From d76ee2d12a6910e589fdcefd7e3ccdbff703e1c0 Mon Sep 17 00:00:00 2001
From: vprusso <vincentrusso1@gmail.com>
Date: Thu, 19 Sep 2024 17:06:58 -0400
Subject: [PATCH 01/24] Adding blog post draft for toqito.

---
 public/images/toqito_first_commit.png | Bin 0 -> 150175 bytes
 public/images/toqito_logo.png         | Bin 0 -> 2379 bytes
 public/images/toqito_stars.png        | Bin 0 -> 317014 bytes
 src/content/blog/2024_toqito.md       |  42 ++++++++++++++++++++++++++
 4 files changed, 42 insertions(+)
 create mode 100644 public/images/toqito_first_commit.png
 create mode 100644 public/images/toqito_logo.png
 create mode 100644 public/images/toqito_stars.png
 create mode 100644 src/content/blog/2024_toqito.md

diff --git a/public/images/toqito_first_commit.png b/public/images/toqito_first_commit.png
new file mode 100644
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diff --git a/src/content/blog/2024_toqito.md b/src/content/blog/2024_toqito.md
new file mode 100644
index 00000000..5817be45
--- /dev/null
+++ b/src/content/blog/2024_toqito.md
@@ -0,0 +1,42 @@
+---
+title: "Toqito: Quantum Information Science Impact through Open Source"
+author: Vincent Russo and Purva Thakre
+day: 19
+month: 9
+year: 2024
+tags:
+    - python
+    - toqito
+    - microgrant
+    - qis
+---
+
+![](/images/toqito_logo.png)
+
+In early 2020, the humble [initial commit](https://github.com/vprusso/toqito/commit/a2f2449c4b9de81becff41cb25f1bca3fa180e8b) of the toqito project ([repo](https://github.com/vprusso/toqito)|[docs](https://toqito.readthedocs.io/en/latest/index.html)) made its way onto GitHub.
+
+![][/images/toqito_first_commit.png]
+
+toqito was launched as a personal research-oriented software project to help me perform more effective research in quantum information. A  tool like this would have been exceedingly helpful to me as a PhD student as it would have allowed me to rapidly test ideas and accelerate the pace and progress of my research.
+
+In the subsequent four years since its inception, toqito has seen significant contribution, development, and usage for different problems in quantum information.
+
+![][/images/toqito_star_chart.png]
+
+toqito is an open-source library for studying various objects in quantum information, namely, states, channels, and measurements. toqito provides numerical tools to study problems about entanglement theory, nonlocal games, and other aspects of quantum information often associated with computer science.
+
+In the early days of toqito, I showed some basic functionality to co-workers with a quantum information background. One of them suggested the Unitary Fund’s [microgrant program](https://unitary.fund/grants/). To my delight, toqito was accepted as a microgrant recipient after making a short video for the application. Not only was the monetary reward a nice boost of encouragement, but the associated support from the UnitaryFund team pushed me to reach out to other scientists and researchers who may benefit from toqito and potentially guide its development. 
+
+One of the opportunities suggested by the Unitary Fund to promote toqito included a talk to the  [New York Quantum Computing Meetup group](https://www.meetup.com/new-york-quantum-computing-meetup/) participants. I recorded the subsequent [first video on the UnitaryFund YouTube channel](https://www.youtube.com/watch?v=6R7qSszJwBI) that outlined the basic premise of toqito at that time. To promote toqito to a broader audience, a short [whitepaper](https://joss.theoj.org/papers/10.21105/joss.03082) was published in the Journal of Open Source Software.
+
+Later that year, the first [UnitaryHACK 2021](https://unitary.fund/posts/unitaryhack2021/) event took place. This hackathon allows maintainers of quantum open-source (QOSS)  software repositories to participate by adding a set of bountied issues to improve the participating QOSS project. This hackathon also involved some of the earliest external contributors to toqito. 
+
+Toqito has since continued to be a participating project at subsequent UnitaryHACKs ([2022](https://unitary.fund/posts/2022unitaryhack/), [2023](https://unitary.fund/posts/2023_unitaryhack/), and [2024](https://unitaryhack.dev/)) and has gained more users, contributors, and essential features that have been invaluable to the broader community. 
+
+As toqito continued to gain usage and traction, one of the prior contributors of UnitaryHACK 2023 ([Purva Thakre](https://github.com/purva-thakre)) applied for and received a second [microgrant](https://unitary.fund/grants/) from UnitaryFund to continue supporting the project's development. These funds allowed dedicated time to delve into some of the more in-depth feature requests and continue to improve additional aspects of the project, such as thorough testing, documentation, CI/CD, and tutorials. 
+
+In addition to being cited and used in peer-reviewed research papers on quantum information (a complete list can be found [here](https://github.com/vprusso/toqito?tab=readme-ov-file#references)), toqito has also been recognized elsewhere. Toqito was voted one of the [top quantum simulators for 2024 by QuantumInsider](https://thequantuminsider.com/2022/06/14/top-63-quantum-computer-simulators-for-2022/). Recently, [KaiCode](https://www.kaicode.org/2024.html) awarded toqito the first place prize for being the best project of 400+ projects judged on clean code, good project structure, etc.
+
+Toqito continues to be used and contributed to by numerous researchers and software developers in the quantum ecosystem. There are many exciting plans for [the future of toqito](https://github.com/vprusso/toqito/wiki). If you feel that toqito may enhance your research workflow or the toqito roadmap lacks a particular feature, don’t hesitate to contact the developers through the [Discord channel](https://discord.com/channels/764231928676089909/1172282184833454090). If you want to contribute to the project, consult the [contribution guide](https://toqito.readthedocs.io/en/latest/contributing.html), open a PR, or add an issue to [the board](https://github.com/vprusso/toqito/issues).
+
+We look forward to seeing where toqito goes from here!

From fd0ec967ae68084bcc10f54b79b4de896b1e6dd5 Mon Sep 17 00:00:00 2001
From: Vincent Russo <vincentrusso1@gmail.com>
Date: Wed, 25 Sep 2024 08:19:56 -0400
Subject: [PATCH 02/24] Update src/content/blog/2024_toqito.md

Co-authored-by: Purva Thakre <66048318+purva-thakre@users.noreply.github.com>
---
 src/content/blog/2024_toqito.md | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/src/content/blog/2024_toqito.md b/src/content/blog/2024_toqito.md
index 5817be45..a10daf78 100644
--- a/src/content/blog/2024_toqito.md
+++ b/src/content/blog/2024_toqito.md
@@ -17,7 +17,7 @@ In early 2020, the humble [initial commit](https://github.com/vprusso/toqito/com
 
 ![][/images/toqito_first_commit.png]
 
-toqito was launched as a personal research-oriented software project to help me perform more effective research in quantum information. A  tool like this would have been exceedingly helpful to me as a PhD student as it would have allowed me to rapidly test ideas and accelerate the pace and progress of my research.
+toqito was launched as a personal research-oriented software project to help Vincent perform more effective research in quantum information. A  tool like this would have been exceedingly helpful to Vincent as a PhD student as it would have allowed him to rapidly test ideas and accelerate the pace and progress of his research.
 
 In the subsequent four years since its inception, toqito has seen significant contribution, development, and usage for different problems in quantum information.
 

From 762db6257ede8acff1c51f7e8e4f0ba97cf17633 Mon Sep 17 00:00:00 2001
From: Vincent Russo <vincentrusso1@gmail.com>
Date: Wed, 25 Sep 2024 08:20:02 -0400
Subject: [PATCH 03/24] Update src/content/blog/2024_toqito.md

Co-authored-by: Purva Thakre <66048318+purva-thakre@users.noreply.github.com>
---
 src/content/blog/2024_toqito.md | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/src/content/blog/2024_toqito.md b/src/content/blog/2024_toqito.md
index a10daf78..44cd25ec 100644
--- a/src/content/blog/2024_toqito.md
+++ b/src/content/blog/2024_toqito.md
@@ -25,7 +25,7 @@ In the subsequent four years since its inception, toqito has seen significant co
 
 toqito is an open-source library for studying various objects in quantum information, namely, states, channels, and measurements. toqito provides numerical tools to study problems about entanglement theory, nonlocal games, and other aspects of quantum information often associated with computer science.
 
-In the early days of toqito, I showed some basic functionality to co-workers with a quantum information background. One of them suggested the Unitary Fund’s [microgrant program](https://unitary.fund/grants/). To my delight, toqito was accepted as a microgrant recipient after making a short video for the application. Not only was the monetary reward a nice boost of encouragement, but the associated support from the UnitaryFund team pushed me to reach out to other scientists and researchers who may benefit from toqito and potentially guide its development. 
+In the early days of toqito, Vincent showed some basic functionality to co-workers with a quantum information background. One of them suggested the Unitary Fund’s [microgrant program](https://unitary.fund/grants/). To his delight, toqito was accepted as a microgrant recipient after making a short video for the application. Not only was the monetary reward a nice boost of encouragement, but the associated support from the UnitaryFund team pushed him to reach out to other scientists and researchers who may benefit from toqito and potentially guide its development. 
 
 One of the opportunities suggested by the Unitary Fund to promote toqito included a talk to the  [New York Quantum Computing Meetup group](https://www.meetup.com/new-york-quantum-computing-meetup/) participants. I recorded the subsequent [first video on the UnitaryFund YouTube channel](https://www.youtube.com/watch?v=6R7qSszJwBI) that outlined the basic premise of toqito at that time. To promote toqito to a broader audience, a short [whitepaper](https://joss.theoj.org/papers/10.21105/joss.03082) was published in the Journal of Open Source Software.
 

From d1c255e56a6d7cc8c53ab5156a500e3a2ee3d2d0 Mon Sep 17 00:00:00 2001
From: Vincent Russo <vincentrusso1@gmail.com>
Date: Wed, 25 Sep 2024 08:20:11 -0400
Subject: [PATCH 04/24] Update src/content/blog/2024_toqito.md

Co-authored-by: Purva Thakre <66048318+purva-thakre@users.noreply.github.com>
---
 src/content/blog/2024_toqito.md | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/src/content/blog/2024_toqito.md b/src/content/blog/2024_toqito.md
index 44cd25ec..763c24d7 100644
--- a/src/content/blog/2024_toqito.md
+++ b/src/content/blog/2024_toqito.md
@@ -33,7 +33,7 @@ Later that year, the first [UnitaryHACK 2021](https://unitary.fund/posts/unitary
 
 Toqito has since continued to be a participating project at subsequent UnitaryHACKs ([2022](https://unitary.fund/posts/2022unitaryhack/), [2023](https://unitary.fund/posts/2023_unitaryhack/), and [2024](https://unitaryhack.dev/)) and has gained more users, contributors, and essential features that have been invaluable to the broader community. 
 
-As toqito continued to gain usage and traction, one of the prior contributors of UnitaryHACK 2023 ([Purva Thakre](https://github.com/purva-thakre)) applied for and received a second [microgrant](https://unitary.fund/grants/) from UnitaryFund to continue supporting the project's development. These funds allowed dedicated time to delve into some of the more in-depth feature requests and continue to improve additional aspects of the project, such as thorough testing, documentation, CI/CD, and tutorials. 
+As toqito continued to gain usage and traction, another [UF microgrant](https://unitary.fund/grants/) to further develop the project was awarded to a prior contributor of UnitaryHACK 2023 ([Purva Thakre](https://github.com/purva-thakre)). These funds allowed dedicated time to delve into some of the more in-depth feature requests and continue to improve additional aspects of the project, such as thorough testing, documentation, CI/CD, and tutorials. 
 
 In addition to being cited and used in peer-reviewed research papers on quantum information (a complete list can be found [here](https://github.com/vprusso/toqito?tab=readme-ov-file#references)), toqito has also been recognized elsewhere. Toqito was voted one of the [top quantum simulators for 2024 by QuantumInsider](https://thequantuminsider.com/2022/06/14/top-63-quantum-computer-simulators-for-2022/). Recently, [KaiCode](https://www.kaicode.org/2024.html) awarded toqito the first place prize for being the best project of 400+ projects judged on clean code, good project structure, etc.
 

From 0a6992b8cf00680bb9eee1a889450f857d1da88b Mon Sep 17 00:00:00 2001
From: Vincent Russo <vincentrusso1@gmail.com>
Date: Wed, 25 Sep 2024 08:20:18 -0400
Subject: [PATCH 05/24] Update src/content/blog/2024_toqito.md

Co-authored-by: Purva Thakre <66048318+purva-thakre@users.noreply.github.com>
---
 src/content/blog/2024_toqito.md | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/src/content/blog/2024_toqito.md b/src/content/blog/2024_toqito.md
index 763c24d7..6da2b3b5 100644
--- a/src/content/blog/2024_toqito.md
+++ b/src/content/blog/2024_toqito.md
@@ -27,7 +27,7 @@ toqito is an open-source library for studying various objects in quantum informa
 
 In the early days of toqito, Vincent showed some basic functionality to co-workers with a quantum information background. One of them suggested the Unitary Fund’s [microgrant program](https://unitary.fund/grants/). To his delight, toqito was accepted as a microgrant recipient after making a short video for the application. Not only was the monetary reward a nice boost of encouragement, but the associated support from the UnitaryFund team pushed him to reach out to other scientists and researchers who may benefit from toqito and potentially guide its development. 
 
-One of the opportunities suggested by the Unitary Fund to promote toqito included a talk to the  [New York Quantum Computing Meetup group](https://www.meetup.com/new-york-quantum-computing-meetup/) participants. I recorded the subsequent [first video on the UnitaryFund YouTube channel](https://www.youtube.com/watch?v=6R7qSszJwBI) that outlined the basic premise of toqito at that time. To promote toqito to a broader audience, a short [whitepaper](https://joss.theoj.org/papers/10.21105/joss.03082) was published in the Journal of Open Source Software.
+One of the opportunities suggested by the Unitary Fund to promote toqito included a talk to the  [New York Quantum Computing Meetup group](https://www.meetup.com/new-york-quantum-computing-meetup/) participants. Vincent recorded the subsequent [first video on the UnitaryFund YouTube channel](https://www.youtube.com/watch?v=6R7qSszJwBI) that outlined the basic premise of toqito at that time. To promote toqito to a broader audience, a short [whitepaper](https://joss.theoj.org/papers/10.21105/joss.03082) was published in the Journal of Open Source Software.
 
 Later that year, the first [UnitaryHACK 2021](https://unitary.fund/posts/unitaryhack2021/) event took place. This hackathon allows maintainers of quantum open-source (QOSS)  software repositories to participate by adding a set of bountied issues to improve the participating QOSS project. This hackathon also involved some of the earliest external contributors to toqito. 
 

From a3b0b69de497ecdd3f55700b948b48917999b221 Mon Sep 17 00:00:00 2001
From: Vincent Russo <vincentrusso1@gmail.com>
Date: Wed, 25 Sep 2024 08:20:25 -0400
Subject: [PATCH 06/24] Update src/content/blog/2024_toqito.md

Co-authored-by: Purva Thakre <66048318+purva-thakre@users.noreply.github.com>
---
 src/content/blog/2024_toqito.md | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/src/content/blog/2024_toqito.md b/src/content/blog/2024_toqito.md
index 6da2b3b5..5efbe3d6 100644
--- a/src/content/blog/2024_toqito.md
+++ b/src/content/blog/2024_toqito.md
@@ -35,7 +35,7 @@ Toqito has since continued to be a participating project at subsequent UnitaryHA
 
 As toqito continued to gain usage and traction, another [UF microgrant](https://unitary.fund/grants/) to further develop the project was awarded to a prior contributor of UnitaryHACK 2023 ([Purva Thakre](https://github.com/purva-thakre)). These funds allowed dedicated time to delve into some of the more in-depth feature requests and continue to improve additional aspects of the project, such as thorough testing, documentation, CI/CD, and tutorials. 
 
-In addition to being cited and used in peer-reviewed research papers on quantum information (a complete list can be found [here](https://github.com/vprusso/toqito?tab=readme-ov-file#references)), toqito has also been recognized elsewhere. Toqito was voted one of the [top quantum simulators for 2024 by QuantumInsider](https://thequantuminsider.com/2022/06/14/top-63-quantum-computer-simulators-for-2022/). Recently, [KaiCode](https://www.kaicode.org/2024.html) awarded toqito the first place prize for being the best project of 400+ projects judged on clean code, good project structure, etc.
+In addition to being cited and used in peer-reviewed research papers on quantum information (a complete list can be found [here](https://github.com/vprusso/toqito?tab=readme-ov-file#references)), toqito has also been recognized elsewhere. Toqito was voted one of the [top quantum simulators for 2024 by QuantumInsider](https://thequantuminsider.com/2022/06/14/top-63-quantum-computer-simulators-for-2022/). Recently, [KaiCode](https://www.kaicode.org/2024.html) awarded toqito the first place prize for being the best project of 400+ projects judged on clean code, good project structure, etc. Furthermore, as of September 2024, toqito is now an affiliated project of NumFOCUS.
 
 Toqito continues to be used and contributed to by numerous researchers and software developers in the quantum ecosystem. There are many exciting plans for [the future of toqito](https://github.com/vprusso/toqito/wiki). If you feel that toqito may enhance your research workflow or the toqito roadmap lacks a particular feature, don’t hesitate to contact the developers through the [Discord channel](https://discord.com/channels/764231928676089909/1172282184833454090). If you want to contribute to the project, consult the [contribution guide](https://toqito.readthedocs.io/en/latest/contributing.html), open a PR, or add an issue to [the board](https://github.com/vprusso/toqito/issues).
 

From 68f1fb978479d6f5b92316f61f42d3c7eb4795c2 Mon Sep 17 00:00:00 2001
From: Vincent Russo <vincentrusso1@gmail.com>
Date: Thu, 26 Sep 2024 09:19:22 -0400
Subject: [PATCH 07/24] Update src/content/blog/2024_toqito.md

Co-authored-by: Nathan Shammah <nathan.shammah@gmail.com>
---
 src/content/blog/2024_toqito.md | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/src/content/blog/2024_toqito.md b/src/content/blog/2024_toqito.md
index 5efbe3d6..be7993e2 100644
--- a/src/content/blog/2024_toqito.md
+++ b/src/content/blog/2024_toqito.md
@@ -17,7 +17,7 @@ In early 2020, the humble [initial commit](https://github.com/vprusso/toqito/com
 
 ![][/images/toqito_first_commit.png]
 
-toqito was launched as a personal research-oriented software project to help Vincent perform more effective research in quantum information. A  tool like this would have been exceedingly helpful to Vincent as a PhD student as it would have allowed him to rapidly test ideas and accelerate the pace and progress of his research.
+toqito was launched as a personal research-oriented software project to help Vincent Russo perform more effective research in quantum information. A  tool like this would have been exceedingly helpful to Vincent as a PhD student as it would have allowed him to rapidly test ideas and accelerate the pace and progress of his research.
 
 In the subsequent four years since its inception, toqito has seen significant contribution, development, and usage for different problems in quantum information.
 

From a384ef056c4539d1fbe451ebf1975969d145be9f Mon Sep 17 00:00:00 2001
From: vprusso <vincentrusso1@gmail.com>
Date: Thu, 26 Sep 2024 09:24:26 -0400
Subject: [PATCH 08/24] Fixing some edits. Fixing image rendering. Adding
 content on QETLAB.

---
 src/content/blog/2024_toqito.md | 8 ++++----
 1 file changed, 4 insertions(+), 4 deletions(-)

diff --git a/src/content/blog/2024_toqito.md b/src/content/blog/2024_toqito.md
index be7993e2..7bcce4ae 100644
--- a/src/content/blog/2024_toqito.md
+++ b/src/content/blog/2024_toqito.md
@@ -15,21 +15,21 @@ tags:
 
 In early 2020, the humble [initial commit](https://github.com/vprusso/toqito/commit/a2f2449c4b9de81becff41cb25f1bca3fa180e8b) of the toqito project ([repo](https://github.com/vprusso/toqito)|[docs](https://toqito.readthedocs.io/en/latest/index.html)) made its way onto GitHub.
 
-![][/images/toqito_first_commit.png]
+![](/images/toqito_first_commit.png)
 
 toqito was launched as a personal research-oriented software project to help Vincent Russo perform more effective research in quantum information. A  tool like this would have been exceedingly helpful to Vincent as a PhD student as it would have allowed him to rapidly test ideas and accelerate the pace and progress of his research.
 
 In the subsequent four years since its inception, toqito has seen significant contribution, development, and usage for different problems in quantum information.
 
-![][/images/toqito_star_chart.png]
+![](/images/toqito_star_chart.png)
 
-toqito is an open-source library for studying various objects in quantum information, namely, states, channels, and measurements. toqito provides numerical tools to study problems about entanglement theory, nonlocal games, and other aspects of quantum information often associated with computer science.
+toqito is an open-source library for studying various objects in quantum information, namely, states, channels, and measurements. toqito provides numerical tools to study problems about entanglement theory, nonlocal games, and other aspects of quantum information often associated with computer science. Toqito is similar to and indeed inspired by the extensive [QETLAB]() MATLAB library. The goal was to expand on the set of functionalities offered by QETLAB and to also offer this functionality to Python programmers. This allows users to benefit from this functionality without the need of a MATLAB license. Additionally, as Python is a language that is widely used by the quantum community, using Python was a natural choice of implementation.
 
 In the early days of toqito, Vincent showed some basic functionality to co-workers with a quantum information background. One of them suggested the Unitary Fund’s [microgrant program](https://unitary.fund/grants/). To his delight, toqito was accepted as a microgrant recipient after making a short video for the application. Not only was the monetary reward a nice boost of encouragement, but the associated support from the UnitaryFund team pushed him to reach out to other scientists and researchers who may benefit from toqito and potentially guide its development. 
 
 One of the opportunities suggested by the Unitary Fund to promote toqito included a talk to the  [New York Quantum Computing Meetup group](https://www.meetup.com/new-york-quantum-computing-meetup/) participants. Vincent recorded the subsequent [first video on the UnitaryFund YouTube channel](https://www.youtube.com/watch?v=6R7qSszJwBI) that outlined the basic premise of toqito at that time. To promote toqito to a broader audience, a short [whitepaper](https://joss.theoj.org/papers/10.21105/joss.03082) was published in the Journal of Open Source Software.
 
-Later that year, the first [UnitaryHACK 2021](https://unitary.fund/posts/unitaryhack2021/) event took place. This hackathon allows maintainers of quantum open-source (QOSS)  software repositories to participate by adding a set of bountied issues to improve the participating QOSS project. This hackathon also involved some of the earliest external contributors to toqito. 
+Later that year, the first [UnitaryHACK 2021](https://unitary.fund/posts/unitaryhack2021/) event took place. This hackathon allows maintainers of quantum open-source (QOSS) software repositories to participate by adding a set of bountied issues to improve the participating QOSS project. This hackathon also involved some of the earliest external contributors to toqito. 
 
 Toqito has since continued to be a participating project at subsequent UnitaryHACKs ([2022](https://unitary.fund/posts/2022unitaryhack/), [2023](https://unitary.fund/posts/2023_unitaryhack/), and [2024](https://unitaryhack.dev/)) and has gained more users, contributors, and essential features that have been invaluable to the broader community. 
 

From 87db351e375c5636a25da2dd399e032e41d2881f Mon Sep 17 00:00:00 2001
From: Purva Thakre <purva.athakre@gmail.com>
Date: Wed, 2 Oct 2024 20:55:36 -0500
Subject: [PATCH 09/24] test commit to verify I am not making changes to a
 separate branch

---
 src/content/blog/2024_toqito.md | 2 ++
 1 file changed, 2 insertions(+)

diff --git a/src/content/blog/2024_toqito.md b/src/content/blog/2024_toqito.md
index 7bcce4ae..269a7cad 100644
--- a/src/content/blog/2024_toqito.md
+++ b/src/content/blog/2024_toqito.md
@@ -40,3 +40,5 @@ In addition to being cited and used in peer-reviewed research papers on quantum
 Toqito continues to be used and contributed to by numerous researchers and software developers in the quantum ecosystem. There are many exciting plans for [the future of toqito](https://github.com/vprusso/toqito/wiki). If you feel that toqito may enhance your research workflow or the toqito roadmap lacks a particular feature, don’t hesitate to contact the developers through the [Discord channel](https://discord.com/channels/764231928676089909/1172282184833454090). If you want to contribute to the project, consult the [contribution guide](https://toqito.readthedocs.io/en/latest/contributing.html), open a PR, or add an issue to [the board](https://github.com/vprusso/toqito/issues).
 
 We look forward to seeing where toqito goes from here!
+
+test change
\ No newline at end of file

From d0f9e4abec99eca07538739cd668c2211ed9d702 Mon Sep 17 00:00:00 2001
From: Purva Thakre <purva.athakre@gmail.com>
Date: Fri, 4 Oct 2024 07:59:48 -0500
Subject: [PATCH 10/24] add description of toqito submodules

---
 src/content/blog/2024_toqito.md | 20 ++++++++++++++++----
 1 file changed, 16 insertions(+), 4 deletions(-)

diff --git a/src/content/blog/2024_toqito.md b/src/content/blog/2024_toqito.md
index 269a7cad..01e94419 100644
--- a/src/content/blog/2024_toqito.md
+++ b/src/content/blog/2024_toqito.md
@@ -23,7 +23,21 @@ In the subsequent four years since its inception, toqito has seen significant co
 
 ![](/images/toqito_star_chart.png)
 
-toqito is an open-source library for studying various objects in quantum information, namely, states, channels, and measurements. toqito provides numerical tools to study problems about entanglement theory, nonlocal games, and other aspects of quantum information often associated with computer science. Toqito is similar to and indeed inspired by the extensive [QETLAB]() MATLAB library. The goal was to expand on the set of functionalities offered by QETLAB and to also offer this functionality to Python programmers. This allows users to benefit from this functionality without the need of a MATLAB license. Additionally, as Python is a language that is widely used by the quantum community, using Python was a natural choice of implementation.
+toqito is an open-source Python library for studying various objects in quantum information, namely, states, channels, and measurements. toqito provides numerical tools to study problems about entanglement theory, nonlocal games, and other aspects of quantum information often associated with computer science. Toqito is similar to and indeed inspired by the extensive [QETLAB]() MATLAB library. The goal was to expand on the set of functionalities offered by QETLAB and to also offer this functionality to Python programmers. This allows users to benefit from this functionality without the need of a MATLAB license. Additionally, as Python is a language that is widely used by the quantum community, using Python was a natural choice of implementation.
+
+toqito contains various functions for fundamental operations in quantum information in addition to semidefinite programs
+relying on the convex optimization module in `cvxpy`. In modules like [`states`](https://toqito.readthedocs.io/en/latest/autoapi/states/index.html), [`channels`](https://toqito.readthedocs.io/en/latest/autoapi/channels/index.html) and [`matrices`](https://toqito.readthedocs.io/en/latest/autoapi/matrices/index.html) a user can obtain quantum states, quantum channels and general matrices to utilize in their calculation. Furthermore, other submodules can apply operations ([`channel_ops`](https://toqito.readthedocs.io/en/latest/autoapi/channel_ops/index.html), [`matrix_ops`](https://toqito.readthedocs.io/en/latest/autoapi/matrix_props/index.html) etc.) to the quantum states, channels or matrices of interest as well as verify the inputs of interest satisfy certain properties ([`state_metrics`](https://toqito.readthedocs.io/en/latest/autoapi/state_metrics/index.html), [`channel_props`](https://toqito.readthedocs.io/en/latest/autoapi/channel_props/index.html), [`matrix_props`](https://toqito.readthedocs.io/en/latest/autoapi/matrix_props/index.html) etc.) 
+
+For example, if we want to verify the density matrix of some quantum state has rank 1, toqito's [`state_props`](https://toqito.readthedocs.io/en/latest/autoapi/state_props/index.html) module makes it convenient to do so. 
+
+```py
+from toqito.states import ghz
+from toqito.state_props import is_pure
+
+ghz_state = ghz(2, 3)
+rho = ghz_state @ ghz_state.conj().T
+is_pure(rho)
+```
 
 In the early days of toqito, Vincent showed some basic functionality to co-workers with a quantum information background. One of them suggested the Unitary Fund’s [microgrant program](https://unitary.fund/grants/). To his delight, toqito was accepted as a microgrant recipient after making a short video for the application. Not only was the monetary reward a nice boost of encouragement, but the associated support from the UnitaryFund team pushed him to reach out to other scientists and researchers who may benefit from toqito and potentially guide its development. 
 
@@ -39,6 +53,4 @@ In addition to being cited and used in peer-reviewed research papers on quantum
 
 Toqito continues to be used and contributed to by numerous researchers and software developers in the quantum ecosystem. There are many exciting plans for [the future of toqito](https://github.com/vprusso/toqito/wiki). If you feel that toqito may enhance your research workflow or the toqito roadmap lacks a particular feature, don’t hesitate to contact the developers through the [Discord channel](https://discord.com/channels/764231928676089909/1172282184833454090). If you want to contribute to the project, consult the [contribution guide](https://toqito.readthedocs.io/en/latest/contributing.html), open a PR, or add an issue to [the board](https://github.com/vprusso/toqito/issues).
 
-We look forward to seeing where toqito goes from here!
-
-test change
\ No newline at end of file
+We look forward to seeing where toqito goes from here!
\ No newline at end of file

From a324666b0d6888296afb7559058c8b46a0551b0b Mon Sep 17 00:00:00 2001
From: Purva Thakre <purva.athakre@gmail.com>
Date: Fri, 4 Oct 2024 08:11:09 -0500
Subject: [PATCH 11/24] add info about rand, perm

---
 src/content/blog/2024_toqito.md | 6 +++---
 1 file changed, 3 insertions(+), 3 deletions(-)

diff --git a/src/content/blog/2024_toqito.md b/src/content/blog/2024_toqito.md
index 01e94419..30231348 100644
--- a/src/content/blog/2024_toqito.md
+++ b/src/content/blog/2024_toqito.md
@@ -25,10 +25,10 @@ In the subsequent four years since its inception, toqito has seen significant co
 
 toqito is an open-source Python library for studying various objects in quantum information, namely, states, channels, and measurements. toqito provides numerical tools to study problems about entanglement theory, nonlocal games, and other aspects of quantum information often associated with computer science. Toqito is similar to and indeed inspired by the extensive [QETLAB]() MATLAB library. The goal was to expand on the set of functionalities offered by QETLAB and to also offer this functionality to Python programmers. This allows users to benefit from this functionality without the need of a MATLAB license. Additionally, as Python is a language that is widely used by the quantum community, using Python was a natural choice of implementation.
 
-toqito contains various functions for fundamental operations in quantum information in addition to semidefinite programs
-relying on the convex optimization module in `cvxpy`. In modules like [`states`](https://toqito.readthedocs.io/en/latest/autoapi/states/index.html), [`channels`](https://toqito.readthedocs.io/en/latest/autoapi/channels/index.html) and [`matrices`](https://toqito.readthedocs.io/en/latest/autoapi/matrices/index.html) a user can obtain quantum states, quantum channels and general matrices to utilize in their calculation. Furthermore, other submodules can apply operations ([`channel_ops`](https://toqito.readthedocs.io/en/latest/autoapi/channel_ops/index.html), [`matrix_ops`](https://toqito.readthedocs.io/en/latest/autoapi/matrix_props/index.html) etc.) to the quantum states, channels or matrices of interest as well as verify the inputs of interest satisfy certain properties ([`state_metrics`](https://toqito.readthedocs.io/en/latest/autoapi/state_metrics/index.html), [`channel_props`](https://toqito.readthedocs.io/en/latest/autoapi/channel_props/index.html), [`matrix_props`](https://toqito.readthedocs.io/en/latest/autoapi/matrix_props/index.html) etc.) 
+toqito contains various functions for fundamental operations in quantum information in addition to quantum semidefinite programs
+relying on the convex optimization module in `cvxpy`. In modules like [`states`](https://toqito.readthedocs.io/en/latest/autoapi/states/index.html), [`channels`](https://toqito.readthedocs.io/en/latest/autoapi/channels/index.html) and [`matrices`](https://toqito.readthedocs.io/en/latest/autoapi/matrices/index.html) a user can obtain quantum states, quantum channels and general matrices to utilize in their calculation. The [`rand`](https://toqito.readthedocs.io/en/latest/autoapi/rand/index.html) module in toqito helps generate various random matrices while the [`perms`](https://toqito.readthedocs.io/en/latest/autoapi/perms/index.html) module provides different permutation operators.
 
-For example, if we want to verify the density matrix of some quantum state has rank 1, toqito's [`state_props`](https://toqito.readthedocs.io/en/latest/autoapi/state_props/index.html) module makes it convenient to do so. 
+Furthermore, other submodules can apply operations ([`channel_ops`](https://toqito.readthedocs.io/en/latest/autoapi/channel_ops/index.html), [`matrix_ops`](https://toqito.readthedocs.io/en/latest/autoapi/matrix_props/index.html) etc.) to the quantum states, channels or matrices of interest as well as verify the inputs of interest satisfy certain properties ([`state_metrics`](https://toqito.readthedocs.io/en/latest/autoapi/state_metrics/index.html), [`channel_props`](https://toqito.readthedocs.io/en/latest/autoapi/channel_props/index.html), [`matrix_props`](https://toqito.readthedocs.io/en/latest/autoapi/matrix_props/index.html) etc.) For example, if we want to verify the density matrix of some quantum state has rank 1, toqito's [`state_props`](https://toqito.readthedocs.io/en/latest/autoapi/state_props/index.html) module makes it convenient to do so. 
 
 ```py
 from toqito.states import ghz

From 1fa3a87aef60b42c450aae47e6efa0b89b8d04fe Mon Sep 17 00:00:00 2001
From: Purva Thakre <purva.athakre@gmail.com>
Date: Fri, 4 Oct 2024 08:27:02 -0500
Subject: [PATCH 12/24] add info about references

---
 src/content/blog/2024_toqito.md | 10 ++++++----
 1 file changed, 6 insertions(+), 4 deletions(-)

diff --git a/src/content/blog/2024_toqito.md b/src/content/blog/2024_toqito.md
index 30231348..bad74bb6 100644
--- a/src/content/blog/2024_toqito.md
+++ b/src/content/blog/2024_toqito.md
@@ -26,9 +26,9 @@ In the subsequent four years since its inception, toqito has seen significant co
 toqito is an open-source Python library for studying various objects in quantum information, namely, states, channels, and measurements. toqito provides numerical tools to study problems about entanglement theory, nonlocal games, and other aspects of quantum information often associated with computer science. Toqito is similar to and indeed inspired by the extensive [QETLAB]() MATLAB library. The goal was to expand on the set of functionalities offered by QETLAB and to also offer this functionality to Python programmers. This allows users to benefit from this functionality without the need of a MATLAB license. Additionally, as Python is a language that is widely used by the quantum community, using Python was a natural choice of implementation.
 
 toqito contains various functions for fundamental operations in quantum information in addition to quantum semidefinite programs
-relying on the convex optimization module in `cvxpy`. In modules like [`states`](https://toqito.readthedocs.io/en/latest/autoapi/states/index.html), [`channels`](https://toqito.readthedocs.io/en/latest/autoapi/channels/index.html) and [`matrices`](https://toqito.readthedocs.io/en/latest/autoapi/matrices/index.html) a user can obtain quantum states, quantum channels and general matrices to utilize in their calculation. The [`rand`](https://toqito.readthedocs.io/en/latest/autoapi/rand/index.html) module in toqito helps generate various random matrices while the [`perms`](https://toqito.readthedocs.io/en/latest/autoapi/perms/index.html) module provides different permutation operators.
+relying on the convex optimization module in `cvxpy`. In modules like [`states`](https://toqito.readthedocs.io/en/latest/autoapi/states/index.html), [`channels`](https://toqito.readthedocs.io/en/latest/autoapi/channels/index.html) and [`matrices`](https://toqito.readthedocs.io/en/latest/autoapi/matrices/index.html) a user can obtain quantum states, quantum channels and general matrices to utilize in their calculation. The [`rand`](https://toqito.readthedocs.io/en/latest/autoapi/rand/index.html) module in toqito helps generate various random matrices while the [`perms`](https://toqito.readthedocs.io/en/latest/autoapi/perms/index.html) module provides different permutation operators.Furthermore, other submodules can apply operations ([`channel_ops`](https://toqito.readthedocs.io/en/latest/autoapi/channel_ops/index.html), [`matrix_ops`](https://toqito.readthedocs.io/en/latest/autoapi/matrix_props/index.html) etc.) to the quantum states, channels or matrices of interest as well as verify the objects of interest satisfy certain properties ([`state_metrics`](https://toqito.readthedocs.io/en/latest/autoapi/state_metrics/index.html), [`channel_props`](https://toqito.readthedocs.io/en/latest/autoapi/channel_props/index.html), [`matrix_props`](https://toqito.readthedocs.io/en/latest/autoapi/matrix_props/index.html) etc.)
 
-Furthermore, other submodules can apply operations ([`channel_ops`](https://toqito.readthedocs.io/en/latest/autoapi/channel_ops/index.html), [`matrix_ops`](https://toqito.readthedocs.io/en/latest/autoapi/matrix_props/index.html) etc.) to the quantum states, channels or matrices of interest as well as verify the inputs of interest satisfy certain properties ([`state_metrics`](https://toqito.readthedocs.io/en/latest/autoapi/state_metrics/index.html), [`channel_props`](https://toqito.readthedocs.io/en/latest/autoapi/channel_props/index.html), [`matrix_props`](https://toqito.readthedocs.io/en/latest/autoapi/matrix_props/index.html) etc.) For example, if we want to verify the density matrix of some quantum state has rank 1, toqito's [`state_props`](https://toqito.readthedocs.io/en/latest/autoapi/state_props/index.html) module makes it convenient to do so. 
+For example, if we want to verify the density matrix of some quantum state has rank 1, toqito's [`state_props`](https://toqito.readthedocs.io/en/latest/autoapi/state_props/index.html) module makes it convenient to do so. 
 
 ```py
 from toqito.states import ghz
@@ -47,9 +47,11 @@ Later that year, the first [UnitaryHACK 2021](https://unitary.fund/posts/unitary
 
 Toqito has since continued to be a participating project at subsequent UnitaryHACKs ([2022](https://unitary.fund/posts/2022unitaryhack/), [2023](https://unitary.fund/posts/2023_unitaryhack/), and [2024](https://unitaryhack.dev/)) and has gained more users, contributors, and essential features that have been invaluable to the broader community. 
 
-As toqito continued to gain usage and traction, another [UF microgrant](https://unitary.fund/grants/) to further develop the project was awarded to a prior contributor of UnitaryHACK 2023 ([Purva Thakre](https://github.com/purva-thakre)). These funds allowed dedicated time to delve into some of the more in-depth feature requests and continue to improve additional aspects of the project, such as thorough testing, documentation, CI/CD, and tutorials. 
+As toqito continued to gain usage and traction, another [UF microgrant](https://unitary.fund/grants/) to further develop the project was awarded to a prior contributor of UnitaryHACK 2023 ([Purva Thakre](https://github.com/purva-thakre)). These funds allowed dedicated time to delve into some of the more in-depth feature requests and continue to improve additional aspects of the project, such as thorough testing, documentation, CI/CD, and tutorials.
 
-In addition to being cited and used in peer-reviewed research papers on quantum information (a complete list can be found [here](https://github.com/vprusso/toqito?tab=readme-ov-file#references)), toqito has also been recognized elsewhere. Toqito was voted one of the [top quantum simulators for 2024 by QuantumInsider](https://thequantuminsider.com/2022/06/14/top-63-quantum-computer-simulators-for-2022/). Recently, [KaiCode](https://www.kaicode.org/2024.html) awarded toqito the first place prize for being the best project of 400+ projects judged on clean code, good project structure, etc. Furthermore, as of September 2024, toqito is now an affiliated project of NumFOCUS.
+Toqito has been cited and used in peer-reviewed research papers on quantum information (a complete list can be found [here]. In [arXiv:2307.02551](https://arxiv.org/abs/2307.02551), toqito was listed as a notable project containing DPS[Doherty-Parrilo-Spedalier](https://arxiv.org/abs/quant-ph/0112007) and NPA[Navascués-Pironio-Ací](https://arxiv.org/abs/quant-ph/0607119) hierarchies. `toqito/rand` was used in [arXiv:2306.09444](https://arxiv.org/abs/2306.09444) to generate random density matrices.
+
+In addition to being cited and used in peer-reviewed research papers on quantum information (https://github.com/vprusso/toqito?tab=readme-ov-file#references)), toqito has also been recognized elsewhere. Toqito was voted one of the [top quantum simulators for 2024 by QuantumInsider](https://thequantuminsider.com/2022/06/14/top-63-quantum-computer-simulators-for-2022/). Recently, [KaiCode](https://www.kaicode.org/2024.html) awarded toqito the first place prize for being the best project of 400+ projects judged on clean code, good project structure, etc. Furthermore, as of September 2024, toqito is now an [affiliated project of NumFOCUS](https://numfocus.medium.com/august-september-project-updates-e3dac6f86aa8).
 
 Toqito continues to be used and contributed to by numerous researchers and software developers in the quantum ecosystem. There are many exciting plans for [the future of toqito](https://github.com/vprusso/toqito/wiki). If you feel that toqito may enhance your research workflow or the toqito roadmap lacks a particular feature, don’t hesitate to contact the developers through the [Discord channel](https://discord.com/channels/764231928676089909/1172282184833454090). If you want to contribute to the project, consult the [contribution guide](https://toqito.readthedocs.io/en/latest/contributing.html), open a PR, or add an issue to [the board](https://github.com/vprusso/toqito/issues).
 

From daf2d3a56d92fe337fa4cc02a265b7ddad3fb4f1 Mon Sep 17 00:00:00 2001
From: Purva Thakre <purva.athakre@gmail.com>
Date: Fri, 4 Oct 2024 08:29:52 -0500
Subject: [PATCH 13/24] broken stars img link

---
 src/content/blog/2024_toqito.md | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/src/content/blog/2024_toqito.md b/src/content/blog/2024_toqito.md
index bad74bb6..7d219e46 100644
--- a/src/content/blog/2024_toqito.md
+++ b/src/content/blog/2024_toqito.md
@@ -21,7 +21,7 @@ toqito was launched as a personal research-oriented software project to help Vin
 
 In the subsequent four years since its inception, toqito has seen significant contribution, development, and usage for different problems in quantum information.
 
-![](/images/toqito_star_chart.png)
+![](/images/toqito_stars.png)
 
 toqito is an open-source Python library for studying various objects in quantum information, namely, states, channels, and measurements. toqito provides numerical tools to study problems about entanglement theory, nonlocal games, and other aspects of quantum information often associated with computer science. Toqito is similar to and indeed inspired by the extensive [QETLAB]() MATLAB library. The goal was to expand on the set of functionalities offered by QETLAB and to also offer this functionality to Python programmers. This allows users to benefit from this functionality without the need of a MATLAB license. Additionally, as Python is a language that is widely used by the quantum community, using Python was a natural choice of implementation.
 

From cebedac84733c84939a87e69b944e6362f832510 Mon Sep 17 00:00:00 2001
From: Purva Thakre <purva.athakre@gmail.com>
Date: Fri, 4 Oct 2024 08:35:45 -0500
Subject: [PATCH 14/24] typos

---
 src/content/blog/2024_toqito.md | 6 +++---
 1 file changed, 3 insertions(+), 3 deletions(-)

diff --git a/src/content/blog/2024_toqito.md b/src/content/blog/2024_toqito.md
index 7d219e46..0d0b70f9 100644
--- a/src/content/blog/2024_toqito.md
+++ b/src/content/blog/2024_toqito.md
@@ -26,7 +26,7 @@ In the subsequent four years since its inception, toqito has seen significant co
 toqito is an open-source Python library for studying various objects in quantum information, namely, states, channels, and measurements. toqito provides numerical tools to study problems about entanglement theory, nonlocal games, and other aspects of quantum information often associated with computer science. Toqito is similar to and indeed inspired by the extensive [QETLAB]() MATLAB library. The goal was to expand on the set of functionalities offered by QETLAB and to also offer this functionality to Python programmers. This allows users to benefit from this functionality without the need of a MATLAB license. Additionally, as Python is a language that is widely used by the quantum community, using Python was a natural choice of implementation.
 
 toqito contains various functions for fundamental operations in quantum information in addition to quantum semidefinite programs
-relying on the convex optimization module in `cvxpy`. In modules like [`states`](https://toqito.readthedocs.io/en/latest/autoapi/states/index.html), [`channels`](https://toqito.readthedocs.io/en/latest/autoapi/channels/index.html) and [`matrices`](https://toqito.readthedocs.io/en/latest/autoapi/matrices/index.html) a user can obtain quantum states, quantum channels and general matrices to utilize in their calculation. The [`rand`](https://toqito.readthedocs.io/en/latest/autoapi/rand/index.html) module in toqito helps generate various random matrices while the [`perms`](https://toqito.readthedocs.io/en/latest/autoapi/perms/index.html) module provides different permutation operators.Furthermore, other submodules can apply operations ([`channel_ops`](https://toqito.readthedocs.io/en/latest/autoapi/channel_ops/index.html), [`matrix_ops`](https://toqito.readthedocs.io/en/latest/autoapi/matrix_props/index.html) etc.) to the quantum states, channels or matrices of interest as well as verify the objects of interest satisfy certain properties ([`state_metrics`](https://toqito.readthedocs.io/en/latest/autoapi/state_metrics/index.html), [`channel_props`](https://toqito.readthedocs.io/en/latest/autoapi/channel_props/index.html), [`matrix_props`](https://toqito.readthedocs.io/en/latest/autoapi/matrix_props/index.html) etc.)
+relying on the convex optimization module in `cvxpy`. In modules like [`states`](https://toqito.readthedocs.io/en/latest/autoapi/states/index.html), [`channels`](https://toqito.readthedocs.io/en/latest/autoapi/channels/index.html) and [`matrices`](https://toqito.readthedocs.io/en/latest/autoapi/matrices/index.html) a user can obtain quantum states, quantum channels and general matrices to utilize in their calculation. The [`rand`](https://toqito.readthedocs.io/en/latest/autoapi/rand/index.html) module in toqito helps generate various random matrices while the [`perms`](https://toqito.readthedocs.io/en/latest/autoapi/perms/index.html) module provides different permutation operators. Furthermore, other submodules can apply operations ([`channel_ops`](https://toqito.readthedocs.io/en/latest/autoapi/channel_ops/index.html), [`matrix_ops`](https://toqito.readthedocs.io/en/latest/autoapi/matrix_props/index.html) etc.) to the quantum states, channels or matrices of interest as well as verify they satisfy certain properties ([`state_metrics`](https://toqito.readthedocs.io/en/latest/autoapi/state_metrics/index.html), [`channel_props`](https://toqito.readthedocs.io/en/latest/autoapi/channel_props/index.html), [`matrix_props`](https://toqito.readthedocs.io/en/latest/autoapi/matrix_props/index.html) etc.)
 
 For example, if we want to verify the density matrix of some quantum state has rank 1, toqito's [`state_props`](https://toqito.readthedocs.io/en/latest/autoapi/state_props/index.html) module makes it convenient to do so. 
 
@@ -49,9 +49,9 @@ Toqito has since continued to be a participating project at subsequent UnitaryHA
 
 As toqito continued to gain usage and traction, another [UF microgrant](https://unitary.fund/grants/) to further develop the project was awarded to a prior contributor of UnitaryHACK 2023 ([Purva Thakre](https://github.com/purva-thakre)). These funds allowed dedicated time to delve into some of the more in-depth feature requests and continue to improve additional aspects of the project, such as thorough testing, documentation, CI/CD, and tutorials.
 
-Toqito has been cited and used in peer-reviewed research papers on quantum information (a complete list can be found [here]. In [arXiv:2307.02551](https://arxiv.org/abs/2307.02551), toqito was listed as a notable project containing DPS[Doherty-Parrilo-Spedalier](https://arxiv.org/abs/quant-ph/0112007) and NPA[Navascués-Pironio-Ací](https://arxiv.org/abs/quant-ph/0607119) hierarchies. `toqito/rand` was used in [arXiv:2306.09444](https://arxiv.org/abs/2306.09444) to generate random density matrices.
+Toqito has been cited and used in peer-reviewed research papers on quantum information (a complete list can be found [here](https://github.com/vprusso/toqito?tab=readme-ov-file#references)). In [arXiv:2307.02551](https://arxiv.org/abs/2307.02551), toqito was listed as a notable project containing DPS([Doherty-Parrilo-Spedalier](https://arxiv.org/abs/quant-ph/0112007)) and NPA ([Navascués-Pironio-Ací](https://arxiv.org/abs/quant-ph/0607119)) hierarchies. `toqito/rand` was used in [arXiv:2306.09444](https://arxiv.org/abs/2306.09444) to generate random density matrices.
 
-In addition to being cited and used in peer-reviewed research papers on quantum information (https://github.com/vprusso/toqito?tab=readme-ov-file#references)), toqito has also been recognized elsewhere. Toqito was voted one of the [top quantum simulators for 2024 by QuantumInsider](https://thequantuminsider.com/2022/06/14/top-63-quantum-computer-simulators-for-2022/). Recently, [KaiCode](https://www.kaicode.org/2024.html) awarded toqito the first place prize for being the best project of 400+ projects judged on clean code, good project structure, etc. Furthermore, as of September 2024, toqito is now an [affiliated project of NumFOCUS](https://numfocus.medium.com/august-september-project-updates-e3dac6f86aa8).
+In addition to being cited and used in peer-reviewed research papers on quantum information, toqito has also been recognized elsewhere. Toqito was voted one of the [top quantum simulators for 2024 by QuantumInsider](https://thequantuminsider.com/2022/06/14/top-63-quantum-computer-simulators-for-2022/). Recently, [KaiCode](https://www.kaicode.org/2024.html) awarded toqito the first place prize for being the best project of 400+ projects judged on clean code, good project structure, etc. Furthermore, as of September 2024, toqito is now an [affiliated project of NumFOCUS](https://numfocus.medium.com/august-september-project-updates-e3dac6f86aa8).
 
 Toqito continues to be used and contributed to by numerous researchers and software developers in the quantum ecosystem. There are many exciting plans for [the future of toqito](https://github.com/vprusso/toqito/wiki). If you feel that toqito may enhance your research workflow or the toqito roadmap lacks a particular feature, don’t hesitate to contact the developers through the [Discord channel](https://discord.com/channels/764231928676089909/1172282184833454090). If you want to contribute to the project, consult the [contribution guide](https://toqito.readthedocs.io/en/latest/contributing.html), open a PR, or add an issue to [the board](https://github.com/vprusso/toqito/issues).
 

From c7a6aa74cbb85dcdecb102aec96931caea27bafb Mon Sep 17 00:00:00 2001
From: Purva Thakre <purva.athakre@gmail.com>
Date: Fri, 4 Oct 2024 08:50:05 -0500
Subject: [PATCH 15/24] add aidan sims

---
 src/content/blog/2024_toqito.md | 4 ++--
 1 file changed, 2 insertions(+), 2 deletions(-)

diff --git a/src/content/blog/2024_toqito.md b/src/content/blog/2024_toqito.md
index 0d0b70f9..3ba1285b 100644
--- a/src/content/blog/2024_toqito.md
+++ b/src/content/blog/2024_toqito.md
@@ -47,9 +47,9 @@ Later that year, the first [UnitaryHACK 2021](https://unitary.fund/posts/unitary
 
 Toqito has since continued to be a participating project at subsequent UnitaryHACKs ([2022](https://unitary.fund/posts/2022unitaryhack/), [2023](https://unitary.fund/posts/2023_unitaryhack/), and [2024](https://unitaryhack.dev/)) and has gained more users, contributors, and essential features that have been invaluable to the broader community. 
 
-As toqito continued to gain usage and traction, another [UF microgrant](https://unitary.fund/grants/) to further develop the project was awarded to a prior contributor of UnitaryHACK 2023 ([Purva Thakre](https://github.com/purva-thakre)). These funds allowed dedicated time to delve into some of the more in-depth feature requests and continue to improve additional aspects of the project, such as thorough testing, documentation, CI/CD, and tutorials.
+As toqito continued to gain usage and traction, another [UF microgrant](https://unitary.fund/grants/) to further develop the project was awarded to a prior contributor of UnitaryHACK 2023 ([Purva Thakre](https://github.com/purva-thakre)). These funds allowed dedicated time to delve into some of the more in-depth feature requests and continue to improve additional aspects of the project, such as thorough testing, documentation, CI/CD, and tutorials. Another UF microgrant was recently awarded to [Aidan Sims](https://www.linkedin.com/in/aidan-sims) to port [`cvxquad`](https://github.com/hfawzi/cvxquad) functions written in MATLAB into toqito's `channels/` module.
 
-Toqito has been cited and used in peer-reviewed research papers on quantum information (a complete list can be found [here](https://github.com/vprusso/toqito?tab=readme-ov-file#references)). In [arXiv:2307.02551](https://arxiv.org/abs/2307.02551), toqito was listed as a notable project containing DPS([Doherty-Parrilo-Spedalier](https://arxiv.org/abs/quant-ph/0112007)) and NPA ([Navascués-Pironio-Ací](https://arxiv.org/abs/quant-ph/0607119)) hierarchies. `toqito/rand` was used in [arXiv:2306.09444](https://arxiv.org/abs/2306.09444) to generate random density matrices.
+Toqito has been cited and used in peer-reviewed research papers on quantum information. In [arXiv:2307.02551](https://arxiv.org/abs/2307.02551), toqito was listed as a notable project containing DPS([Doherty-Parrilo-Spedalier](https://arxiv.org/abs/quant-ph/0112007)) and NPA ([Navascués-Pironio-Ací](https://arxiv.org/abs/quant-ph/0607119)) hierarchies. `toqito/rand` was used in [arXiv:2306.09444](https://arxiv.org/abs/2306.09444) to generate random density matrices. A complete list of papers citing toqito can be found [here](https://github.com/vprusso/toqito?tab=readme-ov-file#references).
 
 In addition to being cited and used in peer-reviewed research papers on quantum information, toqito has also been recognized elsewhere. Toqito was voted one of the [top quantum simulators for 2024 by QuantumInsider](https://thequantuminsider.com/2022/06/14/top-63-quantum-computer-simulators-for-2022/). Recently, [KaiCode](https://www.kaicode.org/2024.html) awarded toqito the first place prize for being the best project of 400+ projects judged on clean code, good project structure, etc. Furthermore, as of September 2024, toqito is now an [affiliated project of NumFOCUS](https://numfocus.medium.com/august-september-project-updates-e3dac6f86aa8).
 

From d90fb8f1f53dde596215c9b6cb467adc9a086bf0 Mon Sep 17 00:00:00 2001
From: Purva Thakre <purva.athakre@gmail.com>
Date: Fri, 4 Oct 2024 09:26:43 -0500
Subject: [PATCH 16/24] correct Toqito --> toqito

---
 src/content/blog/2024_toqito.md | 12 ++++++------
 1 file changed, 6 insertions(+), 6 deletions(-)

diff --git a/src/content/blog/2024_toqito.md b/src/content/blog/2024_toqito.md
index 3ba1285b..58a2f952 100644
--- a/src/content/blog/2024_toqito.md
+++ b/src/content/blog/2024_toqito.md
@@ -1,5 +1,5 @@
 ---
-title: "Toqito: Quantum Information Science Impact through Open Source"
+title: "toqito: Quantum Information Science Impact through Open Source"
 author: Vincent Russo and Purva Thakre
 day: 19
 month: 9
@@ -23,7 +23,7 @@ In the subsequent four years since its inception, toqito has seen significant co
 
 ![](/images/toqito_stars.png)
 
-toqito is an open-source Python library for studying various objects in quantum information, namely, states, channels, and measurements. toqito provides numerical tools to study problems about entanglement theory, nonlocal games, and other aspects of quantum information often associated with computer science. Toqito is similar to and indeed inspired by the extensive [QETLAB]() MATLAB library. The goal was to expand on the set of functionalities offered by QETLAB and to also offer this functionality to Python programmers. This allows users to benefit from this functionality without the need of a MATLAB license. Additionally, as Python is a language that is widely used by the quantum community, using Python was a natural choice of implementation.
+toqito is an open-source Python library for studying various objects in quantum information, namely, states, channels, and measurements. toqito provides numerical tools to study problems about entanglement theory, nonlocal games, and other aspects of quantum information often associated with computer science. toqito is similar to and indeed inspired by the extensive [QETLAB]() MATLAB library. The goal was to expand on the set of functionalities offered by QETLAB and to also offer this functionality to Python programmers. This allows users to benefit from this functionality without the need of a MATLAB license. Additionally, as Python is a language that is widely used by the quantum community, using Python was a natural choice of implementation.
 
 toqito contains various functions for fundamental operations in quantum information in addition to quantum semidefinite programs
 relying on the convex optimization module in `cvxpy`. In modules like [`states`](https://toqito.readthedocs.io/en/latest/autoapi/states/index.html), [`channels`](https://toqito.readthedocs.io/en/latest/autoapi/channels/index.html) and [`matrices`](https://toqito.readthedocs.io/en/latest/autoapi/matrices/index.html) a user can obtain quantum states, quantum channels and general matrices to utilize in their calculation. The [`rand`](https://toqito.readthedocs.io/en/latest/autoapi/rand/index.html) module in toqito helps generate various random matrices while the [`perms`](https://toqito.readthedocs.io/en/latest/autoapi/perms/index.html) module provides different permutation operators. Furthermore, other submodules can apply operations ([`channel_ops`](https://toqito.readthedocs.io/en/latest/autoapi/channel_ops/index.html), [`matrix_ops`](https://toqito.readthedocs.io/en/latest/autoapi/matrix_props/index.html) etc.) to the quantum states, channels or matrices of interest as well as verify they satisfy certain properties ([`state_metrics`](https://toqito.readthedocs.io/en/latest/autoapi/state_metrics/index.html), [`channel_props`](https://toqito.readthedocs.io/en/latest/autoapi/channel_props/index.html), [`matrix_props`](https://toqito.readthedocs.io/en/latest/autoapi/matrix_props/index.html) etc.)
@@ -45,14 +45,14 @@ One of the opportunities suggested by the Unitary Fund to promote toqito include
 
 Later that year, the first [UnitaryHACK 2021](https://unitary.fund/posts/unitaryhack2021/) event took place. This hackathon allows maintainers of quantum open-source (QOSS) software repositories to participate by adding a set of bountied issues to improve the participating QOSS project. This hackathon also involved some of the earliest external contributors to toqito. 
 
-Toqito has since continued to be a participating project at subsequent UnitaryHACKs ([2022](https://unitary.fund/posts/2022unitaryhack/), [2023](https://unitary.fund/posts/2023_unitaryhack/), and [2024](https://unitaryhack.dev/)) and has gained more users, contributors, and essential features that have been invaluable to the broader community. 
+toqito has since continued to be a participating project at subsequent UnitaryHACKs ([2022](https://unitary.fund/posts/2022unitaryhack/), [2023](https://unitary.fund/posts/2023_unitaryhack/), and [2024](https://unitaryhack.dev/)) and has gained more users, contributors, and essential features that have been invaluable to the broader community. 
 
 As toqito continued to gain usage and traction, another [UF microgrant](https://unitary.fund/grants/) to further develop the project was awarded to a prior contributor of UnitaryHACK 2023 ([Purva Thakre](https://github.com/purva-thakre)). These funds allowed dedicated time to delve into some of the more in-depth feature requests and continue to improve additional aspects of the project, such as thorough testing, documentation, CI/CD, and tutorials. Another UF microgrant was recently awarded to [Aidan Sims](https://www.linkedin.com/in/aidan-sims) to port [`cvxquad`](https://github.com/hfawzi/cvxquad) functions written in MATLAB into toqito's `channels/` module.
 
-Toqito has been cited and used in peer-reviewed research papers on quantum information. In [arXiv:2307.02551](https://arxiv.org/abs/2307.02551), toqito was listed as a notable project containing DPS([Doherty-Parrilo-Spedalier](https://arxiv.org/abs/quant-ph/0112007)) and NPA ([Navascués-Pironio-Ací](https://arxiv.org/abs/quant-ph/0607119)) hierarchies. `toqito/rand` was used in [arXiv:2306.09444](https://arxiv.org/abs/2306.09444) to generate random density matrices. A complete list of papers citing toqito can be found [here](https://github.com/vprusso/toqito?tab=readme-ov-file#references).
+toqito has been cited and used in peer-reviewed research papers on quantum information. In [arXiv:2307.02551](https://arxiv.org/abs/2307.02551), toqito was listed as a notable project containing DPS([Doherty-Parrilo-Spedalier](https://arxiv.org/abs/quant-ph/0112007)) and NPA ([Navascués-Pironio-Ací](https://arxiv.org/abs/quant-ph/0607119)) hierarchies. `toqito/rand` was used in [arXiv:2306.09444](https://arxiv.org/abs/2306.09444) to generate random density matrices. A complete list of papers citing toqito can be found [here](https://github.com/vprusso/toqito?tab=readme-ov-file#references).
 
-In addition to being cited and used in peer-reviewed research papers on quantum information, toqito has also been recognized elsewhere. Toqito was voted one of the [top quantum simulators for 2024 by QuantumInsider](https://thequantuminsider.com/2022/06/14/top-63-quantum-computer-simulators-for-2022/). Recently, [KaiCode](https://www.kaicode.org/2024.html) awarded toqito the first place prize for being the best project of 400+ projects judged on clean code, good project structure, etc. Furthermore, as of September 2024, toqito is now an [affiliated project of NumFOCUS](https://numfocus.medium.com/august-september-project-updates-e3dac6f86aa8).
+In addition to being used by researchers in quantum information, toqito has also been recognized elsewhere. toqito was voted one of the [top quantum simulators for 2024 by QuantumInsider](https://thequantuminsider.com/2022/06/14/top-63-quantum-computer-simulators-for-2022/). Recently, [KaiCode](https://www.kaicode.org/2024.html) awarded toqito the first place prize for being the best project of 400+ projects judged on clean code, good project structure, etc. Furthermore, as of September 2024, toqito is now an [affiliated project of NumFOCUS](https://numfocus.medium.com/august-september-project-updates-e3dac6f86aa8).
 
-Toqito continues to be used and contributed to by numerous researchers and software developers in the quantum ecosystem. There are many exciting plans for [the future of toqito](https://github.com/vprusso/toqito/wiki). If you feel that toqito may enhance your research workflow or the toqito roadmap lacks a particular feature, don’t hesitate to contact the developers through the [Discord channel](https://discord.com/channels/764231928676089909/1172282184833454090). If you want to contribute to the project, consult the [contribution guide](https://toqito.readthedocs.io/en/latest/contributing.html), open a PR, or add an issue to [the board](https://github.com/vprusso/toqito/issues).
+toqito continues to be used and contributed to by numerous researchers and software developers in the quantum ecosystem. There are many exciting plans for [the future of toqito](https://github.com/vprusso/toqito/wiki). If you feel that toqito may enhance your research workflow or the toqito roadmap lacks a particular feature, don’t hesitate to contact the developers through the [Discord channel](https://discord.com/channels/764231928676089909/1172282184833454090). If you want to contribute to the project, consult the [contribution guide](https://toqito.readthedocs.io/en/latest/contributing.html), open a PR, or add an issue to [the board](https://github.com/vprusso/toqito/issues).
 
 We look forward to seeing where toqito goes from here!
\ No newline at end of file

From d2daf0614c45e2e66eba28e9471e3c8dac3012b4 Mon Sep 17 00:00:00 2001
From: vprusso <vincentrusso1@gmail.com>
Date: Tue, 8 Oct 2024 19:02:49 -0400
Subject: [PATCH 17/24] Updating based on Nathan's comments.

---
 src/content/blog/2024_toqito.md | 162 +++++++++++++++++++++++++++-----
 1 file changed, 137 insertions(+), 25 deletions(-)

diff --git a/src/content/blog/2024_toqito.md b/src/content/blog/2024_toqito.md
index 58a2f952..239f952e 100644
--- a/src/content/blog/2024_toqito.md
+++ b/src/content/blog/2024_toqito.md
@@ -1,8 +1,8 @@
 ---
 title: "toqito: Quantum Information Science Impact through Open Source"
 author: Vincent Russo and Purva Thakre
-day: 19
-month: 9
+day: 8
+month: 10
 year: 2024
 tags:
     - python
@@ -13,46 +13,158 @@ tags:
 
 ![](/images/toqito_logo.png)
 
-In early 2020, the humble [initial commit](https://github.com/vprusso/toqito/commit/a2f2449c4b9de81becff41cb25f1bca3fa180e8b) of the toqito project ([repo](https://github.com/vprusso/toqito)|[docs](https://toqito.readthedocs.io/en/latest/index.html)) made its way onto GitHub.
+# The Origins of toqito
+In early 2020, the humble [initial
+commit](https://github.com/vprusso/toqito/commit/a2f2449c4b9de81becff41cb25f1bca3fa180e8b) of the toqito project
+([repo](https://github.com/vprusso/toqito)|[docs](https://toqito.readthedocs.io/en/latest/index.html)) made its way onto
+GitHub.
 
 ![](/images/toqito_first_commit.png)
 
-toqito was launched as a personal research-oriented software project to help Vincent Russo perform more effective research in quantum information. A  tool like this would have been exceedingly helpful to Vincent as a PhD student as it would have allowed him to rapidly test ideas and accelerate the pace and progress of his research.
-
-In the subsequent four years since its inception, toqito has seen significant contribution, development, and usage for different problems in quantum information.
+toqito began as a research tool, designed by Vincent Russo to accelerate his work in quantum information. In the years
+since, it has evolved into a robust, open-source Python library providing powerful tools for researchers and enthusiasts
+alike.
 
 ![](/images/toqito_stars.png)
 
-toqito is an open-source Python library for studying various objects in quantum information, namely, states, channels, and measurements. toqito provides numerical tools to study problems about entanglement theory, nonlocal games, and other aspects of quantum information often associated with computer science. toqito is similar to and indeed inspired by the extensive [QETLAB]() MATLAB library. The goal was to expand on the set of functionalities offered by QETLAB and to also offer this functionality to Python programmers. This allows users to benefit from this functionality without the need of a MATLAB license. Additionally, as Python is a language that is widely used by the quantum community, using Python was a natural choice of implementation.
+# Expanding Quantum Research with toqito
+toqito has grown significantly in the past four years. It allows users to study fundamental objects in quantum
+information: [quantum states](https://toqito.readthedocs.io/en/latest/intro_tutorial.html#states), 
+[quantum channels](https://toqito.readthedocs.io/en/latest/intro_tutorial.html#channels), and 
+[quantum measurements](https://toqito.readthedocs.io/en/latest/intro_tutorial.html#measurements). With tools to tackle
+problems in entanglement theory, nonlocal games, and convex optimization, toqito has made strides in democratizing
+quantum research.
 
-toqito contains various functions for fundamental operations in quantum information in addition to quantum semidefinite programs
-relying on the convex optimization module in `cvxpy`. In modules like [`states`](https://toqito.readthedocs.io/en/latest/autoapi/states/index.html), [`channels`](https://toqito.readthedocs.io/en/latest/autoapi/channels/index.html) and [`matrices`](https://toqito.readthedocs.io/en/latest/autoapi/matrices/index.html) a user can obtain quantum states, quantum channels and general matrices to utilize in their calculation. The [`rand`](https://toqito.readthedocs.io/en/latest/autoapi/rand/index.html) module in toqito helps generate various random matrices while the [`perms`](https://toqito.readthedocs.io/en/latest/autoapi/perms/index.html) module provides different permutation operators. Furthermore, other submodules can apply operations ([`channel_ops`](https://toqito.readthedocs.io/en/latest/autoapi/channel_ops/index.html), [`matrix_ops`](https://toqito.readthedocs.io/en/latest/autoapi/matrix_props/index.html) etc.) to the quantum states, channels or matrices of interest as well as verify they satisfy certain properties ([`state_metrics`](https://toqito.readthedocs.io/en/latest/autoapi/state_metrics/index.html), [`channel_props`](https://toqito.readthedocs.io/en/latest/autoapi/channel_props/index.html), [`matrix_props`](https://toqito.readthedocs.io/en/latest/autoapi/matrix_props/index.html) etc.)
+toqito's main focus is providing tools in Python, inspired by the [QETLAB](https://qetlab.com/) MATLAB library, but
+without the licensing restrictions of MATLAB. Researchers can work with quantum systems using Python’s widely used
+scientific ecosystem.
 
-For example, if we want to verify the density matrix of some quantum state has rank 1, toqito's [`state_props`](https://toqito.readthedocs.io/en/latest/autoapi/state_props/index.html) module makes it convenient to do so. 
+There have also been a number of academic publications that have made used of `toqito` to numerically define and analyze
+certain problems in quantum information. A collection of these can be seen here
 
-```py
-from toqito.states import ghz
-from toqito.state_props import is_pure
+- [![a](https://img.shields.io/static/v1?label=arXiv&message=2406.13430&color=inactive&style=flat-square)](https://arxiv.org/abs/2406.13430) Bandyopadhyay, Somshubhro and Russo, Vincent
+"Distinguishing a maximally entangled basis using LOCC and shared entanglement", (2024).
 
-ghz_state = ghz(2, 3)
-rho = ghz_state @ ghz_state.conj().T
-is_pure(rho)
-```
+- [![a](https://img.shields.io/static/v1?label=arXiv&message=2307.2551&color=inactive&style=flat-square)](https://arxiv.org/abs/2307.02551) Tavakoli, Armin and Pozas-Kerstjens, Alejandro and Brown, Peter and Araújo, Mateus
+"Semidefinite programming relaxations for quantum correlations", (2023).
+
+- [![a](https://img.shields.io/static/v1?label=arXiv&message=2311.17047&color=inactive&style=flat-square)](https://arxiv.org/abs/2311.17047) Johnston, Nathaniel and Russo, Vincent and Sikora, Jamie
+"Tight bounds for antidistinguishability and circulant sets of pure quantum states", (2023).
 
-In the early days of toqito, Vincent showed some basic functionality to co-workers with a quantum information background. One of them suggested the Unitary Fund’s [microgrant program](https://unitary.fund/grants/). To his delight, toqito was accepted as a microgrant recipient after making a short video for the application. Not only was the monetary reward a nice boost of encouragement, but the associated support from the UnitaryFund team pushed him to reach out to other scientists and researchers who may benefit from toqito and potentially guide its development. 
+- [![a](https://img.shields.io/static/v1?label=arXiv&message=2308.15579&color=inactive&style=flat-square)](https://arxiv.org/abs/2308.15579) Pelofske, Elijah and Bartschi, Andreas and Eidenbenz, Stephan and Garcia, Bryan and Kiefer, Boris
+"Probing Quantum Telecloning on Superconducting Quantum Processors", (2023).
+ 
+- [![a](https://img.shields.io/static/v1?label=arXiv&message=2303.07911&color=inactive&style=flat-square)](https://arxiv.org/abs/2303.07911) Philip, Aby and Rethinasamy, Soorya and Russo, Vincent and Wilde, Mark. 
+"Quantum Steering Algorithm for Estimating Fidelity of Separability.", Quantum 8, 1366, (2023).
 
-One of the opportunities suggested by the Unitary Fund to promote toqito included a talk to the  [New York Quantum Computing Meetup group](https://www.meetup.com/new-york-quantum-computing-meetup/) participants. Vincent recorded the subsequent [first video on the UnitaryFund YouTube channel](https://www.youtube.com/watch?v=6R7qSszJwBI) that outlined the basic premise of toqito at that time. To promote toqito to a broader audience, a short [whitepaper](https://joss.theoj.org/papers/10.21105/joss.03082) was published in the Journal of Open Source Software.
+- [![a](https://img.shields.io/static/v1?label=arXiv&message=2302.09401&color=inactive&style=flat-square)](https://arxiv.org/abs/2302.09401) Miszczak, Jarosław Adam. 
+"Symbolic quantum programming for supporting applications of quantum computing technologies.", (2023).
 
-Later that year, the first [UnitaryHACK 2021](https://unitary.fund/posts/unitaryhack2021/) event took place. This hackathon allows maintainers of quantum open-source (QOSS) software repositories to participate by adding a set of bountied issues to improve the participating QOSS project. This hackathon also involved some of the earliest external contributors to toqito. 
+- [![a](https://img.shields.io/static/v1?label=arXiv&message=2306.09444&color=inactive&style=flat-square)](https://arxiv.org/abs/2306.09444) Casalé, Balthazar and Di Molfetta, Giuseppe and Anthoine, Sandrine and Kadri, Hachem. 
+"Large-Scale Quantum Separability Through a Reproducible Machine Learning Lens.", (2023).
 
-toqito has since continued to be a participating project at subsequent UnitaryHACKs ([2022](https://unitary.fund/posts/2022unitaryhack/), [2023](https://unitary.fund/posts/2023_unitaryhack/), and [2024](https://unitaryhack.dev/)) and has gained more users, contributors, and essential features that have been invaluable to the broader community. 
+- [![a](https://img.shields.io/static/v1?label=arXiv&message=2206.08313&color=inactive&style=flat-square)](https://arxiv.org/abs/2206.08313) Russo, Vincent and Sikora, Jamie "Inner products of pure states and their antidistinguishability", Physical Review A, Vol. 107, No. 3, (2023).
 
-As toqito continued to gain usage and traction, another [UF microgrant](https://unitary.fund/grants/) to further develop the project was awarded to a prior contributor of UnitaryHACK 2023 ([Purva Thakre](https://github.com/purva-thakre)). These funds allowed dedicated time to delve into some of the more in-depth feature requests and continue to improve additional aspects of the project, such as thorough testing, documentation, CI/CD, and tutorials. Another UF microgrant was recently awarded to [Aidan Sims](https://www.linkedin.com/in/aidan-sims) to port [`cvxquad`](https://github.com/hfawzi/cvxquad) functions written in MATLAB into toqito's `channels/` module.
+# Core Concepts: Quantum States, Channels, and Measurements
+In quantum information science, quantum states represent the fundamental objects we manipulate, quantum channels
+describe the transformations applied to these states, and quantum measurements allow us to extract information from
+states.
 
-toqito has been cited and used in peer-reviewed research papers on quantum information. In [arXiv:2307.02551](https://arxiv.org/abs/2307.02551), toqito was listed as a notable project containing DPS([Doherty-Parrilo-Spedalier](https://arxiv.org/abs/quant-ph/0112007)) and NPA ([Navascués-Pironio-Ací](https://arxiv.org/abs/quant-ph/0607119)) hierarchies. `toqito/rand` was used in [arXiv:2306.09444](https://arxiv.org/abs/2306.09444) to generate random density matrices. A complete list of papers citing toqito can be found [here](https://github.com/vprusso/toqito?tab=readme-ov-file#references).
+## Example: Defining and Analyzing a Quantum State
+In this example, we calculate the fidelity between two quantum states—-a fundamental task in quantum state comparison.
 
-In addition to being used by researchers in quantum information, toqito has also been recognized elsewhere. toqito was voted one of the [top quantum simulators for 2024 by QuantumInsider](https://thequantuminsider.com/2022/06/14/top-63-quantum-computer-simulators-for-2022/). Recently, [KaiCode](https://www.kaicode.org/2024.html) awarded toqito the first place prize for being the best project of 400+ projects judged on clean code, good project structure, etc. Furthermore, as of September 2024, toqito is now an [affiliated project of NumFOCUS](https://numfocus.medium.com/august-september-project-updates-e3dac6f86aa8).
+For example, in the event where we calculate the fidelity between states that are identical, we should obtain the value
+of 1. This can be observed in toqito as follows.
+
+```py
+>>> from toqito.state_metrics import fidelity
+>>> import numpy as np
+>>> rho = 1 / 2 * np.array(
+...    [[1, 0, 0, 1],
+...     [0, 0, 0, 0],
+...     [0, 0, 0, 0],
+...     [1, 0, 0, 1]]
+... )
+>> sigma = rho
+>>> fidelity(rho, sigma)
+1.0
+```
+
+## Quantum State Discrimination
+A more engaging example is quantum state discrimination, a widely applicable problem in cryptography and quantum
+computing. The goal is to distinguish between different quantum states in an optimal way. This is typically formulated
+as a convex optimization problem.
+
+In toqito, this problem can be tackled efficiently using semidefinite programming (SDP). Below is an example of
+discriminating between two quantum states.
+
+In the following example, we see that it is possible to perfectly distinguish (with minimum-error) amongst the four Bell
+states:
+
+```py
+>>> import numpy as np
+>>> from toqito.states import bell
+>>> from toqito.state_opt import state_distinguishability
+
+>>> states = [bell(0), bell(1), bell(2), bell(3)]
+>>> probs = [1 / 4, 1 / 4, 1 / 4, 1 / 4]
+>>> res, measurements = state_distinguishability(vectors=states, probs=probs, primal_dual="primal")
+np.around(res, decimals=2)
+np.float64(1.0)
+```
 
-toqito continues to be used and contributed to by numerous researchers and software developers in the quantum ecosystem. There are many exciting plans for [the future of toqito](https://github.com/vprusso/toqito/wiki). If you feel that toqito may enhance your research workflow or the toqito roadmap lacks a particular feature, don’t hesitate to contact the developers through the [Discord channel](https://discord.com/channels/764231928676089909/1172282184833454090). If you want to contribute to the project, consult the [contribution guide](https://toqito.readthedocs.io/en/latest/contributing.html), open a PR, or add an issue to [the board](https://github.com/vprusso/toqito/issues).
+Quantum distinguishability is a rich field of research and having the ability to pull "off the shelf" techniques to
+determine the probability of distinguishing a set of quantum states is a useful technique for rapidly iterating on
+research in this domain.
+
+# Unitary Fund accelerates toqito
+
+In the early days of toqito, Vincent showed some basic functionality to co-workers with a quantum information
+background. One of them suggested the Unitary Fund’s [microgrant program](https://unitary.fund/grants/). To his delight,
+toqito was accepted as a microgrant recipient after making a short video for the application. Not only was the monetary
+reward a nice boost of encouragement, but the associated support from the UnitaryFund team pushed him to reach out to
+other scientists and researchers who may benefit from toqito and potentially guide its development. 
+
+One of the opportunities suggested by the Unitary Fund to promote toqito included a talk to the  [New York Quantum
+Computing Meetup group](https://www.meetup.com/new-york-quantum-computing-meetup/) participants. Vincent recorded the
+subsequent [first video on the UnitaryFund YouTube channel](https://www.youtube.com/watch?v=6R7qSszJwBI) that outlined
+the basic premise of toqito at that time. To promote toqito to a broader audience, a short
+[whitepaper](https://joss.theoj.org/papers/10.21105/joss.03082) was published in the Journal of Open Source Software.
+
+Later that year, the first [UnitaryHACK 2021](https://unitary.fund/posts/unitaryhack2021/) event took place. This
+hackathon allows maintainers of quantum open-source (QOSS) software repositories to participate by adding a set of
+bountied issues to improve the participating QOSS project. This hackathon also involved some of the earliest external
+contributors to toqito. 
+
+toqito has since continued to be a participating project at subsequent UnitaryHACKs
+([2022](https://unitary.fund/posts/2022unitaryhack/), [2023](https://unitary.fund/posts/2023_unitaryhack/), and
+[2024](https://unitaryhack.dev/)) and has gained more users, contributors, and essential features that have been
+invaluable to the broader community. 
+
+As toqito continued to gain usage and traction, another [UF microgrant](https://unitary.fund/grants/) to further develop
+the project was awarded to a prior contributor of UnitaryHACK 2023 ([Purva Thakre](https://github.com/purva-thakre)).
+These funds allowed dedicated time to delve into some of the more in-depth feature requests and continue to improve
+additional aspects of the project, such as thorough testing, documentation, CI/CD, and tutorials.
+
+In addition to being cited and used in peer-reviewed research papers on quantum information, toqito has also been
+recognized elsewhere. toqito was voted one of the [top quantum simulators for 2024 by
+QuantumInsider](https://thequantuminsider.com/2022/06/14/top-63-quantum-computer-simulators-for-2022/). Recently,
+[KaiCode](https://www.kaicode.org/2024.html) awarded toqito the first place prize for being the best project of 400+
+projects judged on clean code, good project structure, etc. Furthermore, as of September 2024, toqito is now an
+[affiliated project of NumFOCUS](https://numfocus.medium.com/august-september-project-updates-e3dac6f86aa8).
+
+# The future of toqito
+
+The toqito project continues to be used and contributed to by numerous researchers and software developers in the
+quantum ecosystem. For instance, another UF microgrant was recently awarded to [Aidan
+Sims](https://www.linkedin.com/in/aidan-sims) to port [cvxquad](https://github.com/hfawzi/cvxquad) functions written in
+MATLAB into toqito’s channels/ module.
+
+There are many exciting plans for [the future of toqito](https://github.com/vprusso/toqito/wiki). If you feel that
+toqito may enhance your research workflow or the toqito roadmap lacks a particular feature, don’t hesitate to contact
+the developers through the [Discord channel](https://discord.com/channels/764231928676089909/1172282184833454090). If
+you want to contribute to the project, consult the [contribution
+guide](https://toqito.readthedocs.io/en/latest/contributing.html), open a PR, or add an issue to [the
+board](https://github.com/vprusso/toqito/issues).
 
 We look forward to seeing where toqito goes from here!
\ No newline at end of file

From cd620bfdcf093ea88721bb4b6499a5a8290603ed Mon Sep 17 00:00:00 2001
From: Purva Thakre <purva.athakre@gmail.com>
Date: Thu, 10 Oct 2024 12:11:04 -0500
Subject: [PATCH 18/24] change heading sizes

---
 src/content/blog/2024_toqito.md | 14 +++++++-------
 1 file changed, 7 insertions(+), 7 deletions(-)

diff --git a/src/content/blog/2024_toqito.md b/src/content/blog/2024_toqito.md
index 239f952e..46b8d680 100644
--- a/src/content/blog/2024_toqito.md
+++ b/src/content/blog/2024_toqito.md
@@ -13,7 +13,7 @@ tags:
 
 ![](/images/toqito_logo.png)
 
-# The Origins of toqito
+## The Origins of toqito
 In early 2020, the humble [initial
 commit](https://github.com/vprusso/toqito/commit/a2f2449c4b9de81becff41cb25f1bca3fa180e8b) of the toqito project
 ([repo](https://github.com/vprusso/toqito)|[docs](https://toqito.readthedocs.io/en/latest/index.html)) made its way onto
@@ -27,7 +27,7 @@ alike.
 
 ![](/images/toqito_stars.png)
 
-# Expanding Quantum Research with toqito
+## Expanding Quantum Research with toqito
 toqito has grown significantly in the past four years. It allows users to study fundamental objects in quantum
 information: [quantum states](https://toqito.readthedocs.io/en/latest/intro_tutorial.html#states), 
 [quantum channels](https://toqito.readthedocs.io/en/latest/intro_tutorial.html#channels), and 
@@ -65,12 +65,12 @@ certain problems in quantum information. A collection of these can be seen here
 
 - [![a](https://img.shields.io/static/v1?label=arXiv&message=2206.08313&color=inactive&style=flat-square)](https://arxiv.org/abs/2206.08313) Russo, Vincent and Sikora, Jamie "Inner products of pure states and their antidistinguishability", Physical Review A, Vol. 107, No. 3, (2023).
 
-# Core Concepts: Quantum States, Channels, and Measurements
+## Core Concepts: Quantum States, Channels, and Measurements
 In quantum information science, quantum states represent the fundamental objects we manipulate, quantum channels
 describe the transformations applied to these states, and quantum measurements allow us to extract information from
 states.
 
-## Example: Defining and Analyzing a Quantum State
+### Example: Defining and Analyzing a Quantum State
 In this example, we calculate the fidelity between two quantum states—-a fundamental task in quantum state comparison.
 
 For example, in the event where we calculate the fidelity between states that are identical, we should obtain the value
@@ -90,7 +90,7 @@ of 1. This can be observed in toqito as follows.
 1.0
 ```
 
-## Quantum State Discrimination
+### Quantum State Discrimination
 A more engaging example is quantum state discrimination, a widely applicable problem in cryptography and quantum
 computing. The goal is to distinguish between different quantum states in an optimal way. This is typically formulated
 as a convex optimization problem.
@@ -117,7 +117,7 @@ Quantum distinguishability is a rich field of research and having the ability to
 determine the probability of distinguishing a set of quantum states is a useful technique for rapidly iterating on
 research in this domain.
 
-# Unitary Fund accelerates toqito
+## Unitary Fund accelerates toqito
 
 In the early days of toqito, Vincent showed some basic functionality to co-workers with a quantum information
 background. One of them suggested the Unitary Fund’s [microgrant program](https://unitary.fund/grants/). To his delight,
@@ -153,7 +153,7 @@ QuantumInsider](https://thequantuminsider.com/2022/06/14/top-63-quantum-computer
 projects judged on clean code, good project structure, etc. Furthermore, as of September 2024, toqito is now an
 [affiliated project of NumFOCUS](https://numfocus.medium.com/august-september-project-updates-e3dac6f86aa8).
 
-# The future of toqito
+## The future of toqito
 
 The toqito project continues to be used and contributed to by numerous researchers and software developers in the
 quantum ecosystem. For instance, another UF microgrant was recently awarded to [Aidan

From 2420f0bb1aefac8a170a8012c400e3ffd7889e1f Mon Sep 17 00:00:00 2001
From: Purva Thakre <purva.athakre@gmail.com>
Date: Thu, 10 Oct 2024 12:16:02 -0500
Subject: [PATCH 19/24] attempt to change star graph size

---
 src/content/blog/2024_toqito.md | 2 ++
 1 file changed, 2 insertions(+)

diff --git a/src/content/blog/2024_toqito.md b/src/content/blog/2024_toqito.md
index 46b8d680..c0478de9 100644
--- a/src/content/blog/2024_toqito.md
+++ b/src/content/blog/2024_toqito.md
@@ -25,6 +25,8 @@ toqito began as a research tool, designed by Vincent Russo to accelerate his wor
 since, it has evolved into a robust, open-source Python library providing powerful tools for researchers and enthusiasts
 alike.
 
+<img src="/images/toqito_stars.png" width="200" height="200"/>
+
 ![](/images/toqito_stars.png)
 
 ## Expanding Quantum Research with toqito

From a922593cfda27e931f3904e528844ec890119535 Mon Sep 17 00:00:00 2001
From: Purva Thakre <purva.athakre@gmail.com>
Date: Thu, 10 Oct 2024 12:17:51 -0500
Subject: [PATCH 20/24] remove previous img

---
 src/content/blog/2024_toqito.md | 4 +---
 1 file changed, 1 insertion(+), 3 deletions(-)

diff --git a/src/content/blog/2024_toqito.md b/src/content/blog/2024_toqito.md
index c0478de9..e33ff0c4 100644
--- a/src/content/blog/2024_toqito.md
+++ b/src/content/blog/2024_toqito.md
@@ -25,9 +25,7 @@ toqito began as a research tool, designed by Vincent Russo to accelerate his wor
 since, it has evolved into a robust, open-source Python library providing powerful tools for researchers and enthusiasts
 alike.
 
-<img src="/images/toqito_stars.png" width="200" height="200"/>
-
-![](/images/toqito_stars.png)
+<img src="/images/toqito_stars.png" width="500" height="500"/>
 
 ## Expanding Quantum Research with toqito
 toqito has grown significantly in the past four years. It allows users to study fundamental objects in quantum

From 361d5ea5fc691d80a47ebdec0a9e273c0efe4383 Mon Sep 17 00:00:00 2001
From: Purva Thakre <purva.athakre@gmail.com>
Date: Thu, 10 Oct 2024 12:24:52 -0500
Subject: [PATCH 21/24] try centering img

---
 src/content/blog/2024_toqito.md | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/src/content/blog/2024_toqito.md b/src/content/blog/2024_toqito.md
index e33ff0c4..d5c1cc92 100644
--- a/src/content/blog/2024_toqito.md
+++ b/src/content/blog/2024_toqito.md
@@ -25,7 +25,7 @@ toqito began as a research tool, designed by Vincent Russo to accelerate his wor
 since, it has evolved into a robust, open-source Python library providing powerful tools for researchers and enthusiasts
 alike.
 
-<img src="/images/toqito_stars.png" width="500" height="500"/>
+<p align="center"><img src="/images/toqito_stars.png" width="500" height="500"/></p>
 
 ## Expanding Quantum Research with toqito
 toqito has grown significantly in the past four years. It allows users to study fundamental objects in quantum

From b5b67a24300f04e410581c22bca70c6d224baf73 Mon Sep 17 00:00:00 2001
From: Purva Thakre <purva.athakre@gmail.com>
Date: Thu, 10 Oct 2024 12:29:19 -0500
Subject: [PATCH 22/24] undo refs table

---
 src/content/blog/2024_toqito.md | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/src/content/blog/2024_toqito.md b/src/content/blog/2024_toqito.md
index d5c1cc92..fe0d6a12 100644
--- a/src/content/blog/2024_toqito.md
+++ b/src/content/blog/2024_toqito.md
@@ -25,7 +25,7 @@ toqito began as a research tool, designed by Vincent Russo to accelerate his wor
 since, it has evolved into a robust, open-source Python library providing powerful tools for researchers and enthusiasts
 alike.
 
-<p align="center"><img src="/images/toqito_stars.png" width="500" height="500"/></p>
+<p align="center"><img src="/images/toqito_stars.png" width="600" height="600"/></p>
 
 ## Expanding Quantum Research with toqito
 toqito has grown significantly in the past four years. It allows users to study fundamental objects in quantum

From 012b139eba47393ddf5163f39be743ff62d51546 Mon Sep 17 00:00:00 2001
From: Purva Thakre <purva.athakre@gmail.com>
Date: Thu, 10 Oct 2024 12:51:31 -0500
Subject: [PATCH 23/24] remove arxiv badge + use footnotes for refs

---
 src/content/blog/2024_toqito.md | 43 +++++++++++++++++++++------------
 1 file changed, 27 insertions(+), 16 deletions(-)

diff --git a/src/content/blog/2024_toqito.md b/src/content/blog/2024_toqito.md
index fe0d6a12..80a722a1 100644
--- a/src/content/blog/2024_toqito.md
+++ b/src/content/blog/2024_toqito.md
@@ -42,28 +42,21 @@ scientific ecosystem.
 There have also been a number of academic publications that have made used of `toqito` to numerically define and analyze
 certain problems in quantum information. A collection of these can be seen here
 
-- [![a](https://img.shields.io/static/v1?label=arXiv&message=2406.13430&color=inactive&style=flat-square)](https://arxiv.org/abs/2406.13430) Bandyopadhyay, Somshubhro and Russo, Vincent
-"Distinguishing a maximally entangled basis using LOCC and shared entanglement", (2024).
+- Bandyopadhyay, Somshubhro and Russo, Vincent, _Distinguishing a maximally entangled basis using LOCC and shared entanglement_[^1]
 
-- [![a](https://img.shields.io/static/v1?label=arXiv&message=2307.2551&color=inactive&style=flat-square)](https://arxiv.org/abs/2307.02551) Tavakoli, Armin and Pozas-Kerstjens, Alejandro and Brown, Peter and Araújo, Mateus
-"Semidefinite programming relaxations for quantum correlations", (2023).
+- Tavakoli, Armin and Pozas-Kerstjens, Alejandro and Brown, Peter and Araújo, Mateus, _Semidefinite programming relaxations for quantum correlations_[^2]
 
-- [![a](https://img.shields.io/static/v1?label=arXiv&message=2311.17047&color=inactive&style=flat-square)](https://arxiv.org/abs/2311.17047) Johnston, Nathaniel and Russo, Vincent and Sikora, Jamie
-"Tight bounds for antidistinguishability and circulant sets of pure quantum states", (2023).
+- Johnston, Nathaniel and Russo, Vincent and Sikora, Jamie, _Tight bounds for antidistinguishability and circulant sets of pure quantum states_[^3]
 
-- [![a](https://img.shields.io/static/v1?label=arXiv&message=2308.15579&color=inactive&style=flat-square)](https://arxiv.org/abs/2308.15579) Pelofske, Elijah and Bartschi, Andreas and Eidenbenz, Stephan and Garcia, Bryan and Kiefer, Boris
-"Probing Quantum Telecloning on Superconducting Quantum Processors", (2023).
+- Pelofske, Elijah and Bartschi, Andreas and Eidenbenz, Stephan and Garcia, Bryan and Kiefer, Boris, _Probing Quantum Telecloning on Superconducting Quantum Processors_[^4]
  
-- [![a](https://img.shields.io/static/v1?label=arXiv&message=2303.07911&color=inactive&style=flat-square)](https://arxiv.org/abs/2303.07911) Philip, Aby and Rethinasamy, Soorya and Russo, Vincent and Wilde, Mark. 
-"Quantum Steering Algorithm for Estimating Fidelity of Separability.", Quantum 8, 1366, (2023).
+- Philip, Aby and Rethinasamy, Soorya and Russo, Vincent and Wilde, Mark, _Quantum Steering Algorithm for Estimating Fidelity of Separability_[^5]
 
-- [![a](https://img.shields.io/static/v1?label=arXiv&message=2302.09401&color=inactive&style=flat-square)](https://arxiv.org/abs/2302.09401) Miszczak, Jarosław Adam. 
-"Symbolic quantum programming for supporting applications of quantum computing technologies.", (2023).
+- Miszczak, Jarosław Adam, _Symbolic quantum programming for supporting applications of quantum computing technologies_[^6]
 
-- [![a](https://img.shields.io/static/v1?label=arXiv&message=2306.09444&color=inactive&style=flat-square)](https://arxiv.org/abs/2306.09444) Casalé, Balthazar and Di Molfetta, Giuseppe and Anthoine, Sandrine and Kadri, Hachem. 
-"Large-Scale Quantum Separability Through a Reproducible Machine Learning Lens.", (2023).
+- Casalé, Balthazar and Di Molfetta, Giuseppe and Anthoine, Sandrine and Kadri, Hachem, _Large-Scale Quantum Separability Through a Reproducible Machine Learning Lens_[^7]
 
-- [![a](https://img.shields.io/static/v1?label=arXiv&message=2206.08313&color=inactive&style=flat-square)](https://arxiv.org/abs/2206.08313) Russo, Vincent and Sikora, Jamie "Inner products of pure states and their antidistinguishability", Physical Review A, Vol. 107, No. 3, (2023).
+- Russo, Vincent and Sikora, Jamie, _Inner products of pure states and their antidistinguishability_[^8]
 
 ## Core Concepts: Quantum States, Channels, and Measurements
 In quantum information science, quantum states represent the fundamental objects we manipulate, quantum channels
@@ -167,4 +160,22 @@ you want to contribute to the project, consult the [contribution
 guide](https://toqito.readthedocs.io/en/latest/contributing.html), open a PR, or add an issue to [the
 board](https://github.com/vprusso/toqito/issues).
 
-We look forward to seeing where toqito goes from here!
\ No newline at end of file
+We look forward to seeing where toqito goes from here!
+
+------------------------------------------------------
+
+[^1]: Bandyopadhyay, Somshubhro and Russo, Vincent, _Distinguishing a maximally entangled basis using LOCC and shared entanglement_(2024) [arXiv:2406.13430](https://arxiv.org/abs/2406.13430).  
+
+[^2]: Tavakoli, Armin and Pozas-Kerstjens, Alejandro and Brown, Peter and Araújo, Mateus. _Semidefinite programming relaxations for quantum correlations_(2023) [arXiv:2307.02551](https://arxiv.org/abs/2307.02551).
+
+[^3]: Johnston, Nathaniel and Russo, Vincent and Sikora, Jamie, _Tight bounds for antidistinguishability and circulant sets of pure quantum states_(2023) [arXiv:2311.17047]((https://arxiv.org/abs/2311.17047))
+
+[^4]: Pelofske, Elijah and Bartschi, Andreas and Eidenbenz, Stephan and Garcia, Bryan and Kiefer, Boris, _Probing Quantum Telecloning on Superconducting Quantum Processors_(2023) [arXiv:2308.15579](https://arxiv.org/abs/2308.15579)
+
+[^5]: Philip, Aby and Rethinasamy, Soorya and Russo, Vincent and Wilde, Mark, _Quantum Steering Algorithm for Estimating Fidelity of Separability_(2023) [arXiv:2303.07911](https://arxiv.org/abs/2303.07911)
+
+[^6]: Miszczak, Jarosław Adam, _Symbolic quantum programming for supporting applications of quantum computing technologies_(2023) [arXiv:2302.09401](https://arxiv.org/abs/2302.09401)
+
+[^7]:  Casalé, Balthazar and Di Molfetta, Giuseppe and Anthoine, Sandrine and Kadri, Hachem, _Large-Scale Quantum Separability Through a Reproducible Machine Learning Lens_(2023) [arXiv:2306.09444](https://arxiv.org/abs/2306.09444)
+
+[^8]: Russo, Vincent and Sikora, Jamie, _Inner products of pure states and their antidistinguishability_(2023) [arXiv:2206.08313](https://arxiv.org/abs/2206.08313)

From d6a4845dd0fb30e8e7ab983ac2ab305d7186762e Mon Sep 17 00:00:00 2001
From: Purva Thakre <purva.athakre@gmail.com>
Date: Thu, 10 Oct 2024 12:53:27 -0500
Subject: [PATCH 24/24] space

---
 src/content/blog/2024_toqito.md | 16 ++++++++--------
 1 file changed, 8 insertions(+), 8 deletions(-)

diff --git a/src/content/blog/2024_toqito.md b/src/content/blog/2024_toqito.md
index 80a722a1..82686139 100644
--- a/src/content/blog/2024_toqito.md
+++ b/src/content/blog/2024_toqito.md
@@ -164,18 +164,18 @@ We look forward to seeing where toqito goes from here!
 
 ------------------------------------------------------
 
-[^1]: Bandyopadhyay, Somshubhro and Russo, Vincent, _Distinguishing a maximally entangled basis using LOCC and shared entanglement_(2024) [arXiv:2406.13430](https://arxiv.org/abs/2406.13430).  
+[^1]: Bandyopadhyay, Somshubhro and Russo, Vincent, _Distinguishing a maximally entangled basis using LOCC and shared entanglement_ (2024) [arXiv:2406.13430](https://arxiv.org/abs/2406.13430).  
 
-[^2]: Tavakoli, Armin and Pozas-Kerstjens, Alejandro and Brown, Peter and Araújo, Mateus. _Semidefinite programming relaxations for quantum correlations_(2023) [arXiv:2307.02551](https://arxiv.org/abs/2307.02551).
+[^2]: Tavakoli, Armin and Pozas-Kerstjens, Alejandro and Brown, Peter and Araújo, Mateus. _Semidefinite programming relaxations for quantum correlations_ (2023) [arXiv:2307.02551](https://arxiv.org/abs/2307.02551).
 
-[^3]: Johnston, Nathaniel and Russo, Vincent and Sikora, Jamie, _Tight bounds for antidistinguishability and circulant sets of pure quantum states_(2023) [arXiv:2311.17047]((https://arxiv.org/abs/2311.17047))
+[^3]: Johnston, Nathaniel and Russo, Vincent and Sikora, Jamie, _Tight bounds for antidistinguishability and circulant sets of pure quantum states_ (2023) [arXiv:2311.17047]((https://arxiv.org/abs/2311.17047))
 
-[^4]: Pelofske, Elijah and Bartschi, Andreas and Eidenbenz, Stephan and Garcia, Bryan and Kiefer, Boris, _Probing Quantum Telecloning on Superconducting Quantum Processors_(2023) [arXiv:2308.15579](https://arxiv.org/abs/2308.15579)
+[^4]: Pelofske, Elijah and Bartschi, Andreas and Eidenbenz, Stephan and Garcia, Bryan and Kiefer, Boris, _Probing Quantum Telecloning on Superconducting Quantum Processors_ (2023) [arXiv:2308.15579](https://arxiv.org/abs/2308.15579)
 
-[^5]: Philip, Aby and Rethinasamy, Soorya and Russo, Vincent and Wilde, Mark, _Quantum Steering Algorithm for Estimating Fidelity of Separability_(2023) [arXiv:2303.07911](https://arxiv.org/abs/2303.07911)
+[^5]: Philip, Aby and Rethinasamy, Soorya and Russo, Vincent and Wilde, Mark, _Quantum Steering Algorithm for Estimating Fidelity of Separability_ (2023) [arXiv:2303.07911](https://arxiv.org/abs/2303.07911)
 
-[^6]: Miszczak, Jarosław Adam, _Symbolic quantum programming for supporting applications of quantum computing technologies_(2023) [arXiv:2302.09401](https://arxiv.org/abs/2302.09401)
+[^6]: Miszczak, Jarosław Adam, _Symbolic quantum programming for supporting applications of quantum computing technologies_   (2023) [arXiv:2302.09401](https://arxiv.org/abs/2302.09401)
 
-[^7]:  Casalé, Balthazar and Di Molfetta, Giuseppe and Anthoine, Sandrine and Kadri, Hachem, _Large-Scale Quantum Separability Through a Reproducible Machine Learning Lens_(2023) [arXiv:2306.09444](https://arxiv.org/abs/2306.09444)
+[^7]:  Casalé, Balthazar and Di Molfetta, Giuseppe and Anthoine, Sandrine and Kadri, Hachem, _Large-Scale Quantum Separability Through a Reproducible Machine Learning Lens_ (2023) [arXiv:2306.09444](https://arxiv.org/abs/2306.09444)
 
-[^8]: Russo, Vincent and Sikora, Jamie, _Inner products of pure states and their antidistinguishability_(2023) [arXiv:2206.08313](https://arxiv.org/abs/2206.08313)
+[^8]: Russo, Vincent and Sikora, Jamie, _Inner products of pure states and their antidistinguishability_ (2023) [arXiv:2206.08313](https://arxiv.org/abs/2206.08313)