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valbert4 committed Nov 2, 2024
1 parent 73a6774 commit 77776c5
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Expand Up @@ -33,6 +33,7 @@ features:
- 'Gaussian operations and homodyne measurements on GKP states are classically simulable, and there is a sufficient condition for an additional element to achieve universal quantum computation \cite{arxiv:2309.07820}.'
- 'There is a relation between magic (i.e., how far away a state is from being a stabilizer state) and non-Gaussianity for GKP codewords \cite{arxiv:2109.13018,arxiv:2406.06418}. In particular, implementing a non-Clifford logical gate requires a higher degree of non-Gaussianity than that expressed by ideal non-normalizable GKP states \cite{arxiv:2406.06418}.'
- 'By applying GKP error correction to Gaussian input states, computational universality can be achieved without additional non-Gaussian elements \cite{arxiv:1903.00012}. This procedure can be alternatively desscribed as performing heterodyne detection on one half of a GKP encoded Bell pair.'
- 'Logical shadow tomography protocol \cite{arxiv:2411.00235}.'

fault_tolerance:
- 'Logical Clifford operations are given by Gaussian unitaries, which map bounded-size errors to bounded-size errors \cite{arxiv:quant-ph/0008040}.
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3 changes: 3 additions & 0 deletions codes/quantum/qubits/holographic/syk.yml
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Expand Up @@ -16,6 +16,9 @@ description: |
features:
rate: 'SYK codes can have a constant rate and distance scaling as \(n^c\) for some power \(c\) \cite{arxiv:2310.07770}.'

threshold:
- 'The coherent information of noise channels that either break or conserve fermion parity has been calculated for the SYK thermofield double state \cite{arxiv:2410.24225}.'

relations:
parents:
- code_id: fermions
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