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valbert4 committed Dec 6, 2024
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3 changes: 3 additions & 0 deletions codes/quantum/oscillators/fock_state/chi2.yml
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Expand Up @@ -28,6 +28,9 @@ features:
relations:
parents:
- code_id: fock_state
cousins:
- code_id: tiger
detail: 'Certain chi-squared codes are supported on the same Fock states as particular tiger codes \cite{arxiv:2411.09668}.'


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Expand Up @@ -33,6 +33,8 @@ relations:
parents:
- code_id: chuang-leung-yamamoto
cousins:
- code_id: tiger
detail: 'The two-mode binomial code for \(S=0\) is a tiger code with \(G = (2,-2)\) and \(H = (1,1)\) \cite{arxiv:2411.09668}. It can be generalized \cite{arxiv:2411.09668} to an \(n\)-mode code encoding a qu\(n\)it in generalized \(SU(n)\) coherent states \cite{doi:10.1088/0305-4470/26/2/018}.'
- code_id: binomial
- code_id: chi2
detail: 'Two-mode binomial codes \cite[Eqs. (90-91)]{arxiv:1709.05302} are closely related to three-mode \(\chi^2\) binomial codes \cite[Eqs. (61-62)]{arxiv:1709.05302}.'
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1 change: 1 addition & 0 deletions codes/quantum/oscillators/fock_state/paircat.yml
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Expand Up @@ -35,6 +35,7 @@ realizations:
relations:
parents:
- code_id: fock_state
detail: 'The pair-cat code is a tiger code with \(G = (2,2)\) and \(H = (1,-1)\) \cite{arxiv:2411.09668}.'
cousins:
- code_id: cat
detail: 'Cat (pair-cat) codewords are superpositions of coherent (pair-coherent) states. Many cat-code protocols have analogues for the two-mode pair-cat codes.'
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3 changes: 3 additions & 0 deletions codes/quantum/oscillators/tiger/coherent_state_repetition.yml
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\end{align}
for any complex \(\alpha\).
protection: |
The code cannot protect against losses and has a minimum Euclidean distance \(d_Z = 4n\) \cite{arxiv:2411.09668}.
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2 changes: 1 addition & 1 deletion codes/quantum/oscillators/tiger/tiger.yml
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protection: |
Tiger codes protect against losses and gains of occupation numbers along with rotation noise stemming from modal dephasing.
Protection against the latter type of noise is characterized by the minimum Euclidean distance between coherent states in different (continuous) logical constellations.
Protection against the latter type of noise is characterized by the minimum Euclidean distance \(d_Z\) between coherent states in different (continuous) logical constellations \cite{arxiv:2411.09668}.
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- code_id: 2d_stabilizer



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