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valbert4 committed Nov 21, 2024
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2 changes: 1 addition & 1 deletion codes/quantum/oscillators/fock_state/numopt.yml
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Expand Up @@ -13,7 +13,7 @@ introduced: '\cite{arxiv:1602.00008,arxiv:1708.05010}'
description: |
Bosonic Fock-state code obtained from a numerical minimization procedure, e.g., from enforcing error-correction criteria against some number of losses while minimizing average occupation number. Useful single-mode codes can be determined using basic numerical optimization \cite{arxiv:1602.00008,arxiv:1708.05010}, semidefinite-program recovery/encoding optimization \cite{arxiv:1801.07271,arxiv:2205.00341}, or reinforcement learning \cite{arxiv:2108.02766,arxiv:2212.11651}.
The smallest numerically optimized code protecting against a single loss error is the \(\sqrt(17)\) code \cite{arxiv:1602.00008},
The smallest numerically optimized Fock-state code protecting against a single loss error is the \(\sqrt(17)\) code \cite{arxiv:1602.00008},
\begin{align}
\begin{split}
|\overline{0}\rangle&=\frac{1}{\sqrt{6}}\left(\sqrt{7-\sqrt{17}}|0\rangle+\sqrt{\sqrt{17}-1}|3\rangle\right)\\
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Expand Up @@ -31,6 +31,7 @@ relations:
parents:
- code_id: qubits_into_qubits
- code_id: ampdamp
- code_id: numopt
- code_id: small_distance_quantum
cousins:
- code_id: stab_4_2_2
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