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valbert4 committed Jul 14, 2024
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parents:
- code_id: generalized_shor
- code_id: amdamp
- code_id: ampdamp
detail: 'An \([[8,1,2]]\) QPC correcting a single amplitude damping error is equivalent to a concatenation of the \(\{|\overline{01}\rangle,|\overline{11}\rangle\}\) (constant-excitation) subcode of the \([[4,2,2]]\) code with the dual-rail code \cite{arxiv:quant-ph/0103042,arxiv:quant-ph/0501184,arxiv:2010.00538}. More generally, an \([[m^2,1,m]]\) QPC corrects \(m-1\) amplitude damping errors \cite{arxiv:1001.2356}.'
- code_id: group_quantum_parity
detail: 'A \([[m_1 m_2,1,\min(m_1,m_2)]]_G\) group-based QPC reduces to a QPC for \(G=\mathbb{Z}_2\).'
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