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ampdamp_cws
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valbert4 committed Jul 14, 2024
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cousins:
- code_id: quantum_concatenated
detail: 'The KLM protocol, one of the first protocols for fault-tolerant quantum computation, utilizes concatenations of the dual-rail with a stabilizer code \cite{doi:10.1038/35051009}.
Concatenating the dual-rail code with an \([[n,k,d]]\) stabilizer code yields an \([[2n,k,d]]\) constant-excitation code \cite{arxiv:2010.00538}.'
Concatenating the dual-rail code with an \([[n,k,d]]\) stabilizer code yields an \([[2n,k,d]]\) constant-excitation code \cite{arxiv:2010.00538} that protects against \(d-1\) amplitude damping errors \cite{arxiv:1001.2356}.'
- code_id: quantum_parity
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}.'
- code_id: stab_4_2_2
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parents:
- code_id: qubits_into_qubits
cousins:
- code_id: linear_binary
- code_id: binary_linear
detail: 'A linear binary code is called \textit{self-complementary} if, for each codeword \(c\), its negation \(\overline{c}\) is also a codeword.'


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#######################################################
## This is a code entry in the error correction zoo. ##
## https://github.com/errorcorrectionzoo ##
#######################################################

code_id: ampdamp_cws
physical: qubits
logical: qubits

name: 'Amplitude-damping CWS code'
introduced: '\cite{arxiv:0710.1052,arxiv:0907.5149,arxiv:1310.7536}'

description: |
Self-complementary CWS code that is designed to detect and correct amplitude damping errors.
relations:
parents:
- code_id: cws
- code_id: self_complementary
cousins:
- code_id: constantin_rao
detail: 'Amplitude-damping CWS codes can be obtained from CR codes \cite{arxiv:0907.5149}.'


# Begin Entry Meta Information
_meta:
# Change log - most recent first
changelog:
- user_id: VictorVAlbert
date: '2024-07-14'

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