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twist defect 713, color 822
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valbert4 committed Mar 11, 2024
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1 change: 1 addition & 0 deletions codes/quantum/qubits/small_distance/hypercube_quantum.yml
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Expand Up @@ -12,6 +12,7 @@ introduced: '\cite{arxiv:1503.02065,manual:{E. Campbell, “The smallest interes

alternative_names:
- 'Hyperoctahedron code'
- 'Hyperoctahedron color code'
# \cite{arxiv:2112.01446}

description: |
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3 changes: 2 additions & 1 deletion codes/quantum/qubits/small_distance/small/stab_15_7_3.yml
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Expand Up @@ -9,7 +9,8 @@ logical: qubits

name: '\([[15, 7, 3]]\) quantum Hamming code'
short_name: '\([[15, 7, 3]]\)'
introduced: '\cite{arxiv:quant-ph/9605021,manual:{Jim Harrington and Ben W. Reichardt, “Addressable multi-qubit logic via permutations,” Talk at Southwest Quantum Information and Technology (SQuInT) (2011).}}'
introduced: '\cite{arxiv:quant-ph/9512032,arxiv:quant-ph/9605021,manual:{Jim Harrington and Ben W. Reichardt, “Addressable multi-qubit logic via permutations,” Talk at Southwest Quantum Information and Technology (SQuInT) (2011).}}'
# First ref in https://arxiv.org/pdf/1912.10063.pdf

description: 'Self-dual quantum Hamming code that admits permutation-based CZ logical gates.'

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31 changes: 31 additions & 0 deletions codes/quantum/qubits/small_distance/small/stab_8_2_2.yml
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#######################################################
## This is a code entry in the error correction zoo. ##
## https://github.com/errorcorrectionzoo ##
#######################################################

code_id: stab_8_2_2
physical: qubits
logical: qubits

name: '\([[8,2,2]]\) color code'
introduced: '\cite{arxiv:1612.04795}'

description: |
An \([[8,2,2]]\) color code defined on the projective plane.
features:
transversal_gates: 'Applying transversal \(S\) and \(S^{\dagger}\), \(\sqrt{X}\), and Hadamard gates yields various logical gates \cite{arxiv:1912.10063}.'

relations:
parents:
- code_id: color
- code_id: small_distance_quantum
cousins:
- code_id: 'The Shor code (\([[8,2,2]]\) color code) is a surface (color) code defined on the projective plane.'


# Begin Entry Meta Information
_meta:
changelog:
- user_id: VictorVAlbert
date: '2024-02-13'
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#######################################################
## This is a code entry in the error correction zoo. ##
## https://github.com/errorcorrectionzoo ##
#######################################################

code_id: twist_defect_7_1_3
physical: qubits
logical: qubits

name: '\([[7,1,3]]\) twist-defect surface code'
introduced: '\cite{arxiv:1612.04795}'

description: |
A \([[7,1,3]]\) code different from the Steane code that is a small example of a twist-defect surface code.
features:
transversal_gates: 'Single-qubit octahedral Clifford gates \cite{arxiv:1612.04795,arxiv:1912.10063}.'

relations:
parents:
- code_id: twist_defect_surface
- code_id: small_distance_quantum


# Begin Entry Meta Information
_meta:
changelog:
- user_id: VictorVAlbert
date: '2024-02-13'
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Expand Up @@ -11,6 +11,9 @@ name: 'Twist-defect surface code'
introduced: |
\cite{arxiv:1004.1838,arxiv:1612.04795,arxiv:1806.02820,arxiv:2101.09349}
alternative_names:
- 'Surface code with a twist'

description: |
A non-CSS extension of the 2D surface-code construction whose non-CSS stabilizer generators are associated with twist defects of the associated lattice.
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