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chamon, HH
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valbert4 committed Feb 8, 2024
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29 changes: 29 additions & 0 deletions codes/quantum/qubits/stabilizer/fracton/chamon.yml
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#######################################################
## This is a code entry in the error correction zoo. ##
## https://github.com/errorcorrectionzoo ##
#######################################################

code_id: chamon
physical: qubits
logical: qubits

name: 'Chamon model code'
introduced: '\cite{arXiv:cond-mat/0404182,arXiv:1006.4871}'

description: |
A foliated type-I fracton non-CSS code defined on a cubic lattice using one weight-eight stabilizer generator acting on the eight vertices of each cube in the lattice \cite[Eq. (D38)]{arxiv:1908.08049}.
Variants include a CSS model that is expected to have the same excitation structure \cite{arXiv:1603.04442}.
relations:
parents:
- code_id: qubit_stabilizer
- code_id: fracton
detail: 'The Chamon model is a foliated type-I fracton code and is the first example of a fracton phase \cite{arxiv:1908.08049}.'


_meta:
changelog:
- user_id: VictorVAlbert
date: '2024-02-08'
3 changes: 2 additions & 1 deletion codes/quantum/qubits/stabilizer/fracton/checkerboard.yml
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introduced: '\cite{arXiv:1505.02576}'

description: |
A foliated type-I fracton code defined on a cubic lattice that admits weight-eight \(X\)- and \(Z\)-type stabilizer generators on cubes of the lattice.
A foliated type-I fracton code defined on a cubic lattice that admits weight-eight \(X\)- and \(Z\)-type stabilizer generators on the eight vertices of each cube in the lattice.
Variants include the twisted checkerboard model \cite{arxiv:1805.06899}.
features:
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30 changes: 30 additions & 0 deletions codes/quantum/qubits/stabilizer/fracton/hh_fracton.yml
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#######################################################
## This is a code entry in the error correction zoo. ##
## https://github.com/errorcorrectionzoo ##
#######################################################

code_id: hh_fracton
physical: qubits
logical: qubits

name: 'Hsieh-Halasz (HH) code'
short_name: 'HH'
introduced: '\cite{arXiv:1703.02973}'

description: |
Member of one of two families of fracton codes, named HH-I and HH-II, defined on a cubic lattice with two qubits per site.
HH-I (HH-II) is a CSS (non-CSS) stabilizer code family, with the former identified as a foliated type-I fracton code \cite{arxiv:1908.08049}.
relations:
parents:
- code_id: qubit_stabilizer
- code_id: fracton
detail: 'Both HH-I and HH-II are fracton codes, with HH-I identified as a foliated type-I fracton code \cite{arxiv:1908.08049}.'


_meta:
changelog:
- user_id: VictorVAlbert
date: '2024-02-08'

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