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valbert4 committed Sep 11, 2024
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detail: 'MN-LDPC codes re-invigorated the study of LDPC codes about 30 years after their discovery.'
- code_id: multi_edge_ldpc
detail: 'MN-LDPC codes can be formulated as multi-edge LDPC codes \cite{arxiv:1102.4612}.'
- code_id: random
cousins:
- code_id: ldgm
detail: '\((l,r,1\))-MN-LDPC codes are LDGM \cite{arxiv:1102.4612}.'
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2 changes: 1 addition & 1 deletion codes/quantum/properties/stabilizer/qldpc/qldpc.yml
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code_id: qldpc
# includes both Galois and modular

name: 'Quantum low-density parity-check (QLDPC) code'
name: 'Quantum LDPC (QLDPC) code'
short_name: 'QLDPC'

alternative_names:
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Expand Up @@ -7,7 +7,7 @@ code_id: ea_qc_qldpc
physical: qubits
logical: qubits

name: 'EA quasi-cyclic QLDPC code'
name: 'EA QC-QLDPC code'
introduced: '\cite{arxiv:0906.5532}'

description: |
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2 changes: 1 addition & 1 deletion codes/quantum/qubits/stabilizer/qubit_stabilizer.yml
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Expand Up @@ -183,7 +183,7 @@ relations:
detail: 'A stabilizer code with stabilizer group \(\mathsf{S}\) can be thought of as a USt with only the identity coset representative.
Conversely, if the set of coset representatives of a USt form a linear binary code, then they can be absorbed into a stabilizer group that defines the USt.'
- code_id: xp_stabilizer
detail: 'The XP stabilizer formalism reduces to the Pauli formalism at \(N=2\).'
detail: 'XP stabilizer codes reduce to qubit stabilizer codes for \(N=2\).'
- code_id: qubit_stabilizer_oaqecc
detail: 'An OA qubit stabilizer code storing no classical information and admitting no gauge qubits is a qubit stabilizer code.'
- code_id: qudit_stabilizer
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2 changes: 1 addition & 1 deletion codes/quantum/spins/single_spin/spin_cat.yml
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Expand Up @@ -32,7 +32,7 @@ relations:
- code_id: single_spin
cousins:
- code_id: two-legged-cat
detail: 'The Spin-cat code construction utilizes the Holstein-Primakoff mapping \cite{doi:10.1103/PhysRev.58.1098} (see also \cite{doi:10.2307/3212170}) to convert cat codes into codes for spin systems.'
detail: 'The spin-cat code construction utilizes the Holstein-Primakoff mapping \cite{doi:10.1103/PhysRev.58.1098} (see also \cite{doi:10.2307/3212170}) to convert cat codes into codes for spin systems.'
- code_id: spins_into_spins
detail: 'An extended version of the spin cat code, the dark spin-cat code, encodes in two spins, both thought of as hyperfine manifolds \cite{arxiv:2408.04421}.'

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