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phfaist committed Oct 12, 2023
1 parent 1147761 commit 8cbed81
Showing 1 changed file with 9 additions and 4 deletions.
13 changes: 9 additions & 4 deletions codes/quantum/qudits_galois/qldpc/generalized_bicycle.yml
Original file line number Diff line number Diff line change
Expand Up @@ -84,11 +84,16 @@ relations:
- code_id: sc_qldpc
detail: 'Qubit GB stabilizer generator matrices can be used as sub-matrices to define a 1D SC-QLDPC code \cite{arxiv:2305.00137}.'
- code_id: qldpc
detail: 'A code GB\((a,b)\) is given by the sum of weights of polynomials \(a(x)\) and \(b(x)\).
The GB code ansatz is convenient for designing quantum LDPC codes.'
detail: |
A code GB\((a,b)\) is given by the sum of weights of polynomials
\(a(x)\) and \(b(x)\). The GB code ansatz is convenient for designing
quantum LDPC codes.
- code_id: single_shot
detail: 'In some GB error-correcting schemes, localized syndrome measurement errors only give rise to localized errors in the correction stage.
Then, a single round of measurements is enough, and fault-tolerant error correction is quantum-local \cite{arxiv:1404.5504}.'
detail: |
In some GB error-correcting schemes, localized syndrome measurement
errors only give rise to localized errors in the correction stage.
Then, a single round of measurements is enough, and fault-tolerant
error correction is quantum-local \cite{arxiv:1404.5504}.
- code_id: quantum_cyclic
detail: 'Given a canonical generating polynomial \(g(x)\) of a cyclic quantum code \([[n,k,d]]\), its generator matrix is a cyclic matrix \(G=g(P)\). Here \(P\) is the permutation matrix of one-step length-\(n\) cyclic shift.'
- code_id: hypergraph_product
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