From 8cbed81db4f258d2d96264eac9727ab985267e87 Mon Sep 17 00:00:00 2001 From: Philippe Faist Date: Thu, 12 Oct 2023 23:33:37 +0200 Subject: [PATCH] fix --- .../qudits_galois/qldpc/generalized_bicycle.yml | 13 +++++++++---- 1 file changed, 9 insertions(+), 4 deletions(-) diff --git a/codes/quantum/qudits_galois/qldpc/generalized_bicycle.yml b/codes/quantum/qudits_galois/qldpc/generalized_bicycle.yml index a44e86bb1..d9cfe8a33 100644 --- a/codes/quantum/qudits_galois/qldpc/generalized_bicycle.yml +++ b/codes/quantum/qudits_galois/qldpc/generalized_bicycle.yml @@ -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