3 papers
quant-ph2025
Small quantum Tanner codes from left--right Cayley complexes
Anthony Leverrier, Wouter Rozendaal, Gilles Zémor
Quantum Tanner codes are a class of quantum low-density parity-check codes that provably display a linear minimum distance and a constant encoding rate in the asymptotic limit. Whe…
quant-ph2025
A Variant of the Bravyi-Terhal Bound for Arbitrary Boundary Conditions
François Arnault, Philippe Gaborit, Wouter Rozendaal +2
We present a modified version of the Bravyi-Terhal bound that applies to quantum codes defined by local parity-check constraints on a -dimensional lattice quotient. Specifically…
cs.IT2025
Upper Bounds on the Minimum Distance of Structured LDPC Codes
François Arnault, Philippe Gaborit, Wouter Rozendaal +2
We investigate the minimum distance of structured binary Low-Density Parity-Check (LDPC) codes whose parity-check matrices are of the form where $\m…