4 papers
(2,2)-GB Codes: Classification and Comparison with weight-4 Surface Codes
François Arnault, Philippe Gaborit, Nicolas Saussay
Generalized Bicycle (GB) codes offer a compelling alternative to surface codes for quantum error correction. This paper focuses on (2,2)-Generalized Bicycle codes, constructed from…
On the Generalization of Kitaev Codes as Generalized Bicycle Codes
François Arnault, Philippe Gaborit, Nicolas Saussay
Surface codes have historically been the dominant choice for quantum error correction due to their superior error threshold performance. However, recently, a new class of Generaliz…
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…
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…