Reproduce “Edge-Based Anisotropic Decoding for Generalized Bicycle Codes” on OpenResearch
Turn your favorite coding agents into research agents that review literature, develop hypotheses, and run experiments.
Universal app for Apple silicon and Intel. Requires macOS 11 or later.
About this paper
Dimitris Chytas, Paul N. Fessatidis, Boulat A. Bash, Bane Vasić
Researchers at the University of Arizona developed a graph-theoretic framework that characterizes quantum degeneracy in Generalized Bicycle codes as graph automorphisms, proposing edge-based anisotropic decoding to break these symmetries. This approach achieved superior logical error rates compared to isotropic and block-anisotropic methods, particularly within low iteration budgets, for several representative codes.
Key insights
- Quantum degeneracy in iterative decoding can be fundamentally understood as the inability of symmetric decoders to distinguish between error patterns related by graph automorphisms.
- Edge-coloring, by assigning unique labels to monomial-induced edge classes in GB codes, can theoretically eliminate all non-trivial symmetries causing degeneracy in low-weight stabilizer subgraphs.
- Anisotropic message passing, which breaks the equivariance of iterative decoders, allows for more effective resolution of degenerate error patterns by differentiating message updates based on structural properties.
Summary by alphaXiv.
Tip: change arxiv.org to autoarxiv.org in any arXiv abstract link to open the paper here.