8 papers
Algebraic structure of Tiger codes
Clément Poirson, Anthony Leverrier, Christophe Vuillot
Tiger codes form a family of multimode bosonic quantum codes that unify several previously known constructions, including cat, paircat, and the two-mode binomial code. In this work…
Approximating optimal decoding of quantum LDPC codes with narrow frontiers
Anthony Leverrier, Rüdiger Urbanke
We introduce the Frontier decoder, a pruned dynamic-programming decoder for sparse quantum decoding problems. Frontier processes error variables in a chosen order, merges prefixes…
Bosonic quantum Fourier codes
Anthony Leverrier
While 2-level systems, aka qubits, are a natural choice to perform a logical quantum computation, the situation is less clear at the physical level. Encoding information in higher-…
Quantum Maxwell Erasure Decoder for qLDPC codes
Bruno Costa Alves Freire, François-Marie Le Régent, Anthony Leverrier
We introduce a quantum Maxwell erasure decoder for CSS quantum low-density parity-check (qLDPC) codes that extends peeling with bounded guessing. Guesses are tracked symbolically a…
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…
High-performance local decoders for defect matching in 1D
Louis Paletta, Anthony Leverrier, Mazyar Mirrahimi +1
Local decoders, also known as cellular-automaton decoders, offer a promising path toward real-time quantum error correction by replacing centralized classical decoding, with inhere…