6 papers · 1 filter
High-Rate Quasi-Dyadic Quantum LDPC Codes
Alessio Baldelli, Sisi Miao, Laurent Schmalen +2
In this work, we propose a novel design of high-rate Calderbank--Shor--Steane (CSS) quantum low-density parity-check (QLDPC) codes based on quasi-dyadic matrices. The Tanner graphs…
Quantum XYZ Stabilizer Codes
Alessio Baldelli, Davide Orsucci, Francisco Lázaro +1
Stabilizer codes are often constructed within the Calderbank--Shor--Steane (CSS) framework, where two mutually orthogonal binary classical codes define and -type stabilizer…
Design and Analysis of Quantum Dual-Containing CSS LDPC Codes based on Quasi-Dyadic Matrices
Alessio Baldelli, Marco Baldi, Massimo Battaglioni +2
Quantum error correcting codes are essential to achieve fault-tolerant quantum computation. This work introduces two constructions of high-rate, dual-containing (DC) Calderbank--Sh…
Near-Codewords Aware Bit Flipping Decoding of QC-MDPC Codes
Alessio Baldelli, Marco Baldi, Davide De Zuane +1
Bit-Flipping (BF) decoders are a family of decoders widely employed in post-quantum cryptographic schemes based on Quasi-Cyclic Moderate-Density Parity-Check (QC-MDPC) codes, such…
Quantum CSS LDPC Codes based on Dyadic Matrices for Belief Propagation-based Decoding
Alessio Baldelli, Massimo Battaglioni, Jonathan Mandelbaum +2
Quantum low-density parity-check (QLDPC) codes provide a practical balance between error-correction capability and implementation complexity in quantum error correction (QEC). In t…
BF-Max: an Efficient Bit Flipping Decoder with Predictable Decoding Failure Rate
Alessio Baldelli, Marco Baldi, Franco Chiaraluce +1
The Bit-Flipping (BF) decoder, thanks to its very low computational complexity, is widely employed in post-quantum cryptographic schemes based on Moderate Density Parity Check code…