Stabilizer Inactivation for Message-Passing Decoding of Quantum LDPC Codes

Julien Du Crest, Mehdi Mhalla, Valentin Savin

20222022 IEEE Information Theory Workshop (ITW)29 citationsDOI Open Access PDF

Abstract

We propose a post-processing method for message-passing (MP) decoding of CSS quantum LDPC codes, called stabilizer-inactivation (SI). It relies on inactivating a set of qubits, supporting a check in the dual code, and then running the MP decoding again. This allows MP decoding to converge outside the inactivated set of qubits, while the error on these is determined by solving a small, constant size, linear system. Compared to the state of the art post-processing method based on ordered statistics decoding (OSD), we show through numerical simulations that MP-SI outperforms MP-OSD for different quantum LDPC code constructions, different MP decoding algorithms, and different MP scheduling strategies, while having a significantly reduced complexity.

Topics & Concepts

Decoding methodsLow-density parity-check codeComputer scienceQubitList decodingMessage passingAlgorithmSet (abstract data type)Code (set theory)QuantumTheoretical computer scienceParallel computingConcatenated error correction codeBlock codePhysicsQuantum mechanicsProgramming languageError Correcting Code TechniquesQuantum Computing Algorithms and ArchitectureAdvanced Wireless Communication Techniques