Bias-tailored quantum LDPC codes

作     者：Roffe, Joschka Cohen, Lawrence Z. Quintavalle, Armanda O. Chandra, Daryus Campbell, Earl T. 

作者机构：Dahlem Center for Complex Quantum Systems Freie Universität Berlin Berlin14195 Germany Department of Physics and Astronomy University of Sheffield SheffieldS3 7RH United Kingdom Centre for Engineered Quantum Systems School of Physics University of Sydney SydneyNSW2006 Australia Riverlane CambridgeCB2 3BZ United Kingdom School of Electronics and Computer Science University of Southampton SouthamptonSO17 1BJ United Kingdom AWS Center for Quantum Computing CambridgeCB1 2GA United Kingdom 

出 版 物：《arXiv》 (arXiv)

年 卷 期：2022年

核心收录：

主　　题：Belief propagation 

摘      要：Bias-tailoring allows quantum error correction codes to exploit qubit noise asymmetry. Recently, it was shown that a modified form of the surface code, the XZZX code, exhibits considerably improved performance under biased noise. In this work, we demonstrate that quantum low density parity check codes can be similarly bias-tailored. We introduce a bias-tailored lifted product code construction that provides the framework to expand bias-tailoring methods beyond the family of 2D topological codes. We present examples of bias-tailored lifted product codes based on classical quasi-cyclic codes and numerically assess their performance using a belief propagation plus ordered statistics decoder. Our Monte Carlo simulations, performed under asymmetric noise, show that bias-tailored codes achieve several orders of magnitude improvement in their error suppression relative to depolarising noise. © 2022, CC BY.