TY - GEN
T1 - On Belief Propagation Decoding of Quantum Codes with Quaternary Reliability Statistics
AU - Kung, Ching Feng
AU - Kuo, Kao Yueh
AU - Lai, Ching Yi
N1 - Publisher Copyright:
© 2023 IEEE.
PY - 2023
Y1 - 2023
N2 - In this paper, we investigate the use of quaternary reliability statistics for ordered statistics decoding (OSD) of quantum codes. OSD can be used to improve the performance of belief propagation (BP) decoding when it fails to correct the error syndrome. We propose an approach that leverages quaternary reliability information and the hard-decision history output by BP to perform reliability sorting for OSD. This approach improves upon previous methods that separately treat X and Z errors, by preserving the X/Z correlations during the sorting step. Our simulations show that the refined BP with scalar messages and the proposed OSD outperforms previous BP-OSD combinations. We achieve thresholds of roughly 17.5%-17.7% for toric, surface, and XZZX codes, and 15.42% for hexagonal planar color codes.
AB - In this paper, we investigate the use of quaternary reliability statistics for ordered statistics decoding (OSD) of quantum codes. OSD can be used to improve the performance of belief propagation (BP) decoding when it fails to correct the error syndrome. We propose an approach that leverages quaternary reliability information and the hard-decision history output by BP to perform reliability sorting for OSD. This approach improves upon previous methods that separately treat X and Z errors, by preserving the X/Z correlations during the sorting step. Our simulations show that the refined BP with scalar messages and the proposed OSD outperforms previous BP-OSD combinations. We achieve thresholds of roughly 17.5%-17.7% for toric, surface, and XZZX codes, and 15.42% for hexagonal planar color codes.
UR - http://www.scopus.com/inward/record.url?scp=85174577003&partnerID=8YFLogxK
U2 - 10.1109/ISTC57237.2023.10273527
DO - 10.1109/ISTC57237.2023.10273527
M3 - Conference contribution
AN - SCOPUS:85174577003
T3 - 2023 12th International Symposium on Topics in Coding, ISTC 2023
BT - 2023 12th International Symposium on Topics in Coding, ISTC 2023
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 12th International Symposium on Topics in Coding, ISTC 2023
Y2 - 4 September 2023 through 8 September 2023
ER -