On the logical error rate of sparse quantum codes

• DOI: 10.48550/arxiv.2108.10645
• Publication Date: 2021-01-01
• Authors: Patricio Fuentes; Josu Etxezarreta ...; Pedro M. Crespo; Javier Garcia‐Frias
• Keywords: Degeneracy (biology); Quantum convolutional code

The quantum paradigm presents a phenomenon known as degeneracy that should improve the performance of error correcting codes. However, effects this mechanism are sometimes ignored when evaluating sparse codes and logical rate is not always correctly reported. In paper, we discuss previously existing methods to compute present an efficient coset-based method inspired by classical coding strategies estimate degenerate errors. Additionally, show proposed computational advantage for family Calderbank-Shor-Steane We use prove errors frequent in specific codes, which stresses importance accurately reporting their performance. Our results also reveal modified decoding literature important tool