We discuss single-shot decoding of quantum Calderbank-Shor-Steane codes with faulty syndrome measurements. We state the problem as a joint source-channel coding problem. By adding redundant rows to the code's parity-check matrix we obtain an additional syndrome error correcting code which addresses faulty syndrome measurements. Thereby, the redundant rows are chosen to obtain good syndrome error correcting capabilities while keeping the stabilizer weights low. Optimal joint decoding rules are derived which, though too complex for general codes, can be evaluated for short quantum codes.

翻译：我们讨论在含噪征候测量条件下量子Calderbank-Shor-Steane码的单次解码问题。将该问题表述为联合源信道编码问题，通过向码的校验矩阵添加冗余行，构建用于处理错误征候测量的附加征候纠错码。冗余行的选取需平衡低稳定子权重与优良的征候纠错能力。推导出最优联合解码规则，该规则虽对一般量子码过于复杂，但可评估短量子码的性能。