We propose a non-transversal but pieceable fault tolerant conversion circuit that is used to convert encoded information between five-qubit code and seven-qubit CSS code. Since a syndrome extraction circuit requiring fewer ancillary qubit resources would facilitate the realization of large-scale quantum computations, we further adapt a flag-assisted fault tolerant syndrome measurement scheme to reduce the cost of ancillary preparation. Numerical simulations are also performed to further analyze the performance of our conversion method.

中文翻译：

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5-qubit代码和7-CSS代码之间的分段容错转换

我们提出了一种非横向但可分段的容错转换电路，该电路用于在五比特位代码和七比特位CSS代码之间转换编码信息。由于需要较少的辅助量子位资源的校正子提取电路将有助于大规模量子计算的实现，因此，我们进一步采用了标志辅助的容错校正子测量方案，以减少辅助准备的成本。还进行了数值模拟，以进一步分析我们转换方法的性能。