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首页> 外文期刊>Physical Review X >Subsystem Codes with High Thresholds by Gauge Fixing and Reduced Qubit Overhead
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Subsystem Codes with High Thresholds by Gauge Fixing and Reduced Qubit Overhead

机译：具有高阈值的子系统代码通过仪表固定和减少量子位开销

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摘要

We introduce a technique that uses gauge fixing to significantly improve the quantum-error-correcting performance of subsystem codes. By changing the order in which check operators are measured, valuable additional information can be gained, and we introduce a new method for decoding which uses this information to improve performance. Applied to the subsystem toric code with three-qubit check operators, we increase the threshold under circuit-level depolarizing noise from 0.67% to 0.81%. The threshold increases further under a circuit-level noise model with small finite bias, up to 2.22% for infinite bias. Furthermore, we construct families of finite-rate subsystem low-density parity-check codes with three-qubit check operators and optimal-depth parity-check measurement schedules. To the best of our knowledge, these finite-rate subsystem codes outperform all known codes at circuit-level depolarizing error rates as high as 0.2%, where they have a qubit overhead that is 4.3 × lower than the most efficient version of the surface code and 5.1 × lower than the subsystem toric code. Their threshold and pseudo-threshold exceeds 0.42% for circuit-level depolarizing noise, increasing to 2.4% under infinite bias using gauge fixing.
机译：我们介绍一种使用规范修复的技术，以显着提高子系统代码的量子误差校正性能。通过改变测量检查运算符的顺序，可以获得有价值的附加信息，并且我们引入了一种用于解码的新方法，该方法使用这些信息来提高性能。应用于具有三个Qubit检查操作员的子系统复合代码，我们在电路电平下的阈值下降到0.67％至0.81％。阈值在具有小有限偏差的电路级噪声模型下进一步增加，无限偏压高达2.22％。此外，我们构建有限速率子系统低密度奇偶校验码的家庭，具有三个时钟检查操作员和最佳深度奇偶校验测量计划。据我们所知，这些有限速率子系统代码优于电路级别的所有已知代码，高于0.2％，它们具有4.3×低于表面代码的最有效版本的Qubit开销和5.1×低于子系统Toric代码。电路电平降极噪声的阈值和伪阈值超过0.42％，在使用量规固定下的无限偏压下增加到2.4％。

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