论文标题
基于少量代码的容忍性富裕性：有偏见的错误通道的奇偶校验检查电路
Fault-tolerant fidelity based on few-qubit codes: Parity-check circuits for biased error channels
论文作者
论文摘要
在浅水阈值制度中，容忍断层的量子计算需要大量量子。在本文中，我们研究了深层阈值制度中的误差校正。我们使用少量Qubit代码，即短次重复代码，小型表面代码和Steane代码来估算达到$ 10^{ - 6} $ 10^{ - 6} $ $ 10^{ - 6} $的物理错误率。确定有效的偏差误差通道的误差校正电路。使用steane代码，当错误通道以$ 10^{ - 3} $的比率偏置时，可以通过$ 10^{ - 15} $的逻辑错误率，而物理错误率为$ 10^{ - 5} $，这比$ 10^{ - 9} $的物理错误率高得多。
In the shallow sub-threshold regime, fault-tolerant quantum computation requires a tremendous amount of qubits. In this paper, we study the error correction in the deep sub-threshold regime. We estimate the physical error rate for achieving the logical error rates of $10^{-6} - 10^{-15}$ using few-qubit codes, i.e. short repetition codes, small surface codes and the Steane code. Error correction circuits that are efficient for biased error channels are identified. Using the Steane code, when error channels are biased with a ratio of $10^{-3}$, the logical error rate of $10^{-15}$ can be achieved with the physical error rate of $10^{-5}$, which is much higher than the physical error rate of $10^{-9}$ for depolarising errors.
