论文标题
结合$ t_1 $和$ t_2 $估计与随机基准和钻石距离的界限
Combining $T_1$ and $T_2$ estimation with randomized benchmarking and bounding the diamond distance
论文作者
论文摘要
量子系统中错误的表征是两个重要目标的基本步骤。首先，了解特定错误源对于优化实验设计和误差校正方法至关重要。其次，验证误差低于某些阈值以满足阈值定理的标准。我们考虑了误差由广义阻尼通道主导的情况（涵盖了振幅阻尼和dephasing的常见内在过程），但也可能包含其他未知的错误源。我们证明了标准$ T_1 $和$ T_2 $估计方法的鲁棒性，并在附加错误源下的这些估计中提供了预期错误的表达式。然后，我们得出表达式，以比较基于阻尼参数的细粒随机基准测试实验的实际和预期结果。鉴于此比较的结果，我们提供了范围，以允许对故障容忍度的阈值进行稳健的估计。
The characterization of errors in a quantum system is a fundamental step for two important goals. First, learning about specific sources of error is essential for optimizing experimental design and error correction methods. Second, verifying that the error is below some threshold value is required to meet the criteria of threshold theorems. We consider the case where errors are dominated by the generalized damping channel (encompassing the common intrinsic processes of amplitude damping and dephasing) but may also contain additional unknown error sources. We demonstrate the robustness of standard $T_1$ and $T_2$ estimation methods and provide expressions for the expected error in these estimates under the additional error sources. We then derive expressions that allow a comparison of the actual and expected results of fine-grained randomized benchmarking experiments based on the damping parameters. Given the results of this comparison, we provide bounds that allow robust estimation of the thresholds for fault-tolerance.
