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arXiv 2609.06448cs.ETcs.CLcs.DC

量子处理器的相位循环随机基准测试:恢复隐藏的经典噪声相关性

Phase-cycled randomized benchmarking of quantum processors: recovering hidden classical noise correlations

  • Fandaqah(凡达卡)
  • Heidelberg University(海德堡大学)
  • Argaam(阿尔加姆)
  • Fortanixor(福塔尼克斯)

机构由 AI 辅助整理,请以论文原文为准。

Mirza Samad Ahmed Baig, Syeda Anshrah Gillani, Abdul Akbar Khan, Muhammad Omer Khan

AI总结:

该研究提出一种相位循环随机基准测试方法,通过八设置测量恢复量子处理器中隐藏的经典噪声相关性,并在IBM处理器上验证,建立了基准测试限制与相关性测量的联系。

AI中文摘要:

随机基准测试可能隐藏经典的时间相关性,因为其Clifford扭曲响应在噪声相位上是偶函数。对于平稳对称的电报噪声波动器,我们证明了在任意固定的空闲调制下,连续演化和在时隙边界独立平稳重置产生相同的平均响应。我们构建了一个八设置的相位循环测量,用于在理想Clifford扭曲和经典空闲退相干下测量连接的正弦相位协方差。该可观测量对于独立时隙噪声和固定失谐为零,无需弱相位或高斯近似。闭合的电报响应、独立的电路计算和800次模拟试验验证了该构造,并量化了配对自举估计器的经验覆盖率。一个单独的保守置信集陈述了其有限样本假设。在IBM处理器上的两次采集比较了工程化的共享信号和独立重置相位,具有相同的边际分布。它们的主要对比度为0.254和0.211,经验95%置信区间分别为[0.177, 0.331]和[0.136, 0.285];所有阴性对照区间均包含零。在相同的射击和传感窗口预算下,理想的Ramsey/回波估计器在每个测试类别中更为精确。该结果提供了基准测试可识别性限制与受控相关性测量之间的显式联系。未声称原生或量子内存检测。

英文摘要:

Randomized benchmarking can hide classical temporal correlations because its Clifford-twirled response is even in the noise phase. For a stationary symmetric telegraph fluctuator, we show that continuous evolution and independent stationary resets at slot boundaries yield identical mean responses for arbitrary fixed idle modulations. We construct an eight-setting phase-cycle measurement of the connected sine-phase covariance under ideal Clifford twirling and classical idle dephasing. This observable vanishes for independent slot noise and fixed detuning without a weak-phase or Gaussian approximation. A closed telegraph response, independent circuit calculations and 800 simulation trials validate the construction and quantify the empirical coverage of a paired bootstrap estimator. A separate conservative confidence set states its finite-sample assumptions. Two acquisitions on an IBM processor compare engineered shared-sign and independently reset phases with identical marginals. Their primary contrasts are 0.254 and 0.211, with empirical 95% intervals [0.177, 0.331] and [0.136, 0.285], respectively; all negative-control intervals include zero. At equal shot and sensingwindow budgets, an ideal Ramsey/echo estimator is more precise in every tested class. The result supplies an explicit connection between a benchmarking identifiability limitation and a controlled correlation measurement. No native or quantum-memory detection is claimed.

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