双频量子相位估计减轻量子算法的频谱泄漏
Dual-Frequency Quantum Phase Estimation Mitigates the Spectral Leakage of Quantum Algorithms
摘要：
量子相位估计是各种量子算法的重要组成部分。然而，当记录长度的倒数不是未知相位的整数倍时，它会遭受频谱泄漏，这会导致精度下降。对于现有的单样本估计方案，已经提出了基于窗口的方法来减轻频谱泄漏。作为进一步的进步，我们提出了一个双频估计，渐近接近Cramer-Rao界，当多个样本。数值结果表明，该估计优于现有的基于窗口的方法，当样本数足够高。
英文摘要：
Quantum phase estimation is an important component in diverse quantum algorithms. However, it suffers from spectral leakage, when the reciprocal of the record length is not an integer multiple of the unknown phase, which incurs an accuracy degradation. For the existing single-sample estimation scheme, window-based methods have been proposed for spectral leakage mitigation. As a further advance, we propose a dual-frequency estimator, which asymptotically approaches the Cramer-Rao bound, when multiple samples are available. Numerical results show that the proposed estimator outperforms the existing window-based methods, when the number of samples is sufficiently high.
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