This paper is concerned with the phase estimation algorithm in quantum computing algorithms, especially the scenarios where (1) the input vector is not an eigenvector; (2) the unitary operator is not exactly implemented; (3) random approximations are used for the unitary operator, e.g., the QDRIFT method. We characterize the probability of computing the phase values in terms of the consistency error, including the residual error, Trotter splitting error, or statistical mean-square error.

翻译：本文件涉及量子计算算法中的阶段估计算法,特别是(1) 输入矢量不是源数;(2) 单体操作员没有完全实施;(3) 单体操作员使用随机近似值,例如QDRIFT方法。我们从一致性错误,包括残余错误、Trotter分裂错误或统计平均差数计算阶段值的概率来描述。