Some Error Analysis for the Quantum Phase Estimation Algorithms
@article{Li2021SomeEA, title={Some Error Analysis for the Quantum Phase Estimation Algorithms}, author={Xiantao Li}, journal={ArXiv}, year={2021}, volume={abs/2111.10430} }
This paper is concerned with the phase estimation algorithm in quantum computing, 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 [6]. 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.
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