Some Error Analysis for the Quantum Phase Estimation Algorithms
Abstract
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 meansquare error.
 Publication:

arXiv eprints
 Pub Date:
 November 2021
 arXiv:
 arXiv:2111.10430
 Bibcode:
 2021arXiv211110430L
 Keywords:

 Quantum Physics;
 Mathematics  Numerical Analysis;
 Physics  Computational Physics