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A randomized quantum algorithm for statistical phase estimation

Quantum Physics 2022-08-09 v2 Data Structures and Algorithms

Abstract

Phase estimation is a quantum algorithm for measuring the eigenvalues of a Hamiltonian. We propose and rigorously analyse a randomized phase estimation algorithm with two distinctive features. First, our algorithm has complexity independent of the number of terms L in the Hamiltonian. Second, unlike previous L-independent approaches, such as those based on qDRIFT, all sources of error in our algorithm can be suppressed by collecting more data samples, without increasing the circuit depth.

Keywords

Cite

@article{arxiv.2110.12071,
  title  = {A randomized quantum algorithm for statistical phase estimation},
  author = {Kianna Wan and Mario Berta and Earl T. Campbell},
  journal= {arXiv preprint arXiv:2110.12071},
  year   = {2022}
}

Comments

5+20 pages, 4 figures