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Exponential speedup in measuring out-of-time-ordered correlators with a single bit of quantum information

Quantum Physics 2021-03-17 v1

Abstract

Out-of-time-ordered correlators (OTOC) are a quantifier of quantum information scrambling and quantum chaos. We propose an efficient quantum algorithm to measure OTOCs that provides an exponential speed-up over the best known classical algorithm provided the OTOC operator to be estimated admits an efficient gate decomposition. We also discuss a scheme to obtain information about the eigenvalue spectrum and the spectral density of OTOCs.

Keywords

Cite

@article{arxiv.2009.03415,
  title  = {Exponential speedup in measuring out-of-time-ordered correlators with a single bit of quantum information},
  author = {Sreeram PG and Naga Dileep Varikuti and Vaibhav Madhok},
  journal= {arXiv preprint arXiv:2009.03415},
  year   = {2021}
}

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5 pages