English

Quasi-inversion of quantum and classical channels in finite dimensions

Quantum Physics 2021-08-11 v3

Abstract

We introduce the concept of quasi-inverse of quantum and classical channels, prove general properties of these inverses and determine them for a large class of channels acting in an arbitrary finite dimension. Therefore we extend the previous results of [1] to arbitrary dimensional channels and to the classical domain. We demonstrate how application of the proposed scheme can increase on the average the fidelity between a given random pure state and its image transformed by the quantum channel followed by its quasi-inversion.

Keywords

Cite

@article{arxiv.2104.06062,
  title  = {Quasi-inversion of quantum and classical channels in finite dimensions},
  author = {Fereshte Shahbeigi and Koorosh Sadri and Morteza Moradi and Karol Życzkowski and Vahid Karimipour},
  journal= {arXiv preprint arXiv:2104.06062},
  year   = {2021}
}

Comments

39 pages, 10 figures