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Quasi-inversion of quantum and classical channels in finite dimensions

Shahbeigi, F ; Sharif University of Technology | 2021

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  1. Type of Document: Article
  2. DOI: 10.1088/1751-8121/ac13db
  3. Publisher: IOP Publishing Ltd , 2021
  4. Abstract:
  5. 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. Thereforewe extend the previous results of Karimipour et al (2020 Phys. Rev. A 101 032109) 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. © 2021 The Author(s)
  6. Keywords:
  7. Inverting a channel ; Stochastic matrices ; Quasiinversion ; Quantum channels
  8. Source: Journal of Physics A: Mathematical and Theoretical ; Volume 54, Issue 34 , 2021 ; 17518113 (ISSN)
  9. URL: https://iopscience.iop.org/article/10.1088/1751-8121/ac13db