Quasi-inversion of quantum and classical channels in finite dimensions
arXiv:2104.06062 · doi:10.1088/1751-8121/ac13db
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.
arXiv comment39 pages, 10 figures
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