Quasi-inversion of quantum and classical channels in finite dimensions

• URL: http://arxiv.org/abs/2104.06062v3
• Date: Thu, 17 Jun 2021 08:42:01 GMT
• Title: Quasi-inversion of quantum and classical channels in finite dimensions
• Authors: Fereshte Shahbeigi, Koorosh Sadri, Morteza Moradi, Karol \.Zyczkowski, Vahid Karimipour
• Abstract summary: 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. 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.
• Score: 2.362412515574206
• License: http://creativecommons.org/licenses/by/4.0/
• 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.

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