Quasi-inversion of quantum and classical channels in finite dimensions

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.

39 pages, 10 figures

References in corpus (2)

• Generating random quantum channels
• Symmetries of quantum evolutions

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• Measurement sharpness and disturbance tradeoff
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