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On quasi-inversion of quantum channels in 2 and in higher dimensions
, Article Open Systems and Information Dynamics ; Volume 29, Issue 3 , 2022 ; 12301612 (ISSN) ; Sharif University of Technology
World Scientific
2022
Abstract
We review the concept of the quasi-inverse of qubit channels and of higher dimensional channels. Quasi-inverse is a channel which when concatenaded to the original channel, increases its average fidelity in an optimal way. For qubit channels, we fully characterize the quasi-inverse, while for higher dimensional channels, we prove general theorems and provide bounds for the increased average fidelity. Nevertheless, explicit examples are given when exact quasi-inverses can be found. © 2022 World Scientific Publishing Company