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A Fisher information-based incompatibility criterion for quantum channels

Authors :
Zhang, Qing-Hua
Nechita, Ion
Publication Year :
2022

Abstract

We introduce a new incompatibility criterion for quantum channels, based on the notion of (quantum) Fisher information. Our construction is based on a similar criterion for quantum measurements put forward by H.~Zhu. We then study the power of the incompatibility criterion in different scenarios. Firstly, we prove the first analytical conditions for the incompatibility of two Schur channels. Then, we study the incompatibility structure of a tuple of depolarizing channels, comparing the newly introduced criterion with the known results from asymmetric quantum cloning.<br />Comment: 16 pages, 2 figures

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.2204.09963
Document Type :
Working Paper
Full Text :
https://doi.org/10.3390/e24060805