Approximate Quasiorthogonality of Operator Algebras and Relative Quantum Privacy
Quantum Physics
2019-11-19 v1 Functional Analysis
Operator Algebras
Abstract
We show that the approximate quasiorthogonality of two operator algebras is equivalent to the algebras being approximately private relative to their conditional expectation quantum channels. Our analysis is based on a characterization of the measure of orthogonality in terms of Choi matrices and Kraus operators for completely positive maps. We present examples drawn from different areas of quantum information.
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Cite
@article{arxiv.1911.07326,
title = {Approximate Quasiorthogonality of Operator Algebras and Relative Quantum Privacy},
author = {David W. Kribs and Jeremy Levick and Mike Nelson and Rajesh Pereira and Mizanur Rahaman},
journal= {arXiv preprint arXiv:1911.07326},
year = {2019}
}
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14 pages