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arXiv · 1911.07326

Approximate Quasiorthogonality of Operator Algebras and Relative Quantum Privacy

David W. Kribs·Jeremy Levick·Mike Nelson·Rajesh Pereira·Mizanur Rahaman
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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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David W. Kribs, Jeremy Levick, Mike Nelson, Rajesh Pereira, Mizanur Rahaman. 2019-11-17. Approximate Quasiorthogonality of Operator Algebras and Relative Quantum Privacy. https://arxiv.org/abs/1911.07326

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