Approximate Quasiorthogonality of Operator Algebras and Relative Quantum Privacy

David W. Kribs; Jeremy Levick; Mike Nelson; Mizanur Rahaman; Rajesh Pereira

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Approximate Quasiorthogonality of Operator Algebras and Relative Quantum Privacy

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arxiv 1911.07326 v1 pith:IIIB774X submitted 2019-11-17 quant-ph math.FAmath.OA

Approximate Quasiorthogonality of Operator Algebras and Relative Quantum Privacy

David W. Kribs , Jeremy Levick , Mike Nelson , Rajesh Pereira , Mizanur Rahaman This is my paper

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keywords algebrasquantumapproximateoperatorquasiorthogonalityrelativeanalysisapproximately

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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.

Approximate Quasiorthogonality of Operator Algebras and Relative Quantum Privacy

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