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Holevo-type bounds for general quantum system

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We consider an arbitrary von Neumann algebra with a finite trace as mathematical setup for a general quantum system. Three measures of dependence of states on measurements are presented. We… Click to show full abstract

We consider an arbitrary von Neumann algebra with a finite trace as mathematical setup for a general quantum system. Three measures of dependence of states on measurements are presented. We indicate estimates of the mutual information, the function measure and the fidelity In particular we present extended Holevo theorem for the accessible information and the upper bound of generalized Kullback–Leibler divergence.

Keywords: quantum system; type bounds; holevo type; general quantum

Journal Title: Reports on Mathematical Physics
Year Published: 2017

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