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arXiv · 1607.07625

Multiple Quantum Hypothesis Testing Expressions and Classical-Quantum Channel Converse Bounds

Gonzalo Vazquez-Vilar
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Abstract

Alternative exact expressions are derived for the minimum error probability of a hypothesis test discriminating among $M$ quantum states. The first expression corresponds to the error probability of a binary hypothesis test with certain parameters; the second involves the optimization of a given information-spectrum measure. Particularized in the classical-quantum channel coding setting, this characterization implies the tightness of two existing converse bounds; one derived by Matthews and Wehner using hypothesis-testing, and one obtained by Hayashi and Nagaoka via an information-spectrum approach.

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Gonzalo Vazquez-Vilar. 2016-07-26. Multiple Quantum Hypothesis Testing Expressions and Classical-Quantum Channel Converse Bounds. https://doi.org/10.1109/isit.2016.7541820

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