Multiple Quantum Hypothesis Testing Expressions and Classical-Quantum Channel Converse Bounds
Quantum Physics
2016-11-15 v1
Abstract
Alternative exact expressions are derived for the minimum error probability of a hypothesis test discriminating among 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.
Cite
@article{arxiv.1607.07625,
title = {Multiple Quantum Hypothesis Testing Expressions and Classical-Quantum Channel Converse Bounds},
author = {Gonzalo Vazquez-Vilar},
journal= {arXiv preprint arXiv:1607.07625},
year = {2016}
}
Comments
Presented at the 2016 IEEE International Symposium on Information Theory, July 10-15, 2016, Barcelona, Spain