Moderate deviations for quantum hypothesis testing and a martingale inequality

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Conference Proceeding
IEEE International Symposium on Information Theory - Proceedings, 2017, pp. 1978 - 1982
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© 2017 IEEE. 'To be considered for the 2017 IEEE Jack Keil Wolf ISIT Student Paper Award.' We study the asymptotic behavior of the type-I error in quantum hypothesis testing when the exponent of the type-II error approaches the quantum relative entropy sufficiently slowly. Our result shows that the moderate deviation principle holds for the testing problem if the quantum relative variance is positive. Our proof strategy employs strong large deviation theory and a martingale inequality.
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