The Quantum Relative Entropy as a Rate Function and Information Criteria

2012/02/14 by Okamura, Kazuya
#FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR) #Quantum Physics (quant-ph) #Statistics Theory (math.ST)

paper · doi:10.48550/arxiv.1202.2943

Abstract

We prove that the quantum relative entropy is a rate function in large deviation principle. Next, we define information criteria for quantum states and estimate the accuracy of the use of them. Most of the results in this paper are essentially based on Hiai-Ohya-Tsukada theorem.

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