The Quantum Relative Entropy as a Rate Function and Information Criteria
Quantum Physics
2012-02-16 v2 Mathematical Physics
math.MP
Probability
Statistics Theory
Statistics Theory
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.
Keywords
Cite
@article{arxiv.1202.2943,
title = {The Quantum Relative Entropy as a Rate Function and Information Criteria},
author = {Kazuya Okamura},
journal= {arXiv preprint arXiv:1202.2943},
year = {2012}
}
Comments
21 pages