An Ergodic Theorem for the Quantum Relative Entropy
量子物理
2009-11-10 v1 数学物理
math.MP
概率论
摘要
We prove the ergodic version of the quantum Stein's lemma which was conjectured by Hiai and Petz. The result provides an operational and statistical interpretation of the quantum relative entropy as a statistical measure of distinguishability, and contains as a special case the quantum version of the Shannon-McMillan theorem for ergodic states. A version of the quantum relative Asymptotic Equipartition Property (AEP) is given.
关键词
引用
@article{arxiv.quant-ph/0306094,
title = {An Ergodic Theorem for the Quantum Relative Entropy},
author = {Igor Bjelakovic and Rainer Siegmund-Schultze},
journal= {arXiv preprint arXiv:quant-ph/0306094},
year = {2009}
}
备注
19 pages, no figures