The Shannon-McMillan Theorem for AF $C^*$-systems
Mathematical Physics
2015-06-15 v1 math.MP
Operator Algebras
Abstract
We give a new proof of quantum Shannon-McMillan theorem, extending it to AF -systems. Our proof is based on the variational principle, instead of the classical Shannon-McMillan theorem.
Cite
@article{arxiv.1303.2288,
title = {The Shannon-McMillan Theorem for AF $C^*$-systems},
author = {Yoshiko Ogata},
journal= {arXiv preprint arXiv:1303.2288},
year = {2015}
}