Chained Typical Subspaces - a Quantum Version of Breiman's Theorem
Quantum Physics
2007-05-23 v2 Mathematical Physics
Dynamical Systems
math.MP
Operator Algebras
Abstract
We give an equivalent finitary reformulation of the classical Shannon-McMillan-Breiman theorem which has an immediate translation to the case of ergodic quantum lattice systems. This version of a quantum Breiman theorem can be derived from the proof of the quantum Shannon-McMillan theorem presented in our previous work (math.DS/0207121).
Cite
@article{arxiv.quant-ph/0301177,
title = {Chained Typical Subspaces - a Quantum Version of Breiman's Theorem},
author = {Igor Bjelakovic and Tyll Krueger and Rainer Siegmund-Schultze and Arleta Szkola},
journal= {arXiv preprint arXiv:quant-ph/0301177},
year = {2007}
}
Comments
9 pages