Chained Typical Subspaces - a Quantum Version of Breiman's Theorem [article]

Igor Bjelakovic, Tyll Krueger, Rainer Siegmund-Schultze, Arleta Szkola
2003 arXiv   pre-print
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).
arXiv:quant-ph/0301177v2 fatcat:a2qwvhf34vfjhgdibeqynznmpm