|Sfb 288 Differential Geometry and Quantum Physics|
Abstract for Sfb Preprint No. 581
Chained Typical Subspaces - a Quantum Version of Breiman's Theorem
I. Bjelakovic, T. Krüger, Ra. Siegmund-Schultze, A. Szkola
We give an equivalent finitary reformulation of the classical Shannon-McMilla n-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 pr esented in our work arXiv.org/math.DS/0207121.
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