03-50 I. Bjelakovic, T. Kr ger, Ra. Siegmund-Schultze, A. Szkola

Chained Typical Subspaces - a Quantum Version of Breiman's Theorem (175K, .ps.gz) Feb 11, 03

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Abstract. 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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