I. Bjelakovic, T. Kr ger, Ra. Siegmund-Schultze, A. Szkola
Chained Typical Subspaces - a Quantum Version of Breiman's Theorem
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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.