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Sfb288 logo 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

arXiv.org/quant-ph/0301177

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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