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

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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).
9 pages

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Quantum Physics, Mathematical Physics, Dynamical Systems, Operator Algebras

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http://salesiana.dossiersoluciones.com/handle/123456789/90836

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/quant-ph/0301177
 http://arxiv.org/abs/quant-ph/0301177

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arXiv