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Chained Typical Subspaces - a Quantum Version of Breiman's Theorem
[article]
2003
arXiv
pre-print
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).
arXiv:quant-ph/0301177v2
fatcat:a2qwvhf34vfjhgdibeqynznmpm