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

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

2003-01-31

arxiv.org/abs/quant-ph/0301177v2

Physics

Quantum Physics

9 pages

Scientific paper

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).

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