Chained Typical Subspaces - a Quantum Version of Breiman's Theorem
Bjelakovic, Igor ; Krueger, Tyll ; Siegmund-Schultze, Rainer ; Szkola, Arleta
arXiv, 0301177 / Harvested from arXiv
Text on arXiv
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).
Publié le : 2003-01-31
Classification:  Quantum Physics,  Mathematical Physics,  Mathematics - Dynamical Systems,  Mathematics - Operator Algebras 
@article{0301177,
     author = {Bjelakovic, Igor and Krueger, Tyll and Siegmund-Schultze, Rainer and Szkola, Arleta},
     title = {Chained Typical Subspaces - a Quantum Version of Breiman's Theorem},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0301177}
}

Bjelakovic, Igor; Krueger, Tyll; Siegmund-Schultze, Rainer; Szkola, Arleta. Chained Typical Subspaces - a Quantum Version of Breiman's Theorem. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0301177/