Typical support and Sanov large deviations of correlated states

Details Typical support and Sanov large deviations of correlated states Typical support and Sanov large deviations of correlated states

2007-03-27

arxiv.org/abs/math/0703772v2

Mathematics

Probability

29 pages, no figures, references added

Scientific paper

10.1007/s00220-008-0440-6

Discrete stationary classical processes as well as quantum lattice states are asymptotically confined to their respective typical support, the exponential growth rate of which is given by the (maximal ergodic) entropy. In the iid case the distinguishability of typical supports can be asymptotically specified by means of the relative entropy, according to Sanov's theorem. We give an extension to the correlated case, referring to the newly introduced class of HP-states.

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