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MiS Preprint
33/2007

Typical support and Sanov large deviations of correlated states

Igor Bjelakovic, Jean-Dominique Deuschel, Tyll Krüger, Ruedi Seiler, Rainer Siegmund-Schultze and Arleta Szkola

Abstract

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, refering to the newly introduced class of HP-states.

Received:
Mar 29, 2007
Published:
Mar 29, 2007
MSC Codes:
81-xx, 60-xx, 37-xx
Keywords:
(quantum) large deviations, quantum Sanov's theorem, correlated quantum lattice systems, (quantum) hypothesis testing

Related publications

inJournal
2008 Journal Open Access
Igor Bjelakovic, Jean-Dominique Deuschel, Tyll Krüger, Ruedi Seiler, Rainer Siegmund-Schultze and Arleta Szkoła

Typical support and Sanov large deviations of correlated states

In: Communications in mathematical physics, 279 (2008) 2, pp. 559-584