Typical support and Sanov large deviations of correlated states

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

29 pages, no figures, references added

References in corpus (2)

• Stochastic differential equations with jumps
• Large deviations in quantum lattice systems: one-phase region

Cited by in corpus (2)

• Error exponents in hypothesis testing for correlated states on a spin chain
• Large deviations and Chernoff bound for certain correlated states on a spin chain