Zurek, Habib and Paz [W. H. Zurek, S. Habib and J. P. Paz, Phys. Rev. Lett. 70 (1993) 1187] have characterized the set of states of maximal stability defined as the set of states having minimum entropy increase due to interaction with an environment, and shown that coherent states are maximal for the particular environment model examined. To generalize these results, I consider entropy producti...

Abstract We consider a smooth area-preserving Anosov diffeomorphism $f\colon \mathbb T^2\rightarrow T^2$ homotopic to an automorphism L of $\mathbb . It is known that the positive Lyapunov exponent f with respect normalized Lebesgue measure less than or equal topological entropy , which, in addition, probability maximal entropy. Moreover, equalities only occur simultaneously. show these are res...

We define and investigate the notion of entropy for quantum error correcting codes. The entropy of a code for a given quantum channel has a number of equivalent realisations, such as through the coefficients associated with the Knill-Laflamme conditions and the entropy exchange computed with respect to any initial state supported on the code. In general the entropy of a code can be viewed as a ...

Abstract This paper reviews the solution of Einstein’s field equations for rotating black holes coupled with Maxwell’s electromagnetics. We derive thermodynamic quantities hole, such as temperature, entropy, and energy respect to mass, charge, angular momentum, first law thermodynamics. Also, we show that hole’s entropy hole will be directly proportional irreducible mass hole. present a compari...

In this paper we provide a sufficient condition for the existence of invariant measures with maximal relative measure-theoretic entropy, by introducing new any factor map between topological dynamical systems, concept conditional entropy. It is proved Ledrappier's type variational principle concerning Consequently, if has zero entropy (such called asymptotically $ h $-expansive), then there exi...

For any fixed alphabet A, the maximum topological entropy of a Z d subshift with alphabet A is obviously log |A|. We study the class of nearest neighbor Z shifts of finite type which have topological entropy very close to this maximum, and show that they have many useful properties. Specifically, we prove that for any d, there exists δd > 0 such that for any nearest neighbor Z d shift of finite...