Fisher information, Wehrl entropy, and Landau diamagnetism
نویسندگان
چکیده
منابع مشابه
Generalized information-entropy measures and Fisher information
We show how Fisher’s information already known particular character as the fundamental information geometric object which plays the role of a metric tensor for a statistical differential manifold, can be derived in a relatively easy manner through the direct application of a generalized logarithm and exponential formalism to generalized information-entropy measures. We shall first shortly descr...
متن کاملRandom Dynamics, Entropy Production and Fisher Information
We analyze a specific role of probability density gradients in the theory of irreversible transport processes. The classic Fisher information and information entropy production concepts are found to be intrinsically entangled with the very notion of the Markovian diffusion process and that of the related (local) momentum conservation law. 1 Motivations and associations The main objective of the...
متن کاملWehrl entropy, Lieb conjecture, and entanglement monotones
We propose to quantify the entanglement of pure states of N3N bipartite quantum systems by defining its Husimi distribution with respect to SU(N)3SU(N) coherent states. The Wehrl entropy is minimal if and only if the analyzed pure state is separable. The excess of the Wehrl entropy is shown to be equal to the subentropy of the mixed state obtained by partial trace of the bipartite pure state. T...
متن کاملLocalization of eigenstates and mean Wehrl entropy
Dynamics of a periodically time-dependent quantum system is re ected in the features of the eigenstates of the Floquet operator. Of the special importance, are their localization properties quantitatively characterized by the eigenvector entropy, the inverse participation ratio or the eigenvector statistics. Since these quantities depend on the choice of the eigenbasis, we suggest to use the ov...
متن کاملRelations between Renyi Distance and Fisher Information
In this paper, we first show that Renyi distance between any member of a parametric family and its perturbations, is proportional to its Fisher information. We, then, prove some relations between the Renyi distance of two distributions and the Fisher information of their exponentially twisted family of densities. Finally, we show that the partial ordering of families induced by Renyi dis...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical Review B
سال: 2005
ISSN: 1098-0121,1550-235X
DOI: 10.1103/physrevb.71.024420