Maximizing the divergence from a hierarchical model of quantum states

Publikationstyp
Journal Article
Date Issued
2014-06-03
Sprache
English
Author(s)
Weis, Stephan  
Knauf, Andreas  
Ay, Nihat  
Zhao, Ming-Jing  
TORE-URI
http://hdl.handle.net/11420/14229
Journal
Open systems & information dynamics  
Volume
22
Issue
1
Article Number
1550006
Citation
Open Systems & Information Dynamics 22 (1): 1550006 (2015)
Publisher DOI
10.1142/S1230161215500067
Scopus ID
2-s2.0-84942595380
ArXiv ID
1406.0833v3
Publisher
Springer Science + Business Media B.V
We study many-party correlations quantified in terms of the Umegaki relative entropy (divergence) from a Gibbs family known as a hierarchical model. We derive these quantities from the maximum-entropy principle which was used earlier to define the closely related irreducible correlation. We point out differences between quantum states and probability vectors which exist in hierarchical models, in the divergence from a hierarchical model and in local maximizers of this divergence. The differences are, respectively, missing factorization, discontinuity and reduction of uncertainty. We discuss global maximizers of the mutual information of separable qubit states.
Subjects
Mathematical Physics
Quantum Physics
62H20
62F30
94A17
81P16
81P45
DDC Class
510: Mathematik