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- Title
Maximizing the Divergence from a Hierarchical Model of Quantum States.
- Authors
Weis, Stephan; Knauf, Andreas; Ay, Nihat; Zhao, Ming-Jing
- Abstract
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 the 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
MAXIMUM entropy method; QUANTUM states; STATISTICAL correlation; PROBABILITY theory; FACTORIZATION; QUANTUM mechanics
- Publication
Open Systems & Information Dynamics (OSID), 2015, Vol 22, Issue 1, p-1
- ISSN
1230-1612
- Publication type
Article
- DOI
10.1142/S1230161215500067