Maximizing the divergence from a hierarchical model of quantum states
Knauf A, Weis S, Ay N, Zhao MJ (2015)
Publication Type: Journal article, Original article
Publication year: 2015
Journal
Publisher: World Scientific Publishing / Springer Verlag (Germany)
Book Volume: 22
Pages Range: 1550006, 22
Journal Issue: 1
DOI: 10.1142/S1230161215500067
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.
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How to cite
APA:
Knauf, A., Weis, S., Ay, N., & Zhao, M.-J. (2015). Maximizing the divergence from a hierarchical model of quantum states. Open Systems & Information Dynamics, 22(1), 1550006, 22. https://dx.doi.org/10.1142/S1230161215500067
MLA:
Knauf, Andreas, et al. "Maximizing the divergence from a hierarchical model of quantum states." Open Systems & Information Dynamics 22.1 (2015): 1550006, 22.
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