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://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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