The MaxEnt extension of a quantum Gibbs family, convex geometry and geodesics

Abstract

We discuss methods to analyze a quantum Gibbs family in the ultra-cold regime where the norm closure of the Gibbs family fails due to discontinuities of the maximum-entropy inference. The current discussion of maximum-entropy inference and irreducible correlation in the area of quantum phase transitions is a major motivation for this research. We extend a representation of the irreducible correlation from finite temperatures to absolute zero.

8 pages, 3 figures, 34th International Workshop on Bayesian Inference and Maximum Entropy Methods in Science and Engineering, 21-26 September 2014, Château du Clos Lucé, Amboise, France

References in corpus (1)

• Maximizing the divergence from a hierarchical model of quantum states

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