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Maximizing the divergence from a hierarchical model of quantum states
Stephan Weis, Andreas Knauf, Nihat Ay and Ming-Jing ZhaoAbstract
We quantify higher-order correlations in a composite quantum system in terms of the divergence from a family of Gibbs states with well-specified interaction patterns, known as hierarchical model. We begin with a review of factoring in a classical hierarchical model. This is just one aspect of our critical discussion of the divergence from a hierarchical model of quantum states. Then we turn to maximizers of the divergence from a Gibbs family. For example, we consider an upper bound on the support size of a local maximizer of higher-order correlation and we improve it to the square root, asymptotically for identical units. We compute the global maximizers of the mutual information of two separable qubits.
- Received:
- 06.06.14
- Published:
- 24.06.14
- MSC Codes:
- 94A17, 81P45, 62F30
- Keywords:
- mutual information, multi-information, higher-order correlations, hierarchical model, factoring, Gibbs family, maximum entropy, maximizers of correlation, separable state