Quantum entanglement and the maximum-entropy states from the Jaynes principle

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Abstract
We show that the Jaynes principle is indeed a proper inference scheme when applied to compound systems and will correctly produce the entangled maximum entropy states compatible with appropriate data. This is shown in a particular example considered recently by Horodecki et al. [Phys. Rev. A 59, 1799 (1999)], by including the dispersion of the entanglement along with its mean value as constraints and an application of the uncertainty principle. We also construct a “thermodynamiclike” description of the entanglement arising out of the maximum entropy principle.
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