Entropic Updating of Probability and Density Matrices

Abstract

We find that the standard relative entropy and the Umegaki entropy are designed for the purpose of inferentially updating probability and density matrices respectively. From the same set of inferentially guided design criteria, both of the previously stated entropies are derived in parallel. This formulates a quantum maximum entropy method for the purpose of inferring density matrices in the absence of complete information in Quantum Mechanics.

arXiv admin note: text overlap with arXiv:1412.5644 by other authors

References in corpus (3)

• Updating Probabilities
• Qubit feedback and control with kicked quantum nondemolition measurements: A quantum Bayesian analysis
• Quantum-classical interactions and measurement: a consistent description using statistical ensembles on configuration space

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