On a Differential Geometric Viewpoint of Jaynes' Maxent Method and its Quantum Extension

Details On a Differential Geometric Viewpoint of Jaynes' Maxent Method and its Quantum Extension On a Differential Geometric Viewpoint of Jaynes' Maxent Method and its Quantum Extension

2011-10-31

arxiv.org/abs/1110.6712v1

Physics

Mathematical Physics

6 pages and 0 figures. Accepted contribution to MaxEnt 2011, the 31st International Workshop on Bayesian Inference and Maximum

Scientific paper

We present a differential geometric viewpoint of the quantum MaxEnt estimate of a density operator when only incomplete knowledge encoded in the expectation values of a set of quantum observables is available. Finally, the additional possibility of considering some prior bias towards a certain density operator (the prior) is taken into account and the unsolved issues with its quantum relative entropic inference criterion are pointed out.

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