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

Abstract

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.

6 pages and 0 figures. Accepted contribution to MaxEnt 2011, the 31st International Workshop on Bayesian Inference and Maximum Entropy Methods in Science and Engineering; 10-15 July, Waterloo (CANADA)

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