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arXiv · 1110.6712

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

S. A. Ali·Carlo Cafaro·Adom Giffin·Cosmo Lupo·Stefano Mancini
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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.

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S. A. Ali, Carlo Cafaro, Adom Giffin, Cosmo Lupo, Stefano Mancini. 2011-10-31. On a Differential Geometric Viewpoint of Jaynes' Maxent Method and its Quantum Extension. https://doi.org/10.1063/1.3703628

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