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Natural information measures in Cox' approach for contextual probabilistic theories

2015/04/07 by F. Holik, Holik, F., A. Plastino +3
Physics and Astronomy · #FOS: Physical sciences #Quantum Physics (quant-ph) #quant-ph

paper · pdf · doi:10.48550/arxiv.1504.01635

arxiv created 2015/09/30 · arxiv updated 2015/10/02

Abstract

In this article we provide, from a novel perspective, arguments that support the idea that, in the wake of Cox' approach to probability theory, von Neumann's entropy should be the natural one in Quantum Mechanics. We also generalize the pertinent reasoning to more general orthomodular lattices, which reveals the structure of a general non-Boolean information theory.

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