A discussion on the origin of quantum probabilities

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• 作者：Federico Holik ; Manuel S谩enz ; Angel Plastino
• 关键词：Quantum probability ; Lattice theory ; Information theory
• 刊名：Annals of Physics
• 出版年：January, 2014
• 年：2014
• 卷：340
• 期：1
• 页码：293-310
• 全文大小：506 K

文摘

We study the origin of quantum probabilities as arising from non-Boolean propositional-operational structures. We apply the method developed by Cox to non distributive lattices and develop an alternative formulation of non-Kolmogorovian probability measures for quantum mechanics. By generalizing the method presented in previous works, we outline a general framework for the deduction of probabilities in general propositional structures represented by lattices (including the non-distributive case).