Non-Boolean probabilities and quantum measurement

Details Non-Boolean probabilities and quantum measurement Non-Boolean probabilities and quantum measurement

2010-01-21

arxiv.org/abs/1001.3795v1

2001 J. Phys. A: Math. Gen. 34, 6031-6042

Physics

Mathematical Physics

12 pages, the original publication is available at http://www.iop.org

Scientific paper

10.1088/0305-4470/34/30/313

A non-Boolean extension of the classical probability model is proposed. The non-Boolean probabilities reproduce typical quantum phenomena. The proposed model is more general and more abstract, but easier to interpret, than the quantum mechanical Hilbert space formalism and exhibits a particular phenomenon (state-independent conditional probabilities) which may provide new opportunities for an understanding of the quantum measurement process. Examples of the proposed model are provided, using Jordan operator algebras.

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