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Quantum Foundations

The extension problem for partial Boolean structures in Quantum Mechanics

arXiv

Authors: Costantino Budroni, Giovanni Morchio

Year

2010

Paper ID

10742

Status

Preprint

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~2 min

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Abstract

Alternative partial Boolean structures, implicit in the discussion of classical representability of sets of quantum mechanical predictions, are characterized, with definite general conclusions on the equivalence of the approaches going back to Bell and Kochen-Specker. An algebraic approach is presented, allowing for a discussion of partial classical extension, amounting to reduction of the number of contexts, classical representability arising as a special case. As a result, known techniques are generalized and some of the associated computational difficulties overcome. The implications on the discussion of Boole-Bell inequalities are indicated.

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Alternative partial Boolean structures, implicit in the discussion of classical representability of sets of quantum mechanical predictions, are characterized, with definite...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1010.4662 [2] arXiv https://arxiv.org/abs/1010.4662 [3] Publisher https://arxiv.org/abs/1010.4662

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