A Classification of Hidden-Variable Properties

Details A Classification of Hidden-Variable Properties A Classification of Hidden-Variable Properties

2007-11-29

arxiv.org/abs/0711.4650v3

J. Phys. A: Math. Theor. 41 (2008) 425302

Physics

Quantum Physics

28 pages; added references; clearer exposition. Final version

Scientific paper

10.1088/1751-8113/41/42/425302

Hidden variables are extra components added to try to banish counterintuitive features of quantum mechanics. We start with a quantum-mechanical model and describe various properties that can be asked of a hidden-variable model. We present six such properties and a Venn diagram of how they are related. With two existence theorems and three no-go theorems (EPR, Bell, and Kochen-Specker), we show which properties of empirically equivalent hidden-variable models are possible and which are not. Formally, our treatment relies only on classical probability models, and physical phenomena are used only to motivate which models to choose.

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