A classification of hidden-variable properties

doi:10.1088/1751-8113/41/42/425302

A classification of hidden-variable properties

Adam Brandenburger et al 2008 J. Phys. A: Math. Theor. 41 425302 (21pp) doi: 10.1088/1751-8113/41/42/425302

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Adam Brandenburger¹ and Noson Yanofsky²
¹ Stern School of Business, New York University, 44 West Fourth Street, New York, NY 10012, USA
² Department of Computer and Information Science, Brooklyn College, 2900 Bedford Avenue, Brooklyn, NY 11210, USA
E-mail: adam.brandenburger@stern.nyu.edu and noson@sci.brooklyn.cuny.edu

Abstract. 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.

PACS numbers: 03.65.Ta, 03.65.Ud, 02.50.Cw

Print publication: Issue 42 (24 October 2008)
Received 8 January 2008, in final form 28 August 2008
Published 26 September 2008

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A classification of hidden-variable properties

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