Quick search Find article
Quick search
Find article

A classification of hidden-variable properties

Adam Brandenburger1 and Noson Yanofsky2

Show affiliations


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

03.65.Ud Entanglement and quantum nonlocality (e.g. EPR paradox, Bell's inequalities, GHZ states, etc.)

02.50.Cw Probability theory

03.65.Ta Foundations of quantum mechanics; measurement theory

MSC

81P15 Quantum measurement theory

81Qxx General mathematical topics and methods in quantum theory

Subjects

Computational physics

Quantum information and quantum mechanics

Dates

Issue 42 (24 October 2008)

Received 8 January 2008, in final form 28 August 2008

Published 26 September 2008



  1. A classification of hidden-variable properties

    Adam Brandenburger and Noson Yanofsky 2008 J. Phys. A: Math. Theor. 41 425302

  2. Wormholes in AdS

    Juan Maldacena and Liat Maoz JHEP02(2004)053

  3. Neutrino oscillograms of the Earth: effects of 1-2 mixing and CP-violation

    Evgeny Kh. Akhmedov et al JHEP06(2008)072

  4. Results from the CII-2004 campaign at the BIPM of the BIPM.L-K11 ongoing key comparison

    L Robertsson et al 2005 Metrologia 42 04003

  5. Relationship between clustering and algorithmic phase transitions in the random k-XORSAT model and its NP-complete extensions

    F Altarelli et al 2008 J. Phys.: Conf. Ser. 95 012013

  6. Results from the CI-2005 campaign at the BIPM of the BIPM.L-K11 ongoing key comparison

    L Robertsson et al 2005 Metrologia 42 04004

  7. Magnetic field induced ferroelectric to relaxor crossover in Tb1−xCaxMnO3

    N Mufti et al 2009 J. Phys.: Condens. Matter 21 452203

  8. CFT and black hole entropy in induced gravity

    Valeri Frolov et al JHEP03(2003)038

  9. Boundary description of planckian scattering in curved spacetimes

    Giovanni Arcioni et al JHEP07(2001)035

  10. Super-Pohlmeyer invariants and boundary states for non-abelian gauge fields

    Urs Schreiber JHEP10(2004)035

View by subject




Export








Please login to access our web services, or create an account if you don't yet have one.

You must have cookies enabled in your web browser to be able to login.

Username
Password

Forgotten your password? Get a new one here.