Hardy's proof of nonlocality in the presence of noise

Ghirardi, GianCarlo; Marinatto, Luca

doi:10.1103/PHYSREVA.74.062107

Title: Hardy's proof of nonlocality in the presence of noise

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Abstract

We extend the validity of Hardy's nonlocality without inequalities proof to cover the case of special one-parameter classes of nonpure statistical operators. These mixed states are obtained by mixing the Hardy states with a completely chaotic noise or with a colored noise and they represent a realistic description of imperfect preparation processes of (pure) Hardy states in nonlocality experiments. Within such a framework we are able to exhibit a precise range of values of the parameter measuring the noise affecting the nonoptimal preparation of an arbitrary Hardy state, for which it is still possible to put into evidence genuine nonlocal effects. Equivalently, our work exhibits particular classes of bipartite mixed states whose constituents do not admit any local and deterministic hidden variable model reproducing the quantum mechanical predictions.

Authors:

Ghirardi, GianCarlo ^[1]; Marinatto, Luca ^[1]

Department of Theoretical Physics, University of Trieste (Italy)

Publication Date:: Fri Dec 15 00:00:00 EST 2006

OSTI Identifier:: 20976423

Resource Type:: Journal Article

Journal Name:: Physical Review. A

Additional Journal Information:: Journal Volume: 74; Journal Issue: 6; Other Information: DOI: 10.1103/PhysRevA.74.062107; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1050-2947

Country of Publication:: United States

Language:: English

Subject:: 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; CHAOS THEORY; FORECASTING; HIDDEN VARIABLES; MIXED STATE; MIXING; NOISE; QUANTUM ENTANGLEMENT; QUANTUM MECHANICS; SIMULATION

Citation Formats


                    Ghirardi, GianCarlo, Istituto Nazionale di Fisica Nucleare, Sezione di Trieste, International Centre for Theoretical Physics 'Abdus Salam', Trieste, Marinatto, Luca, and Istituto Nazionale di Fisica Nucleare, Sezione di Trieste. Hardy's proof of nonlocality in the presence of noise.  United States: N. p., 2006. 
        Web.  doi:10.1103/PHYSREVA.74.062107.

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                    Ghirardi, GianCarlo, Istituto Nazionale di Fisica Nucleare, Sezione di Trieste, International Centre for Theoretical Physics 'Abdus Salam', Trieste, Marinatto, Luca, & Istituto Nazionale di Fisica Nucleare, Sezione di Trieste. Hardy's proof of nonlocality in the presence of noise.  United States.  https://doi.org/10.1103/PHYSREVA.74.062107

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                    Ghirardi, GianCarlo, Istituto Nazionale di Fisica Nucleare, Sezione di Trieste, International Centre for Theoretical Physics 'Abdus Salam', Trieste, Marinatto, Luca, and Istituto Nazionale di Fisica Nucleare, Sezione di Trieste. 2006.  
        "Hardy's proof of nonlocality in the presence of noise".  United States.  https://doi.org/10.1103/PHYSREVA.74.062107.

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@article{osti_20976423,

  title        = {Hardy's proof of nonlocality in the presence of noise},

  author       = {Ghirardi, GianCarlo and Istituto Nazionale di Fisica Nucleare, Sezione di Trieste and International Centre for Theoretical Physics 'Abdus Salam', Trieste and Marinatto, Luca and Istituto Nazionale di Fisica Nucleare, Sezione di Trieste},

  abstractNote = {We extend the validity of Hardy's nonlocality without inequalities proof to cover the case of special one-parameter classes of nonpure statistical operators. These mixed states are obtained by mixing the Hardy states with a completely chaotic noise or with a colored noise and they represent a realistic description of imperfect preparation processes of (pure) Hardy states in nonlocality experiments. Within such a framework we are able to exhibit a precise range of values of the parameter measuring the noise affecting the nonoptimal preparation of an arbitrary Hardy state, for which it is still possible to put into evidence genuine nonlocal effects. Equivalently, our work exhibits particular classes of bipartite mixed states whose constituents do not admit any local and deterministic hidden variable model reproducing the quantum mechanical predictions.},

  doi          = {10.1103/PHYSREVA.74.062107},

  url          = {https://www.osti.gov/biblio/20976423},
  journal      = {Physical Review. A},

  issn         = {1050-2947},

  number       = 6,

  volume       = 74,

  place        = {United States},

  year         = {Fri Dec 15 00:00:00 EST 2006},

  month        = {Fri Dec 15 00:00:00 EST 2006}

}

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