Percolation of secret correlations in a network

Leverrier, Anthony; Garcia-Patron, Raul

doi:10.1103/PHYSREVA.84.032329

Title: Percolation of secret correlations in a network

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Abstract

In this work, we explore the analogy between entanglement and secret classical correlations in the context of large networks--more precisely, the question of percolation of secret correlations in a network. It is known that entanglement percolation in quantum networks can display a highly nontrivial behavior depending on the topology of the network and on the presence of entanglement between the nodes. Here we show that this behavior, thought to be of a genuine quantum nature, also occurs in a classical context.

Authors:

Leverrier, Anthony; Garcia-Patron, Raul ^[1]

ICFO-Institut de Ciencies Fotoniques, 08860 Castelldefels (Barcelona) (Spain)

Publication Date:: Thu Sep 15 00:00:00 EDT 2011

OSTI Identifier:: 22068674

Resource Type:: Journal Article

Journal Name:: Physical Review. A

Additional Journal Information:: Journal Volume: 84; Journal Issue: 3; Other Information: (c) 2011 American Institute of Physics; Country of input: Syrian Arab Republic; Journal ID: ISSN 1050-2947

Country of Publication:: United States

Language:: English

Subject:: 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 74 ATOMIC AND MOLECULAR PHYSICS; CORRELATIONS; QUANTUM ENTANGLEMENT; TOPOLOGY

Citation Formats


                    Leverrier, Anthony, Garcia-Patron, Raul, and Research Laboratory of Electronics, MIT, Cambridge, MA 02139. Percolation of secret correlations in a network.  United States: N. p., 2011. 
        Web.  doi:10.1103/PHYSREVA.84.032329.

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                    Leverrier, Anthony, Garcia-Patron, Raul, & Research Laboratory of Electronics, MIT, Cambridge, MA 02139. Percolation of secret correlations in a network.  United States.  https://doi.org/10.1103/PHYSREVA.84.032329

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                    Leverrier, Anthony, Garcia-Patron, Raul, and Research Laboratory of Electronics, MIT, Cambridge, MA 02139. 2011.  
        "Percolation of secret correlations in a network".  United States.  https://doi.org/10.1103/PHYSREVA.84.032329.

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@article{osti_22068674,

  title        = {Percolation of secret correlations in a network},

  author       = {Leverrier, Anthony and Garcia-Patron, Raul and Research Laboratory of Electronics, MIT, Cambridge, MA 02139},

  abstractNote = {In this work, we explore the analogy between entanglement and secret classical correlations in the context of large networks--more precisely, the question of percolation of secret correlations in a network. It is known that entanglement percolation in quantum networks can display a highly nontrivial behavior depending on the topology of the network and on the presence of entanglement between the nodes. Here we show that this behavior, thought to be of a genuine quantum nature, also occurs in a classical context.},

  doi          = {10.1103/PHYSREVA.84.032329},

  url          = {https://www.osti.gov/biblio/22068674},
  journal      = {Physical Review. A},

  issn         = {1050-2947},

  number       = 3,

  volume       = 84,

  place        = {United States},

  year         = {Thu Sep 15 00:00:00 EDT 2011},

  month        = {Thu Sep 15 00:00:00 EDT 2011}

}

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