Entanglement conditions for two-mode states: Applications

Hillery, Mark; Zubairy, M Suhail

doi:10.1103/PHYSREVA.74.032333

Title: Entanglement conditions for two-mode states: Applications

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Abstract

We examine the implications of several recently derived conditions [Hillery and Zubairy, Phys. Rev. Lett. 96, 050503 (2006)] for determining when a two-mode state is entangled. We first find examples of non-Gaussian states that satisfy these conditions. We then apply the entanglement conditions to the study of several linear devices, the beam splitter, the parametric amplifier, and the linear phase-insensitive amplifier. For the first two, we find conditions on the input states that guarantee that the output states are entangled. For the linear amplifier, we determine in the limit of high and no gain, when an entangled input leads to an entangled output. Finally, we show how application of two two-mode entanglement conditions to a three-mode state can serve as a test of genuine three-mode entanglement.

Authors:

Hillery, Mark; Zubairy, M Suhail ^[1]

Department of Physics, Hunter College of CUNY, 695 Park Avenue, New York, New York 10021 (United States)

Publication Date:: Fri Sep 15 00:00:00 EDT 2006

OSTI Identifier:: 20857686

Resource Type:: Journal Article

Journal Name:: Physical Review. A

Additional Journal Information:: Journal Volume: 74; Journal Issue: 3; Other Information: DOI: 10.1103/PhysRevA.74.032333; (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:: 74 ATOMIC AND MOLECULAR PHYSICS; BEAM SPLITTING; ENERGY LEVELS; GAIN; OPTICS; PARAMETRIC AMPLIFIERS; QUANTUM ENTANGLEMENT; QUANTUM MECHANICS; QUANTUM NUMBERS

Citation Formats


                    Hillery, Mark, Zubairy, M Suhail, and Institute for Quantum Studies and Department of Physics, Texas A and M University, College Station, Texas 77843. Entanglement conditions for two-mode states: Applications.  United States: N. p., 2006. 
        Web.  doi:10.1103/PHYSREVA.74.032333.

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                    Hillery, Mark, Zubairy, M Suhail, & Institute for Quantum Studies and Department of Physics, Texas A and M University, College Station, Texas 77843. Entanglement conditions for two-mode states: Applications.  United States.  https://doi.org/10.1103/PHYSREVA.74.032333

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                    Hillery, Mark, Zubairy, M Suhail, and Institute for Quantum Studies and Department of Physics, Texas A and M University, College Station, Texas 77843. 2006.  
        "Entanglement conditions for two-mode states: Applications".  United States.  https://doi.org/10.1103/PHYSREVA.74.032333.

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@article{osti_20857686,

  title        = {Entanglement conditions for two-mode states: Applications},

  author       = {Hillery, Mark and Zubairy, M Suhail and Institute for Quantum Studies and Department of Physics, Texas A and M University, College Station, Texas 77843},

  abstractNote = {We examine the implications of several recently derived conditions [Hillery and Zubairy, Phys. Rev. Lett. 96, 050503 (2006)] for determining when a two-mode state is entangled. We first find examples of non-Gaussian states that satisfy these conditions. We then apply the entanglement conditions to the study of several linear devices, the beam splitter, the parametric amplifier, and the linear phase-insensitive amplifier. For the first two, we find conditions on the input states that guarantee that the output states are entangled. For the linear amplifier, we determine in the limit of high and no gain, when an entangled input leads to an entangled output. Finally, we show how application of two two-mode entanglement conditions to a three-mode state can serve as a test of genuine three-mode entanglement.},

  doi          = {10.1103/PHYSREVA.74.032333},

  url          = {https://www.osti.gov/biblio/20857686},
  journal      = {Physical Review. A},

  issn         = {1050-2947},

  number       = 3,

  volume       = 74,

  place        = {United States},

  year         = {Fri Sep 15 00:00:00 EDT 2006},

  month        = {Fri Sep 15 00:00:00 EDT 2006}

}

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