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Title: Nonlocality of a single photon: Paths to an Einstein-Podolsky-Rosen-steering experiment

Abstract

A single-photon incident on a beam splitter produces an entangled field state, and in principle could be used to violate a Bell inequality, but such an experiment (without postselection) is beyond the reach of current experiments. Here we consider the somewhat simpler task of demonstrating Einstein-Podolsky-Rosen (EPR) steering with a single photon (also without postselection). We demonstrate that Alice's choice of measurement on her portion of the entangled state can affect Bob's portion of the entangled state in his laboratory, in a sense rigorously defined by us and Doherty [Phys. Rev. Lett. 98, 140402 (2007)]. Previous work by Lvovsky and coworkers [Phys. Rev. Lett. 92, 047903 (2004)] has addressed this phenomenon (which they called remote preparation) experimentally using homodyne measurements on a single photon. Here we show that, unfortunately, their experimental parameters do not meet the bounds necessary for a rigorous demonstration of EPR steering with a single photon. However, we also show that modest improvements in the experimental parameters, and the addition of photon counting to the arsenal of Alice's measurements, would be sufficient to allow such a demonstration.

Authors:
;  [1]
  1. Centre for Quantum Computation and Communication Technology (Australian Research Council), Centre for Quantum Dynamics, Griffith University, Brisbane Queensland 4111 (Australia)
Publication Date:
OSTI Identifier:
22038593
Resource Type:
Journal Article
Journal Name:
Physical Review. A
Additional Journal Information:
Journal Volume: 84; Journal Issue: 1; Other Information: (c) 2011 American Institute of Physics; 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; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; BEAM SPLITTING; BELL THEOREM; LOCALITY; PHOTONS; QUANTUM ENTANGLEMENT

Citation Formats

Jones, S. J., and Wiseman, H. M. Nonlocality of a single photon: Paths to an Einstein-Podolsky-Rosen-steering experiment. United States: N. p., 2011. Web. doi:10.1103/PHYSREVA.84.012110.
Jones, S. J., & Wiseman, H. M. Nonlocality of a single photon: Paths to an Einstein-Podolsky-Rosen-steering experiment. United States. doi:10.1103/PHYSREVA.84.012110.
Jones, S. J., and Wiseman, H. M. Fri . "Nonlocality of a single photon: Paths to an Einstein-Podolsky-Rosen-steering experiment". United States. doi:10.1103/PHYSREVA.84.012110.
@article{osti_22038593,
title = {Nonlocality of a single photon: Paths to an Einstein-Podolsky-Rosen-steering experiment},
author = {Jones, S. J. and Wiseman, H. M.},
abstractNote = {A single-photon incident on a beam splitter produces an entangled field state, and in principle could be used to violate a Bell inequality, but such an experiment (without postselection) is beyond the reach of current experiments. Here we consider the somewhat simpler task of demonstrating Einstein-Podolsky-Rosen (EPR) steering with a single photon (also without postselection). We demonstrate that Alice's choice of measurement on her portion of the entangled state can affect Bob's portion of the entangled state in his laboratory, in a sense rigorously defined by us and Doherty [Phys. Rev. Lett. 98, 140402 (2007)]. Previous work by Lvovsky and coworkers [Phys. Rev. Lett. 92, 047903 (2004)] has addressed this phenomenon (which they called remote preparation) experimentally using homodyne measurements on a single photon. Here we show that, unfortunately, their experimental parameters do not meet the bounds necessary for a rigorous demonstration of EPR steering with a single photon. However, we also show that modest improvements in the experimental parameters, and the addition of photon counting to the arsenal of Alice's measurements, would be sufficient to allow such a demonstration.},
doi = {10.1103/PHYSREVA.84.012110},
journal = {Physical Review. A},
issn = {1050-2947},
number = 1,
volume = 84,
place = {United States},
year = {2011},
month = {7}
}