Violation of multiparticle Bell inequalities for low- and high-flux parametric amplification using both vacuum and entangled input states

M. D. Reid, W. J. Munro, and F. De Martini
Phys. Rev. A 66, 033801 – Published 4 September 2002
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Abstract

We show how polarization measurements on the output fields generated by parametric down conversion will reveal a violation of multiparticle Bell inequalities, in the regime of both low- and high-output intensity. In this case, each spatially separated system, upon which a measurement is performed, is comprised of more than one particle. In view of the formal analogy with spin systems, the proposal provides an opportunity to test the predictions of quantum mechanics for spatially separated higher spin states. Here the quantum behavior possible even where measurements are performed on systems of large quantum (particle) number may be demonstrated. Our proposal applies to both vacuum-state signal and idler inputs, and also to the quantum-injected parametric amplifier as studied by De Martini et al. The effect of detector inefficiencies is included, and weaker Bell-Clauser-Horne inequalities are derived to enable realistic tests of local hidden variables with auxiliary assumptions for the multiparticle situation.

  • Received 30 April 2001

DOI:https://doi.org/10.1103/PhysRevA.66.033801

©2002 American Physical Society

Authors & Affiliations

M. D. Reid1, W. J. Munro2, and F. De Martini3

  • 1Physics Department, University of Queensland, Brisbane, Australia
  • 2Hewlett-Packard Laboratories, Filton Road, Stoke Gifford, Bristol, BS34 SQ2, United Kingdom
  • 3Dipartimento di Fisica and INFM, Università di Roma “La Sapienza,” Roma 00185, Italy

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Vol. 66, Iss. 3 — September 2002

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