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Title: Entangled mixed-state generation by twin-photon scattering

Abstract

We report experimental results on mixed-state generation by multiple scattering of polarization-entangled photon pairs created from parametric down-conversion. By using a large variety of scattering optical systems we have experimentally obtained entangled mixed states that lie upon and below the Werner curve in the linear entropy-tangle plane. We have also introduced a simple phenomenological model built on the analogy between classical polarization optics and quantum maps. Theoretical predictions from such a model are in full agreement with our experimental findings.

Authors:
; ;  [1];  [1];  [2]
  1. Huygens Laboratory, Leiden University, P. O. Box 9504, 2300 RA Leiden (Netherlands)
  2. (Netherlands)
Publication Date:
OSTI Identifier:
20982265
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. A; Journal Volume: 75; Journal Issue: 3; Other Information: DOI: 10.1103/PhysRevA.75.032319; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ENTROPY; LIGHT SCATTERING; MIXED STATE; MULTI-PHOTON PROCESSES; MULTIPLE SCATTERING; OPTICAL SYSTEMS; PHOTONS; POLARIZATION; QUANTUM ENTANGLEMENT; QUANTUM MECHANICS

Citation Formats

Puentes, G., Aiello, A., Woerdman, J. P., Voigt, D., and Cosine Research bv, Niels Bohrweg 11, 2333 CA Leiden. Entangled mixed-state generation by twin-photon scattering. United States: N. p., 2007. Web. doi:10.1103/PHYSREVA.75.032319.
Puentes, G., Aiello, A., Woerdman, J. P., Voigt, D., & Cosine Research bv, Niels Bohrweg 11, 2333 CA Leiden. Entangled mixed-state generation by twin-photon scattering. United States. doi:10.1103/PHYSREVA.75.032319.
Puentes, G., Aiello, A., Woerdman, J. P., Voigt, D., and Cosine Research bv, Niels Bohrweg 11, 2333 CA Leiden. Thu . "Entangled mixed-state generation by twin-photon scattering". United States. doi:10.1103/PHYSREVA.75.032319.
@article{osti_20982265,
title = {Entangled mixed-state generation by twin-photon scattering},
author = {Puentes, G. and Aiello, A. and Woerdman, J. P. and Voigt, D. and Cosine Research bv, Niels Bohrweg 11, 2333 CA Leiden},
abstractNote = {We report experimental results on mixed-state generation by multiple scattering of polarization-entangled photon pairs created from parametric down-conversion. By using a large variety of scattering optical systems we have experimentally obtained entangled mixed states that lie upon and below the Werner curve in the linear entropy-tangle plane. We have also introduced a simple phenomenological model built on the analogy between classical polarization optics and quantum maps. Theoretical predictions from such a model are in full agreement with our experimental findings.},
doi = {10.1103/PHYSREVA.75.032319},
journal = {Physical Review. A},
number = 3,
volume = 75,
place = {United States},
year = {Thu Mar 15 00:00:00 EDT 2007},
month = {Thu Mar 15 00:00:00 EDT 2007}
}
  • Three-photon entangled states such as a Greenberger-Horne-Zeilinger state can be produced by mixing a weak coherent state with parametric down-conversion. Quantum interference between the two states is responsible for the cancellation of unwanted photon states. Two schemes of interference are considered and both are shown to produce the entangled state.
  • The nonlinear {chi}{sup (2)} Mach-Zehnder interferometer is proposed as a device for conditional generation of a modified coherent nonclassical state. We show that the generated macroscopic state exhibits nonclassical effects, such as squeezing, photon antibunching, and sub-Poissonian statistics. The modified coherent state generates a macroscopic entangled state. The scheme works without the photon number resolving detection but requires high-efficiency photodetectors. We explain the mechanism of generation of the modified coherent non-classical state.
  • We present a general theoretical method to generate maximally entangled mixed states of a pair of photons initially prepared in the singlet polarization state. This method requires only local operations upon a single photon of the pair and exploits spatial degrees of freedom to induce decoherence. We report also experimental confirmation of these theoretical results.
  • We propose two interesting methods of generating the four-photon W state. These methods use parametric down-conversion processes, linear optical elements, and commercial photon detectors, which are readily feasible under current technology. They can also be used to generate the three-photon W state, the three-photon Greenberger-Horne-Zeilinger state, and the three-photon maximally entangled photon-number state (a typical photon-number entanglement state) by simply changing some experimental components or their parameters. Moreover, assuming we have photon number-resolving detectors, these methods can develop into methods that generate a general n-photon W state. They are expected to become powerful tools for experimental investigations of multipartite entanglementmore » and its applications to quantum information processing.« less
  • We obtain a four-photon polarization-entangled state with a visibility as high as (95.35{+-}0.45)% directly from a single down-conversion source. A success probability of (81.54{+-}1.38)% is observed by applying this entangled state to realize a four-party quantum communication complexity scenario, which comfortably surpasses the classical limit of 50%. As a comparison, two Einstein-Podolsky-Rosen pairs are shown to implement the scenario with a success probability of (73.89{+-}1.33)%. This four-photon state can also be used to fulfill decoherence-free quantum information processing and other advanced quantum communication schemes.