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The Test of Entanglement of Polarization States of a Semi-Classical Optical Parametric Oscillator

Received: 29 March 2017     Accepted: 10 April 2017     Published: 8 May 2017
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Abstract

We study the dynamical continuous variable entanglement in a semi-classical Optical parametric oscillator (OPO). The general time evolving photon polarization state vectors arising from exact analytical solutions of Heisenberg’s equations of the system are used to obtain the photon polarization Bell state vectors. The reduced density matrices of photon polarization Bell state vectors of the semi-classical OPO produce a greater violation of CHSH Bell’s inequality beyond the Cirel’son’s inequality.

Published in American Journal of Modern Physics (Volume 6, Issue 3)
DOI 10.11648/j.ajmp.20170603.11
Page(s) 37-42
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2017. Published by Science Publishing Group

Keywords

Optical Parametric Oscillator, Bell State Vectors, Reduced Density Matrices, Entanglement

References
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[4] Takeda T. (2014). "Deterministic quantum teleportation of photonic quantum bits by a hybrid technique". Nature 500, 315. DOI: 10. 1038/nature 12366.
[5] Adams W. (2016). China’s Quantum Cryptography: Tales from (Quantum) Crypt. National law-review.http://www.natlawreview.com/article/china-s-quantum-cryptography-tales-quant-crypt. accessed on 5/2/2017.
[6] Villar S. and Cassemiro N. (2005). ‘’Generation of Bright Two-Color Continuous Variable Entanglement," Phys. Rev. Lett. 95, 243603.
[7] Villar S. and Cassemiro N. (2006). Entanglement in the above-threshold optical parametric oscillator. http://arxiv. org/pdf/quant-ph/0610208. accessed on 2/2/2015.
[8] Su X. and Tan A. (2006). ‘’Experimental demonstration of quantum entanglement between frequency-nondegenerate optical twin beams," Opt. Lett. 31, 1133. DOI:10. 1364/OL.
[9] Shahrokhshahi R. and Pfister O. (2012). Large-scale multipartite entanglement in the quantum optical frequency comb of a depleted-pump optical parametric oscillator. http://arxiv. org/pdf/ 1110. 6450. accessed on 12/6/2015.
[10] Johansson R. (2014). Entangled-state generation and Bell inequality violations in nanomechanical resonators. Phys. Rev. B90, 174307.
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[12] Eberhard P. H. (1999). Violation of Bell’s inequality. Phys. Rev. A., 60, RR773.
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Cite This Article
  • APA Style

    Gerald Mugaya Lisamadi, Boniface Otieno Ndinya, Joseph Akeyo Omolo. (2017). The Test of Entanglement of Polarization States of a Semi-Classical Optical Parametric Oscillator. American Journal of Modern Physics, 6(3), 37-42. https://doi.org/10.11648/j.ajmp.20170603.11

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    ACS Style

    Gerald Mugaya Lisamadi; Boniface Otieno Ndinya; Joseph Akeyo Omolo. The Test of Entanglement of Polarization States of a Semi-Classical Optical Parametric Oscillator. Am. J. Mod. Phys. 2017, 6(3), 37-42. doi: 10.11648/j.ajmp.20170603.11

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    AMA Style

    Gerald Mugaya Lisamadi, Boniface Otieno Ndinya, Joseph Akeyo Omolo. The Test of Entanglement of Polarization States of a Semi-Classical Optical Parametric Oscillator. Am J Mod Phys. 2017;6(3):37-42. doi: 10.11648/j.ajmp.20170603.11

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  • @article{10.11648/j.ajmp.20170603.11,
      author = {Gerald Mugaya Lisamadi and Boniface Otieno Ndinya and Joseph Akeyo Omolo},
      title = {The Test of Entanglement of Polarization States of a Semi-Classical Optical Parametric Oscillator},
      journal = {American Journal of Modern Physics},
      volume = {6},
      number = {3},
      pages = {37-42},
      doi = {10.11648/j.ajmp.20170603.11},
      url = {https://doi.org/10.11648/j.ajmp.20170603.11},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajmp.20170603.11},
      abstract = {We study the dynamical continuous variable entanglement in a semi-classical Optical parametric oscillator (OPO). The general time evolving photon polarization state vectors arising from exact analytical solutions of Heisenberg’s equations of the system are used to obtain the photon polarization Bell state vectors. The reduced density matrices of photon polarization Bell state vectors of the semi-classical OPO produce a greater violation of CHSH Bell’s inequality beyond the Cirel’son’s inequality.},
     year = {2017}
    }
    

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    AB  - We study the dynamical continuous variable entanglement in a semi-classical Optical parametric oscillator (OPO). The general time evolving photon polarization state vectors arising from exact analytical solutions of Heisenberg’s equations of the system are used to obtain the photon polarization Bell state vectors. The reduced density matrices of photon polarization Bell state vectors of the semi-classical OPO produce a greater violation of CHSH Bell’s inequality beyond the Cirel’son’s inequality.
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    IS  - 3
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Author Information
  • Department of Physics and Materials Science, Maseno University, Maseno, Kenya

  • Department of Physics, Masinde Muliro University of Science and Technology, Kakamega, Kenya

  • Department of Physics and Materials Science, Maseno University, Maseno, Kenya

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