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Equation Chapter 1 Section 1 Distillation of Two-Photon Entanglement by Anisotropic Metamaterial

Received: 18 November 2015     Published: 18 November 2015
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Abstract

By using the Green-function approach to the quantization of the electromagnetic field, the procrustean distillation for quantum entanglement by the anisotropic magnetodielectric metamaterial has been proposed. We study the distillation of the non-maximally entangled pure states by a single layer of the anisotropic magnetodielectric metamaterial. The Clauser–Horne–Shimony–Holt parameter S for the entangled pure state has been calculated theoretically. It is shown that near the resonant peak of transmission for the y-polarized photon, the parameter S for the output states get the maximal value. Near the resonant peak of the transmission for the x-polarized photon, the entanglement of the output state is lower than the input state. For the frequency far from the resonant peak, the entanglement of the output state is dependent on the input state. Finally we find that the maximally entangled output is always appearing near the resonant frequency of the transmission for the y-polarized photon, no matter how low the entanglement of the input state is. This means that our method to realize the quantum distillation is effective.

Published in International Journal of Materials Science and Applications (Volume 4, Issue 5)
DOI 10.11648/j.ijmsa.20150405.22
Page(s) 360-363
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), 2015. Published by Science Publishing Group

Keywords

Anisotropic Metamaterial, Magnetodielectric, Quantization, Entanglement Distillation

References
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[9] S. Sun, X. Huang, and L. Zhou, “Two-dimensional complete photonic gaps from layered periodic structures containing anisotropic left-handed metamaterials,” Phys. Rev. E 75,066602 (2007).
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[12] Y. Dong, C. Liu, “Electromagnetic field quantization and input-output relation for anisotropic magnetodielectric metamaterial,” Chin. Phys. B 24, 064206 (2015).
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    Yunxia Dong. (2015). Equation Chapter 1 Section 1 Distillation of Two-Photon Entanglement by Anisotropic Metamaterial. International Journal of Materials Science and Applications, 4(5), 360-363. https://doi.org/10.11648/j.ijmsa.20150405.22

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    ACS Style

    Yunxia Dong. Equation Chapter 1 Section 1 Distillation of Two-Photon Entanglement by Anisotropic Metamaterial. Int. J. Mater. Sci. Appl. 2015, 4(5), 360-363. doi: 10.11648/j.ijmsa.20150405.22

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    AMA Style

    Yunxia Dong. Equation Chapter 1 Section 1 Distillation of Two-Photon Entanglement by Anisotropic Metamaterial. Int J Mater Sci Appl. 2015;4(5):360-363. doi: 10.11648/j.ijmsa.20150405.22

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  • @article{10.11648/j.ijmsa.20150405.22,
      author = {Yunxia Dong},
      title = {Equation Chapter 1 Section 1 Distillation of Two-Photon Entanglement by Anisotropic Metamaterial},
      journal = {International Journal of Materials Science and Applications},
      volume = {4},
      number = {5},
      pages = {360-363},
      doi = {10.11648/j.ijmsa.20150405.22},
      url = {https://doi.org/10.11648/j.ijmsa.20150405.22},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijmsa.20150405.22},
      abstract = {By using the Green-function approach to the quantization of the electromagnetic field, the procrustean distillation for quantum entanglement by the anisotropic magnetodielectric metamaterial has been proposed. We study the distillation of the non-maximally entangled pure states by a single layer of the anisotropic magnetodielectric metamaterial. The Clauser–Horne–Shimony–Holt parameter S for the entangled pure state has been calculated theoretically. It is shown that near the resonant peak of transmission for the y-polarized photon, the parameter S for the output states get the maximal value. Near the resonant peak of the transmission for the x-polarized photon, the entanglement of the output state is lower than the input state. For the frequency far from the resonant peak, the entanglement of the output state is dependent on the input state. Finally we find that the maximally entangled output is always appearing near the resonant frequency of the transmission for the y-polarized photon, no matter how low the entanglement of the input state is. This means that our method to realize the quantum distillation is effective.},
     year = {2015}
    }
    

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  • TY  - JOUR
    T1  - Equation Chapter 1 Section 1 Distillation of Two-Photon Entanglement by Anisotropic Metamaterial
    AU  - Yunxia Dong
    Y1  - 2015/11/18
    PY  - 2015
    N1  - https://doi.org/10.11648/j.ijmsa.20150405.22
    DO  - 10.11648/j.ijmsa.20150405.22
    T2  - International Journal of Materials Science and Applications
    JF  - International Journal of Materials Science and Applications
    JO  - International Journal of Materials Science and Applications
    SP  - 360
    EP  - 363
    PB  - Science Publishing Group
    SN  - 2327-2643
    UR  - https://doi.org/10.11648/j.ijmsa.20150405.22
    AB  - By using the Green-function approach to the quantization of the electromagnetic field, the procrustean distillation for quantum entanglement by the anisotropic magnetodielectric metamaterial has been proposed. We study the distillation of the non-maximally entangled pure states by a single layer of the anisotropic magnetodielectric metamaterial. The Clauser–Horne–Shimony–Holt parameter S for the entangled pure state has been calculated theoretically. It is shown that near the resonant peak of transmission for the y-polarized photon, the parameter S for the output states get the maximal value. Near the resonant peak of the transmission for the x-polarized photon, the entanglement of the output state is lower than the input state. For the frequency far from the resonant peak, the entanglement of the output state is dependent on the input state. Finally we find that the maximally entangled output is always appearing near the resonant frequency of the transmission for the y-polarized photon, no matter how low the entanglement of the input state is. This means that our method to realize the quantum distillation is effective.
    VL  - 4
    IS  - 5
    ER  - 

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Author Information
  • School of Electrical and Electronic Engineering, North China Electric Power University, Beijing, China

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