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Quantum Correlation Calculation Via Semiclassical Concept Using Matlab Model

Received: 10 October 2018     Accepted: 25 October 2018     Published: 26 December 2018
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Abstract

Entanglement is a phenomenon where two particles are linked by some kind of particularity. An electron can be entangled by its spin. Photons can be entangled through its polarization. In this worka made of simple modeling program with simple representing of polarizing beam splitter using quantum probability law, statistic correlation and entanglement argument is established. The work aimed to simulate Eienstien Poldosky Rosen Bom Gedanken experiment using Matlab, and to calculate the Bell's inequality. The obtained results of correlation were above '2' in many trials that considered an obvious violation of classic Bell's inequality value. But the values were not stable, and sometimes the values down to classic value of correlation(less than '2'). However the results obtained at many trials shows obvious indicator of Bell's inequality maximum classic value '2' violation, that by modeling the probability amplitude in Polarizing beam splitter just as Malus's law of intensity.

Published in Mathematical Modelling and Applications (Volume 3, Issue 3)
DOI 10.11648/j.mma.20180303.11
Page(s) 39-43
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), 2018. Published by Science Publishing Group

Keywords

Bell's Inequality, Correlation, Estimation, Violation

References
[1] Graham Jensen, Christopher Marsh and Samantha (2013), Entangled Photons and Bell’s Inequality, University of Rochester, downloaded from:http://www2.optics.rochester.edu/workgroups/lukishova/QuantumOpticsLab/2013/OPT_253/GroupC_Lab1_Sam.pdf, 22/8/2018.
[2] Lorenzo – Maccone (2013), A simple proof of Bell's inequality, Quantum Physics, Am. J. Phys. 81, 85, [doi: 10.1119/1.4823600].
[3] Sergey A. Rashkovskiy (2017), What does a violation of the Bell’s inequality prove?, [arXiv:1701.03700 [physics.gen-ph], pp. 23.
[4] Graham Jensen and Samantha, Single and Entangled Photon Sources, University of Rochester, Rochester NY 14627.
[5] Mathwork.com, http//mathwork.com, visited 18/8/2018.
[6] Guillaume Adenier, Noboru Watanabe, and Andrei Khrennikov (2010) A Fair Sampling Test for Ekert Protocol, [DOI: 10.1142/9789814343763_0031].
[7] Danny Laghi (2013), Prof. Gianluca Grignani Anno EPR Paradox and Bell’s Theorem30 September 2013.
[8] Muhammad Sadiq (2016), Experiments with Entangled Photons: Bell Inequalities, Non-local Games and Bound Entanglement, Stockholm University, ISBN:978-91-7649-358-8.
[9] Niclas Hoglund and Olaf Jacobson (2013) : Bell's Theorem and Inequalities, with Experimental Considerations, SA104X Degree Project in Engineering Physics, Theoretical Physics Royal Institute of Technology (KTH)Supervisor: Patrik Henelius May 20, 2013.
[10] Joost Hoogeveen, Szczepan Kowalczyk, and Maarten van (2004), An Historical and Modern View on Bell’s Inequality, University OF Amsterdam downloaded from: http://www.science.uva.nl/student/scoop/artikels/maart2005/prbellRC3.pdf, 29/7/2018.
[11] Sara Idris Babiker Mustafa (2007), simulation of quantum cryptography based on Ekert protocol, (PhD thesis: Institute of laser. Sudan University of science and technology), Sudan.
Cite This Article
  • APA Style

    Khalid Mohammed Haroun, Ahmed Mohammed Gomaa, Sara IdrisBabiker. (2018). Quantum Correlation Calculation Via Semiclassical Concept Using Matlab Model. Mathematical Modelling and Applications, 3(3), 39-43. https://doi.org/10.11648/j.mma.20180303.11

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    ACS Style

    Khalid Mohammed Haroun; Ahmed Mohammed Gomaa; Sara IdrisBabiker. Quantum Correlation Calculation Via Semiclassical Concept Using Matlab Model. Math. Model. Appl. 2018, 3(3), 39-43. doi: 10.11648/j.mma.20180303.11

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    AMA Style

    Khalid Mohammed Haroun, Ahmed Mohammed Gomaa, Sara IdrisBabiker. Quantum Correlation Calculation Via Semiclassical Concept Using Matlab Model. Math Model Appl. 2018;3(3):39-43. doi: 10.11648/j.mma.20180303.11

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  • @article{10.11648/j.mma.20180303.11,
      author = {Khalid Mohammed Haroun and Ahmed Mohammed Gomaa and Sara IdrisBabiker},
      title = {Quantum Correlation Calculation Via Semiclassical Concept Using Matlab Model},
      journal = {Mathematical Modelling and Applications},
      volume = {3},
      number = {3},
      pages = {39-43},
      doi = {10.11648/j.mma.20180303.11},
      url = {https://doi.org/10.11648/j.mma.20180303.11},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.mma.20180303.11},
      abstract = {Entanglement is a phenomenon where two particles are linked by some kind of particularity. An electron can be entangled by its spin. Photons can be entangled through its polarization. In this worka made of simple modeling program with simple representing of polarizing beam splitter using quantum probability law, statistic correlation and entanglement argument is established. The work aimed to simulate Eienstien Poldosky Rosen Bom Gedanken experiment using Matlab, and to calculate the Bell's inequality. The obtained results of correlation were above '2' in many trials that considered an obvious violation of classic Bell's inequality value. But the values were not stable, and sometimes the values down to classic value of correlation(less than '2'). However the results obtained at many trials shows obvious indicator of Bell's inequality maximum classic value '2' violation, that by modeling the probability amplitude in Polarizing beam splitter just as Malus's law of intensity.},
     year = {2018}
    }
    

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    T1  - Quantum Correlation Calculation Via Semiclassical Concept Using Matlab Model
    AU  - Khalid Mohammed Haroun
    AU  - Ahmed Mohammed Gomaa
    AU  - Sara IdrisBabiker
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    DO  - 10.11648/j.mma.20180303.11
    T2  - Mathematical Modelling and Applications
    JF  - Mathematical Modelling and Applications
    JO  - Mathematical Modelling and Applications
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    EP  - 43
    PB  - Science Publishing Group
    SN  - 2575-1794
    UR  - https://doi.org/10.11648/j.mma.20180303.11
    AB  - Entanglement is a phenomenon where two particles are linked by some kind of particularity. An electron can be entangled by its spin. Photons can be entangled through its polarization. In this worka made of simple modeling program with simple representing of polarizing beam splitter using quantum probability law, statistic correlation and entanglement argument is established. The work aimed to simulate Eienstien Poldosky Rosen Bom Gedanken experiment using Matlab, and to calculate the Bell's inequality. The obtained results of correlation were above '2' in many trials that considered an obvious violation of classic Bell's inequality value. But the values were not stable, and sometimes the values down to classic value of correlation(less than '2'). However the results obtained at many trials shows obvious indicator of Bell's inequality maximum classic value '2' violation, that by modeling the probability amplitude in Polarizing beam splitter just as Malus's law of intensity.
    VL  - 3
    IS  - 3
    ER  - 

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Author Information
  • Department of Physics, Faculty of Radiobiological Sciences & Medical Imaging, Al-Zaiem Al-Azhari University, Khartoum, Sudan

  • Institue of Laser- Sudan University of Science & Technology, Khartoum, Sudan

  • Faculty of Science, Al-Baha University, AL-Baha, Kingdom of Saudi Arabia

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