Manuscript Number : SHISRRJ192129

Matlab Modeling of Polarizing Beam Splitter as Hadamard Gate

Authors(4) :-A. M. Gomaa, Kh. M. Haroun, Yousif H. Alsheikh, S. I. Babiker

Polarizing beam splitter is an important device in quantum information and quantum cryptography. Polarizing beam splitter in the case of single photon input works as single bit gate, that takes a single qubit and transform it into another one. The polarizing beam splitter transformation is similar to Hadamard Gate transformation in quantum information, the two tern basis states into superposition states. This work aimed to simulate a polarizing beam splitter using MATLAB code, by treating the polarizing beam splitter as a Hadamard Gate. And then using it for calculation the Bell's inequality. The obtained results show an excellent average value of Bell's inequality (above 2.7) , and the suitable number of entangled photon pairs used to calculate the Bell's inequality is above 600.

Authors and Affiliations

A. M. Gomaa
Institute of laser- Sudan University of Science & Technology, Sudan
Kh. M. Haroun
Department of Physics, Faculty of Radiobiological Sciences & Medical Imaging, Al-Zaiem Al-Azhari University, Sudan and Department of Basic Sciences, Gezira College of Technology, Sudan
Yousif H. Alsheikh
Department of Applied Physics& Mathematics, Omdurman Ahlia University, Sudan
S. I. Babiker
Faculty of Science, Al-Baha University, KSA

CHSH Bell's Inequality, Beam Splitter, Hadamard Gate, Entangled

  1. Tyan Rong-Chung, Atul A. Salvekar, Pang-Chen Sun et al. (1997), Design, fabrication, and characterization of form-birefringent multilayer polarizing beam splitter J. Opt. Soc. Am. A, Vol. 14, No. 7, pp.1627-1636
  2. Lara Pajewski, Riccardo Borghi, Giuseppe Schettini, Fabrizio Frezza, and
  3. Massimo Santarsiero, Design of a binary grating with subwavelength
  4. features that acts as a polarizing beam splitter, APPLIED OPTICS Vol. 40, No. 32, pp. 5898-5905
  5. Anton Zeilinger (2017), Light for the quantum. Entangled photons and their applications: a very personal perspective, Physica Scripta, Volume 92, Number 7, visited [online] available from: http://iopscience.iop.org/article/10.1088/1402-4896/aa736d
  6. A. I. Lvovsky (2018), Quantum Physics : An Introduction Based on Photons, Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
  7. K Banaszek (2012), Quantum Mechanics 1/2, [online ] available from:
  8. http://www.fuw.edu.pl/~demko/Teksty/ik05/2012/qi12.pdf, visited 2/9/2018
  9. Stefan Rotter and Sylvain Gigan (2017), Light fields in complex media: mesoscopic scattering meets wave control, PACS numbers: 42.25.Bs, 42.25.Hz, 42.25.Fx from: https://arxiv.org/pdf/1702.05395.pdf
  10. Peter Pickl (2014), Interpretations of Quantum Mechanics, EPJ Web of Conferences 71, 00110, pp.1-12
  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
  12. Steven M. Girvin (2013), Basic Concepts in Quantum Information, World Scientific Review Volume - 9.75in x 6.5in pp.1-10

Publication Details

Published in : Volume 2 | Issue 1 | January-February 2019
Date of Publication : 2019-02-28
License:  This work is licensed under a Creative Commons Attribution 4.0 International License.
Page(s) : 154-159
Manuscript Number : SHISRRJ192129
Publisher : Shauryam Research Institute

ISSN : 2581-6306

Cite This Article :

A. M. Gomaa, Kh. M. Haroun, Yousif H. Alsheikh, S. I. Babiker, "Matlab Modeling of Polarizing Beam Splitter as Hadamard Gate", Shodhshauryam, International Scientific Refereed Research Journal (SHISRRJ), ISSN : 2581-6306, Volume 2, Issue 1, pp.154-159, January-February.2019
URL : https://shisrrj.com/SHISRRJ192129

Article Preview