Abstract
We propose a new construction of Bell states using modified spin coherent states and present the modified spin coherent state of the SU(2) group, along with the discussion of the states proposed.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
C. H. Bennett, G. Brassard, C. Crepeau, et al., Phys. Rev. Lett., 70, 1895 (1992).
C. H. Bennett and S. J. Wiesner, Phys. Rev. Lett., 69, 2881 (1993).
M. Zukowski, A. Zeilinger, M. A. Horne, and A. Ekert, Phys. Rev. Lett., 71, 4287 (1993).
P. Kok, P. C. Williams, and J. P. Dowling, Phys. Rev. A, 68, 022301 (2003).
A. El Allati, N. Metwally, and Y. Hassouni, Opt. Commun., 284, 519 (2011).
A. El Allati, M. El Baz, and Y. Hassouni, Quantum Inform. Process., 10, 589 (2011).
A. Meslouhi and Y. Hassouni, Quantum Inform. Process., 12, 2603 (2013).
E. Schrӧdinger, Naturwissenschaften, 14, 664 (1926).
J. R. Klauder and B. Skagerstam, Coherent States: Applications in Physics and Mathematical Physics, World Scientific, Singapore (1985).
J. R. Klauder, Ann. Phys., 11, 123 (1960).
R. J. Glauber, Phys. Rev., 130, 2529 (1963).
R. J. Glauber, Phys. Rev., 131, 2766 (1963).
A. M. Perelomov, Commun. Math. Phys., 26, 222 (1972).
A. M. Perelomov, Generalized Coherent States and Their Applications, Springer, New York (1986).
A. Inomata, H. Kuratsuji, and C. Gerry, Path Integrals and Coherent States of SU(2) and SU(1, 1), World Scientific, Singapore (1992).
16. J. P. Gazeau and B. Champagne, in: Y. Saint-Aubin and L. Vinet (Eds.), Algebraic Methods in Physics, CRM Series in Theoretical and Mathematical Physics, Springer Verlag, Berlin (2001), Vol. 3.
B. Jurco, Lett. Math. Phys., 21, 51 (1991).
D. Ellinas, J. Phys. A: Math. Gen., 26, 543 (1993).
M. El Baz, Y. Hassouni, and F. Madouri, Rep. Math. Phys., 50, 263 (2002).
M. El Baz and Y. Hassouni, Int. J. Mod. Phys. A, 18, 3015 (2003).
Y. Hassouni, E. M. F. Curado, M. A. Rego-Monteiro, Phys. Rev. A, 71, 022104 (2005).
V. G. Drinfeld, “Quantum groups,” in: Proceedings of the International Congress in Mathematics, American Mathematical Society, Berkeley (1966), p. 798.
M. Jimbo, Commun. Math. Phys., 102, 537 (1986).
J. Katriel and A. I. Solomon, Phys. Rev. A, 49, 5149 (1994).
L. D. Faddeev, N. Yu. Reshetikhin, and L. A. Takhtajan, Leningr. Math. J., 1, 193 (1990).
D. Markham and V. Vedral, Phys. Rev. A, 67, 042113 (2003).
C. C. Gerry and A. Benmoussa, Phys. Rev. A, 71, 062319 (2005).
H. Weinfurter, Europhys. Lett., 25, 559 (1994).
M. Michler, K. Mattle, H. Weinfurter, and A. Zeilinger, Phys. Rev., 53, R1209 (1996).
C. Brif, A. Mann, and M. Revzen, Phys. Rev. A, 57, 742 (1998).
K. Fujii, “A relation between coherent states and generalized Bell states,” arXiv quant-ph/0105077 (2001).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Amellal, H., Meslouhi, A., El Allati, A. et al. New Construction of Bell States Using Entangled Modified Spin Coherent States. J Russ Laser Res 37, 62–68 (2016). https://doi.org/10.1007/s10946-016-9545-0
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10946-016-9545-0