Abstract
Using the technique of integration within an ordered product (IWOP) of operators we derive a new kind of bipartite entangled state |β 1,β 2〉, which is perfectly different from the preceding entangled states in construction. We also present main properties, generation scheme of |β 1,β 2〉, superposition of |β 1,β 2〉, Wigner function and some applications of |β 1,β 2〉 in quantum optics.
Similar content being viewed by others
References
Macchiavello, C., Palma, G.M., Zeilinger, A. (eds.): Quantum Computation and Quantum Information Theory. World Scientific, Singapore (2001)
Bose, S., Verdral, V., Knight, P.L.: Phys. Rev. A 57, 822 (1998)
Furusawa, A., Sorensen, J.L., Braunstein, S.L., Fuchs, C.A., Kimble, H.J., Polzik, E.J.: Science 282, 706 (1998)
Thapliyal, A.V.: Phys. Rev. A 59, 3336 (1999)
Braunstein, S.L., Kimble, H.J.: Phys. Rev. Lett. 80, 869 (1998)
Einstein, A., Podolsky, B., Rosen, N.: Phys. Rev. 47, 777 (1935)
Fan, H.Y., Klauder, J.R.: Phys. Rev. A 49, 704 (1994)
Fan, H.Y., Ye, X.: Phys. Rev. A 51, 3343 (1995)
Fan, H.Y., Chen, B.Z.: Phys. Rev. A 53, 2948 (1996)
Fan, H.Y., Chen, J.: Eur. Phys. J. D 23, 437 (2003)
Fan, H.Y., Sun, M.Z.: J. Opt. B, Quantum Semiclass. Opt. 4, 228 (2002)
Fan, H.Y.: Int. J. Mod. Phys. B 18, 233 (2004)
Fan, H.Y., Li, C.: Phys. Lett. A 319, 13 (2003)
Fan, H.Y., Lu, H.L.: Int. J. Mod. Phys. B 19, 799 (2005)
Fan, H.Y., Lu, H.L., Fan, Y.: Ann. Phys. 321, 480 (2006)
Fan, H.Y., Wünsche, A.: J. Opt. B, Quantum Semiclass. Opt. 7, 88 (2005)
Fan, H.Y.: Ann. Phys. 323, 500 (2008)
Fan, H.Y., Hu, L.Y.: Mod. Phys. Lett. B 22, 2435 (2008)
Fan, H.Y.: Ann. Phys. 323, 1502 (2008)
Fan, H.Y., Fan, Y.: Phys. Lett. A 246, 242 (1998)
Xu, S.M., Xu, X.L., Li, H.Q.: Commun. Theor. Phys. 52, 808 (2009)
Hu, L.Y., Fan, H.Y.: J. Phys. B, At. Mol. Opt. Phys. 40, 2009 (2007)
Fan, H.Y., Chen, J.H., Song, T.Q.: Int. J. Theor. Phys. 42, 1773 (2003)
Hu, L.Y., Fan, H.Y.: Phys. Rev. A 80, 022115 (2009)
Fan, H.Y., Yang, Y.L.: Eur. Phys. J. D 39, 107 (2006)
Preskill, J.: Quantum Information and Computation. California Institute of Technology, Pasadena (1998)
Cochrane, P.T., Milburn, G.J.: Phys. Rev. A 64, 062312 (2001)
Glauber, R.J.: Phys. Rev. 131, 2529 (1963)
Fan, H.Y.: Entangled State Representations in Quantum Mechanics and Their Applications. Shanghai Jiao Tong University Press, Shanghai (2001)
Loudon, R., Knight, P.L.: J. Mod. Opt. 34, 709 (1987)
Wu, Y., Yang, X.: Phys. Rev. Lett. 98, 013601 (2007)
Author information
Authors and Affiliations
Corresponding author
Additional information
Project supported by the National Natural Science Foundation of China (Grant No. 10574060), the Natural Science Foundation of Shandong Province, China (Grants No. Y2008A23 and No. ZR2010AQ027) and the Shandong Provincial Higher Educational Science and Technology Program, China (Grants No. J09LA07 and No. J10LA15).
Rights and permissions
About this article
Cite this article
Yang, M., Wang, JS. & Meng, XG. A New Kind of Bipartite Entangled State and Some of Its Applications. Int J Theor Phys 50, 3348–3356 (2011). https://doi.org/10.1007/s10773-011-0838-3
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10773-011-0838-3