Abstract
Pattern classifications have been performed by employing the method of Grover’s iteration on Bell’s MES and Singh-Rajput MES in two-qubit system and it has been demonstrated that for any pattern classification in a two-qubit system the maximally entangled states of Singh-Rajput eigen basis provide the most suitable choice of search states while in no case any of Bell’s states is suitable for such pattern classifications.
Similar content being viewed by others
References
Schrodinger, E.: Proc. Cambridge Philos. Soc. 31, 555 (1935)
Shor, P.W.: Proceedings 35 th Annual Symposium, Found of Computer Science, pp. 20–22. Los. Alamitos IEEE Comp. Press (1994)
Grover, L.K.: Proceedings 28 th Annual ACM Symposium on Theory of Computing, pp. 212–221. ACM Press, Philadelphia (1996)
Simon, D.: SIAM J. Comput. 26(5), 1474–1483 (1997)
Ezkov, A., Nifanava, A., Ventura, D.: Inf. Sci. 128, 271–293 (2000)
Li, S.S., Nie, Y.Y., Hong, Z.H, Yi, X.J., Huang, Y.B.: Comm. Theory Phys. 50, 633–640 (2008)
Huang, Y.B., Li, S.S., Nie, Y.Y.: Int. J. Theory Phys. 48, 95–100 (2009)
Li, S.S.: Int. J. Theory Phys. 51, 724–730 (2012)
Wang, Z.S., Wu, C., Feng, X.L., Kwek, L.C., Lai, C.H., Oh, C.H., Vedral, V.: Phys. Rev. A76, 044303–307 (2007)
Wang, Z.S: Phys. Rev. A79, 024304–308 (2009)
Jennewein, T., Simon, C., Weihs, G., Weinfurter, H., Zeilinger, A.: Phys. Rev. Lett. 84, 4729–4732 (2000)
Naik, D.S., Peterson, C.G., White, A.G., Burglund, A. J., Kwiat, P.G.: Phys. Rev. Lett. 84, 4733–4736 (2000)
Tittel, W., Bendel, J., Zbinden, H., Gisin, N.: Phys. Rev. Lett. 84, 4737–4740 (2000)
Tan, H.T., Zhang, W.M., Li, G.: Phys. Rev. A83, 032102–108 (2011)
Smirne, A., Breuer, H.P., Piilo, J., Vacchini, B.: Phys. Rev. A84, 062114–119 (2010)
Benenti, G., Casati, G.: Phys. Rev. E79, 025201R–205R (2009)
Hill, S., Wooters, W.K.: Phys. Rev. Lett. 78(26), 5022–5025 (1997)
Wooters, W.K.: Phys. Rev. Lett. 80(10), 2245–2248 (1998)
Rungta, P., Buzek, V., Caves, C.M., Hillery, M., Millburn, G.J.: Phys. Rev. A64(4), 042315–320 (2001)
Coffman, V., Kundu, J., Wooters, W.K.: Phys. Rev. A61(5), 052306 (2000)
Glaser, U., Buttner, H., Fehske, H.: Phys. Rev. A68, 032318–326 (2003)
Facchi, P., Pascozio, S.: J. Phys. A41, 493001 (2008)
Gerardo, A., Paz-Silva, Rezakhani, A.T., Dominy, J.M., Lidar, D.A.: Phys. Rev. Lett. 108, 080501 (2012)
O’Connor, K.M., Wooters, W.K.: Phys. Rev. A63(5), 052302 (2001)
Arnesey, M.C., Bose, A., Vederal: Phys. Rev. Lett. 87(1), 017901 (2001)
Milman, P., Mosseri, R.: Phys. Rev. Lett. 90, 230403 (2003)
Ming, W. Li., Tang, Z.L., Liao, C.J.: Phys. Rev. A69, 064301–319 (2004)
Wang, X., Fu, H., Solomon, A.I.: J. Phys. A34(50), 11307 (2001)
Neelay, M., Bialczak, R.C., Lenander, M., Lucero, E., Mariantoni, M., O’Connell, A.D., Sank, D., Wang, H., Weides, M., Wenner, J., Yin, Y., Yamamoto, T., Cleland, A.N., Martinis, J.: Nature 467(7315), 570 (2010)
Kamta, G.L., Starace, A.F.: Phys. Rev. Lett. 88(10), 107901 (2002)
Singh, M.P., Rajput, B.S.: Int. J. Theory Phys. 52, 4237–4255 (2013)
Ventura, D.: Proceedings International Joint Conference on Neural Networks, pp. 1565–1576 (2001)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Singh, M.P., Rajput, B.S. New Maximally Entangled States and Pattern Classification in Two-Qubit System. Int J Theor Phys 53, 3226–3238 (2014). https://doi.org/10.1007/s10773-014-2120-y
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10773-014-2120-y