Advertisement

International Journal of Theoretical Physics

, Volume 57, Issue 5, pp 1572–1581 | Cite as

Communication Capacity of W States

  • Junxia Li
Article

Abstract

Tripartite entanglement of three qubits can be classified based on the stochastic local operations and classical communications. Such entanglement are divided into two categories: GHZ states and W states. In this paper, we present the communication capacity of W states of arbitrary n qubits. We firstly evaluate the partition-depended communication capacity of bipartite W states including hyper-entangled W states. And then we compute the concordant communication capacity of W states, which is independent of partitions of W states.

Keywords

Quantum entanglement W states Communication capacity Quantum teleportation Superdense coding 

Notes

Acknowledgements

This work was supported by the National Natural Science Foundation of China (No.61705062).

References

  1. 1.
    Bennett, C., Brassard, G., Crepeau, C., Jozsa, R., Peres, A., Wooters, W.K.: Phys. Rev. Lett. 70, 1895 (1993)ADSMathSciNetCrossRefGoogle Scholar
  2. 2.
    Zeng, B., Liu, X.-S., Li, Y.-S., Long, G.-L.: Commun. Theor. Phys. 38, 537 (2002)ADSCrossRefGoogle Scholar
  3. 3.
    Bennett, C.H., Bernstein, H.J., Popescu, S., Schumacher, B.: Phys. Rev. A 53, 2046 (1996)ADSCrossRefGoogle Scholar
  4. 4.
    Oh, S., Lee, S., Lee, H.: Phys. Rev. A 66, 022316 (2002)ADSMathSciNetCrossRefGoogle Scholar
  5. 5.
    Agrawal, P., Pati, A.K.: Phys. Lett. A 305, 12 (2002)ADSMathSciNetCrossRefGoogle Scholar
  6. 6.
    Jung, E., Hwang, M.-R., Ju, Y.H., Kim, M.-S., Yoo, S.-K., Kim, H., Park, D., Son, J.-W., Tamaryan, S., Cha, S.-K.: Phys. Rev. A 78, 012312 (2008)ADSCrossRefGoogle Scholar
  7. 7.
    Vaidman, L.: Phys. Rev. A 49, 1473 (1994)ADSMathSciNetCrossRefGoogle Scholar
  8. 8.
    Braunstein, S.L., Kimble, H.J.: Phys. Rev. Lett. 80, 869 (1998)ADSCrossRefGoogle Scholar
  9. 9.
    Braunstein, S.L., Fuchs, C.A., Kimble, H.J.: J. Mod. Opt. 47(2–3), 267–278 (2000)ADSCrossRefGoogle Scholar
  10. 10.
    Bouwmeester, D., Pan, J.W., Mattle, K., Eibl, M., Weinfurter, H., Zeilinger, A.: Nature 390, 575 (1997)ADSCrossRefGoogle Scholar
  11. 11.
    Nielsen, M.A., Knill, E., Laflamme, R.: Nature 396(6706), 52–55 (1998)ADSCrossRefGoogle Scholar
  12. 12.
    Boschi, D., Branca, S., De Martini, F., Hardy, L., Popescu, S.: Phys. Rev. Lett. 80, 1121 (1998)ADSMathSciNetCrossRefGoogle Scholar
  13. 13.
    Furusawa, A., Sorensen, J.L., Braunstein, S.L., Fuchs, C.A., Kimble, H.J., Polzik, E.S.: Science 282, 706 (1998)ADSCrossRefGoogle Scholar
  14. 14.
    Zhao, Z., Chen, Y.-A., Zhang, A.-N., Yang, T., Briegel, H.J., Pan, J.-W.: Nature 430, 54–58 (2004)ADSCrossRefGoogle Scholar
  15. 15.
    Jin, X.-M., Ren, J.-G., Yang, B., Yi, Z.-H., Zhou, F., Xu, X.-F., Wang, S.-K., Yang, D., Hu, Y.-F., Jiang, S., Yang, T., Yin, H., Chen, K., Peng, C.-Z., Pan, J.-W.: Nat. Photonics 4, 376–381 (2010)ADSCrossRefGoogle Scholar
  16. 16.
    Riebe, M., Häffner1, H., Roos, C.F., Hänsel1, W., Benhelm, J., Lancaster, G.P.T., Körber, T. W., Becher, C., Schmidt-Kaler, F., James, D.F.V., Blatt, R.: Nature 429(6993), 734–737 (2004)Google Scholar
  17. 17.
    Barrett, M.D., Chiaverini, J., Schaetz, T., Britton, J., Itano, W.M., Jost, J.D., Knill, E., Langer, C., Leibfried, D., Ozeri, R., Wineland, D.J.: Nature 429, 737–739 (2004)ADSCrossRefGoogle Scholar
  18. 18.
    Sherson, J.F., Krauter, H., Olsson, R.K., Julsgaard, B., Hammerer, K., Cirac, I., Polzik, E.S.: Nature 443, 557–560 (2006)ADSCrossRefGoogle Scholar
  19. 19.
    Yin, J., Ren, J.-G., Lu, H., Cao, Y., Yong, H.-L., Wu, Y.-P., Liu, C., Liao, S.-K., Zhou, F., Jiang, Y., Cai, X.-D., Xu, P., Pan, G.-S., Jia, J.-J., Huang, Y.-M., Yin, H., Wang, J.-Y., Chen, Y.-A., Peng, C.-Z., Pan, J.-W.: Nature 488, 185–188 (2012)ADSCrossRefGoogle Scholar
  20. 20.
    Ma, X.-S., Herbst, T., Scheidl, T., Wang, D., Kropatschek, S., Naylor, W., Wittmann, B., Mech, A., Kofler, J., Anisimova, E., Makarov, V., Jennewein, T., Ursin, R., Zeilinger, A.: Nature 489, 269–273 (2012)ADSCrossRefGoogle Scholar
  21. 21.
    Olmschenk, S., Matsukevich, D.N., Maunz, P., Hayes, D., Duan, L.-M., Monroe, C.: Science 323(5913), 486–489 (2009)ADSCrossRefGoogle Scholar
  22. 22.
    Pfaff, W., Hensen, B.J., Bernien, H., van Dam, S.B., Blok, M.S., Taminiau, T.H., Tiggelman, M.J., Schouten, R.N., Markham, M., Twitchen, D.J., Hanson, R.: Science 345(6196), 532–535 (2014)ADSMathSciNetCrossRefGoogle Scholar
  23. 23.
    Gottesman, D., Chuang, I.L.: Nature 402(6760), 390–393 (1999)ADSCrossRefGoogle Scholar
  24. 24.
    Ekert, A.K.: Phys. Rev. Lett. 67, 661–663 (1991)ADSMathSciNetCrossRefGoogle Scholar
  25. 25.
    Hausladen, P., Jozsa, R., Schumacher, B., Westmoreland, M., Wootters, W.K.: Phys. Rev. A 54(3), 1869 (1996)ADSMathSciNetCrossRefGoogle Scholar
  26. 26.
    Bowen, G.: Phys. Rev. A 63(2), 022302 (2001)ADSMathSciNetCrossRefGoogle Scholar
  27. 27.
    Harrow, A., Hayden, P., Leung, D.: Phys. Rev. Lett. 92(18), 187901 (2004)ADSCrossRefGoogle Scholar
  28. 28.
    Pati, A.K., Parashar, P., Agrawal, P.: Phys. Rev. A 72(1), 012329 (2005)ADSCrossRefGoogle Scholar
  29. 29.
    Agrawal, P., Pati, A.: Phys. Rev. A 74(6), 062320 (2006)ADSCrossRefGoogle Scholar
  30. 30.
    Li, L., Qiu, D.: J. Phys. A: Math. Theor. 40(35), 10871 (2007)ADSCrossRefGoogle Scholar
  31. 31.
    Dür, W., Vidal, G., Cirac, J.I.: Phys. Rev. A 62, 062314 (2000)ADSMathSciNetCrossRefGoogle Scholar
  32. 32.
    Yu, N., Guo, C., Duan, R.: Phys. Rev. Lett. 112, 160401 (2014)ADSCrossRefGoogle Scholar
  33. 33.
    Cabello, A.: Phys. Rev. A 65, 032108 (2002)ADSCrossRefGoogle Scholar
  34. 34.
    Guo, G.-C., Zhang, Y.-S.: Phys. Rev. A 65, 054302 (2002)ADSCrossRefGoogle Scholar
  35. 35.
    Gorbachev, V.N., Trubilko, A.I., Rodichkina, A.A.: Phys. Lett. A 314, 267 (2003)ADSMathSciNetCrossRefGoogle Scholar
  36. 36.
    Biswas, A., Agarwal, G.S.: J. Mod. Opt. 51, 1627 (2004)ADSCrossRefGoogle Scholar
  37. 37.
    Tashima, T., et al.: Phys. Rev. Lett. 102, 130502 (2009)ADSMathSciNetCrossRefGoogle Scholar
  38. 38.
    Özdemir, S. K., et al.: New J. Phys. 13, 103003 (2011)CrossRefGoogle Scholar
  39. 39.
    Bugu, S., Yesilyurt, C., Ozaydin, F.: Phys. Rev. A 87, 032331 (2013)ADSCrossRefGoogle Scholar
  40. 40.
    Yesilyurt, C., Bugu, S., Ozaydin, F.: Quantum Inf. Process. 12, 2965–2975 (2013)ADSMathSciNetCrossRefGoogle Scholar
  41. 41.
    Ozaydin, F., et al.: Phys. Rev. A 89, 042311 (2014)ADSCrossRefGoogle Scholar
  42. 42.
    Gross, D., Flammia, S.T., Eisert, J.: Phys. Rev. Lett. 102(19), 190501 (2009)ADSMathSciNetCrossRefGoogle Scholar
  43. 43.
    Miyake, A., Wadati, M.: Quantum Inf. Comput. 2(7), 540–555 (2002)MathSciNetGoogle Scholar
  44. 44.
    Hao, J.C., Li, C.F., Guo, G.C.: Phys. Lett. A 278, 113 (2000)ADSMathSciNetCrossRefGoogle Scholar
  45. 45.
    Gorbachev, V.N., Rodichkina, A.A., Trubilko, A.I.: Phys. Lett. A 310, 339 (2003)ADSMathSciNetCrossRefGoogle Scholar
  46. 46.
    Sheng, Y.-B., Deng, F.-G., Long, G.L.: Phys. Rev. A 82, 032318 (2010)ADSCrossRefGoogle Scholar
  47. 47.
    Wang, X.-L., Cai, X.-D., Su, Z.-E., Chen, M.-C., Wu, D., Li, L., Liu, N.-L., Lu, C.-Y., Pan, J.-W.: Nature 518, 516 (2015)ADSCrossRefGoogle Scholar
  48. 48.
    Luo, M.-X., Li, H.-R., Lai, H., Wang, X.: Phys. Rev. A 93, 012332 (2016)ADSCrossRefGoogle Scholar
  49. 49.
    Ren, B.C., Deng, F.G.: Sci. Rep. 4, 4623 (2014)CrossRefGoogle Scholar
  50. 50.
    Luo, M.-X., Li, H.-R., Lai, H., Wang, X.: Sci. Rep. 6, 25977 (2016)ADSCrossRefGoogle Scholar
  51. 51.
    Luo, M.-X., Wang, X.: Sci. Rep. 4, 5732 (2014)CrossRefGoogle Scholar
  52. 52.
    Lin, Q., He, B.: Phys. Rev. A 80, 042310 (2009)ADSCrossRefGoogle Scholar
  53. 53.
    Lin, Q., He, B.: Sci. Rep. 5, 12792 (2015)ADSCrossRefGoogle Scholar
  54. 54.
    Luo, M.-X., Li, H.-R., Lai, H.: Sci. Rep. 6, 29939 (2016)ADSCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.School of Physics & Electronic Information EngineeringHenan Polytechnic UniversityJiaozuoChina

Personalised recommendations