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Efficient Quantum Information Processing via Quantum Compressions

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Abstract

Our purpose is to improve the quantum transmission efficiency and reduce the resource cost by quantum compressions. The lossless quantum compression is accomplished using invertible quantum transformations and applied to the quantum teleportation and the simultaneous transmission over quantum butterfly networks. New schemes can greatly reduce the entanglement cost, and partially solve transmission conflictions over common links. Moreover, the local compression scheme is useful for approximate entanglement creations from pre-shared entanglements. This special task has not been addressed because of the quantum no-cloning theorem. Our scheme depends on the local quantum compression and the bipartite entanglement transfer. Simulations show the success probability is greatly dependent of the minimal entanglement coefficient. These results may be useful in general quantum network communication.

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References

  1. Bennett, C.H., Brassard, G., Créeau, C., Jozsa, R., Peres, A, Wootters, W.K.: Phys. Rev. Lett 70, 1895–899 (1993)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  2. Furusawa, A., Søensen, J.L., Braunstein, S.L., Fuchs, C.A., Kimble, H.J., Polzik, E.S.: Science 282, 706–709 (1998)

    Article  ADS  Google Scholar 

  3. van Loock, P., Braunstein, S.L.: Phys. Rev. Lett 84, 3482–3485 (2000)

    Article  ADS  Google Scholar 

  4. Rigolin, G.: Phys. Rev. A 71, 032303 (2005)

    Article  ADS  Google Scholar 

  5. Caruso, F., Giovannetti, V., Palma, G.M.: Phys. Rev. Lett. 104, 020503 (2010)

    Article  ADS  Google Scholar 

  6. Friis, N., Lee, A.R., Truong, K., Sabín, C., Solano, E., Johansson, G., Fuentes, I.: Phys. Rev. Lett. 110, 113602 (2013)

    Article  ADS  Google Scholar 

  7. Bouwmeester, D., Pan, J.-W., Mattle, K., Eibl, M., Weinfurter, H., Zeilinger, A.: Nature 390, 575–579 (1997)

    Article  ADS  Google Scholar 

  8. Krauter, H., Salart, D., Muschik, C.A., Petersen, J.M., Shen, H., Fernholz, T, Polzik, E. S.: Nat. Phys 9, 400–404 (2013)

    Article  Google Scholar 

  9. Olmschenk, S., Matsukevich, D.N., Maunz, P., Hayes, D., Duan, L.-M., Monroe, C.: Science 323, 486–489 (2009)

    Article  ADS  Google Scholar 

  10. 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)

    Article  ADS  Google Scholar 

  11. Lee, N., Benichi, H., Takeno, Y., Takeda, S., Webb, J., Huntington, E.: Science 332, 330–333 (2011)

    Article  ADS  Google Scholar 

  12. Nilsson, J., Stevenson, R.M., Chan, K.H.A., Skiba-Szymanska, J., Lucamarini, M., Ward, M. B., Bennett, A.J., Salter, C.L., Farrer, I., Ritchie, D.A., Shields, A.J.: Nat. Photon. 7, 311–315 (2013)

    Article  ADS  Google Scholar 

  13. Pati, A.K.: Phys. Rev. A 63, 014320 (2000)

    Article  MathSciNet  Google Scholar 

  14. Bennett, C.H., DiVincenzo, D.P., Shor, P.W., Smolin, J.A., Terhal, B.M., Wootters, W.K.: Phys. Rev. Lett. 87, 077902 (2001)

    Article  ADS  Google Scholar 

  15. Leung, D.W, Shor, P.W.: Phys. Rev. Lett. 90, 127905 (2003)

    Article  ADS  Google Scholar 

  16. Luo, M.X., Chen, X.B., Ma, S.Y., Niu, X.X., Yang, Y.X.: Optics Commun 283, 4796–4801 (2010)

    Article  ADS  Google Scholar 

  17. Barreiro, J.T., Wei, T.-C., Kwiat, P.G.: Phys. Rev. Lett. 105, 030407 (2010)

    Article  ADS  Google Scholar 

  18. Wu, W., Liu, W.-T., Chen, P.-X, Li, C.-Z.: Phys. Rev. A 81, 042301 (2010)

    Article  ADS  Google Scholar 

  19. Zeng, B., Zhang, P.: Phys. Rev. A 65, 022316 (2002)

    Article  ADS  Google Scholar 

  20. Luo, M.X., Chen, X.B., Niu, X.X., Yang, Y.X.: Quantum Infor. Proc 11, 751–767 (2012)

    Article  MathSciNet  MATH  Google Scholar 

  21. Majorana, E.: Nuovo Cimento 9, 43 (1932)

    Article  Google Scholar 

  22. Bacry, H.: J. Math. Phys 15, 1686–1688 (1974)

    Article  ADS  MathSciNet  Google Scholar 

  23. Nielsen, M.A., Chuang, I.L.: Quantum Computation and Quantum Information. Cambridge University Press, Cambridge (2000)

    MATH  Google Scholar 

  24. Kaye, P., Mosca, M.: J. Phys. A: Math. Gen. 34, 6939–6948 (2001)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  25. Plesch, M., Buzek, V.: Phys. Rev. A 81, 032317 (2010)

    Article  ADS  Google Scholar 

  26. Schumacher, B.: Phys. Rev. A 51, 2738–2747 (1995)

    Article  ADS  MathSciNet  Google Scholar 

  27. Jozsa, R., Horodecki, M., Horodecki, P., Horodecki, R.: Phys. Rev. Lett 81, 1714–1717 (1998)

    Article  ADS  Google Scholar 

  28. Chuang, I.L., Modha, D.S.: IEEE Trans. Infor. Theory 46, 1104–1116 (2000)

    Article  MathSciNet  MATH  Google Scholar 

  29. Bostroem, K., Felbinger, T.: Phys. Rev. A 65, 032313 (2002)

    Article  ADS  Google Scholar 

  30. Bennett, C.H., Harrow, A.W., Lloyd, S.: Phys. Rev. A 73, 032336 (2006)

    Article  ADS  Google Scholar 

  31. Krattenthaler, C., Slater, P.B.: IEEE Trans. Infor. Theory 46, 801–819 (2000)

    Article  MathSciNet  MATH  Google Scholar 

  32. Hayashi, M.: Commun. Math. Phys 293, 171–183 (2010)

    Article  ADS  MATH  Google Scholar 

  33. Datta, N., Renes, J.M., Renner, R., Wilde, M.M.: IEEE Trans. Infor. Theory 59, 8057–8076 (2013)

    Article  MathSciNet  Google Scholar 

  34. Ahlswede, R., Cai, N., Li, S.-Y.R., Yeung, R.W.: IEEE Trans. Infor. Theory 46, 1204–1216 (2000)

    Article  MathSciNet  MATH  Google Scholar 

  35. Li, S., Yeung, R., Cai, N.: IEEE Trans. Infor. Theory 49, 371–381 (2003)

    Article  MathSciNet  MATH  Google Scholar 

  36. Hayashi, M.: Phys. Rev. A 76, 040301 (2007)

    Article  ADS  MathSciNet  Google Scholar 

  37. Leung, D., Oppenheim, J., Winter, A.: IEEE Trans. Inf. Theory 56, 3478–3490 (2010)

    Article  MathSciNet  Google Scholar 

  38. Ma, S.Y., Chen, X.B., Luo, M.X., Niu, X.X., Yang, Y.X.: Optics Commun 283, 497–501 (2010)

    Article  ADS  Google Scholar 

  39. Bennett, C.H., Bernstein, H.J., Popescu, S., Schumacher, B.: Phys. Rev. A 53, 2046 (1996)

    Article  ADS  Google Scholar 

  40. Lo, H.-K, Popescu, S.: Phys. Rev. A 63, 022301 (2001)

    Article  ADS  Google Scholar 

  41. Yamamoto, T., Koashi, M., Ozdemir, S.K., Imoto, N.: Nature 421, 343 (2003)

    Article  ADS  Google Scholar 

  42. Zhao, Z., Yang, T., Chen, Y.-A., Zhang, A.-N, Pan, J.-W.: Phys. Rev. Lett. 90, 207901 (2003)

    Article  ADS  Google Scholar 

  43. Fiurasek, J., Mista, L., Filip, R.: Phys. Rev. A 67, 022304 (2003)

    Article  ADS  Google Scholar 

  44. Nielsen, M.A.: Phys. Rev. Lett. 83, 436–439 (1999)

    Article  ADS  Google Scholar 

  45. Luo, M.X., Li, H.R., Wang, X.: Euro. Phys. J. D 68, 190 (2014)

    Article  ADS  Google Scholar 

  46. Luo, M.X., Chen, X.B., Yang, Y.X., Qu, Z.G., Wang, X.: J. Opt. Soc. Am. B 31, 67–74 (2014)

    Article  ADS  Google Scholar 

  47. Bennett, C.H., Brassard, G., Popescu, S., Schumacher, B., Smolin, J.A., Wootters, W.K.: Phys. Rev. Lett 76, 722–725 (1996)

    Article  ADS  Google Scholar 

  48. Pan, J.W., Simon, C., Brukner, C., Zeilinger, A.: Nature 410, 1067–1070 (2001)

    Article  ADS  Google Scholar 

  49. Simon, C., Pan, J.W.: Phys. Rev. Lett. 89, 257901 (2002)

    Article  ADS  Google Scholar 

  50. Pan, J.W., Gasparonl, S., Ursin, R., Weihs, G., Zellinger, A.: Nature 423, 417–422 (2003)

    Article  ADS  Google Scholar 

  51. Sheng, Y.B., Zhou, L., Long, G.L.: Phys. Rev. A 88, 022302 (2013)

    Article  ADS  Google Scholar 

  52. Deng, F.G.: Phys. Rev. A 84, 052312 (2011)

    Article  ADS  Google Scholar 

  53. Dicke, R.H.: Phys. Rev 93, 99 (1954)

    Article  ADS  MATH  Google Scholar 

  54. Kiesel, N., Schmid, C., Toth, G., Solano, E., Weinfurter, H.: Phys. Rev. Lett. 98, 063604 (2007)

    Article  ADS  Google Scholar 

  55. Prevedel, R., Cronenberg, G., Tame, M.S., Paternostro, M., Walther, P., Kim, M.S., Zeilinger, A.: Phys. Rev. Lett. 103, 020503 (2009)

    Article  ADS  Google Scholar 

  56. Wieczorek, W., Krischek, R., Kiesel, N., Michelberger, P., Toth, G, Weinfurter, H.: Phys. Rev. Lett. 103, 020504 (2009)

    Article  ADS  Google Scholar 

  57. Noguchi, A., Toyoda, K, Urabe, S.: Phys. Rev. Lett. 109, 260502 (2012)

    Article  ADS  Google Scholar 

  58. D’Ariano, G.M., Lo Presti, P.: Phys. Rev. Lett 86, 4195–4198 (2001)

    Article  ADS  Google Scholar 

  59. Toth, G., Wieczorek, W., Gross, D., Krischek, R., Schwemmer, C, Weinfurter, H.: Phys. Rev. Lett. 105, 250403 (2010)

    Article  ADS  Google Scholar 

  60. Maciel, T. O, Vianna, R. O.: Quantum Infor. Comput. 12, 442–447 (2012)

    MATH  Google Scholar 

  61. Liu, H.-W., Wang, F., Li, H.-R., Deng, Y, Luo, M.-X.: Optics Commun. 334, 273–279 (2015)

    Article  ADS  Google Scholar 

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Acknowledgments

This work is supported by the National Natural Science Foundation of China (Nos.61303039,61201253), and the Fundamental Research Funds for the Central Universities (No.2682014CX095), the Key Laboratory of Sichuan Province in colleges (No.2014WZY03), and the talent project of Sichuan University of Science and Engineering (No.2011RC08).

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Authors and Affiliations

  1. Institute of Computer Science, Sichuan University of Science Engineering, Zigong, 64300, China

    Y. Deng

  2. Information Security and National Computing Grid Laboratory, Southwest Jiaotong University, Chengdu, 610031, China

    M. X. Luo

  3. School of Mathematics and Statistics, Henan University, Kaifeng, 475004, China

    S. Y. Ma

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  1. Y. Deng
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  2. M. X. Luo
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  3. S. Y. Ma
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Correspondence to M. X. Luo.

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Deng, Y., Luo, M.X. & Ma, S.Y. Efficient Quantum Information Processing via Quantum Compressions. Int J Theor Phys 55, 212–231 (2016). https://doi.org/10.1007/s10773-015-2652-9

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