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One-way Quantum Deficit and Decoherence for Two-qubit X States

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Abstract

We study one-way quantum deficit of two-qubit X states systematically from analytical derivations. An effective approach to compute one-way quantum deficit of two-qubit X states has been provided. Analytical results are presented as for detailed examples. Moreover, we demonstrate the decoherence of one-way quantum deficit under phase damping channel.

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References

  1. Amico, L., Fazio, R., Osterloh, A., Vedral, V.: Rev. Mod. Phys. 80, 517 (2008)

    Article  ADS  MathSciNet  Google Scholar 

  2. Horodecki, R., Horodecki, P., Horodecki, M., Horodecki, K.: Rev. Mod. Phys. 81, 865 (2009)

    Article  ADS  MathSciNet  Google Scholar 

  3. Modi, K., Brodutch, A., Cable, H., Paterek, T., Vedral, V.: Rev. Mod. Phys. 84, 1655 (2012)

    Article  ADS  Google Scholar 

  4. Datta, A., Shaji, A., Caves, C.M.: Phys. Rev. Lett. 100, 050502 (2008)

    Article  ADS  Google Scholar 

  5. Lanyon, B.P., Barbieri, M., Almeida, M.P., White, A.G.: Phys. Rev. Lett. 101, 200501 (2008)

    Article  ADS  Google Scholar 

  6. Ollivier, H., Zurek, W.H.: Phys. Rev. Lett. 88, 017901 (2001)

    Article  ADS  Google Scholar 

  7. Henderson, L., Vedral, V.: J. Phys. A 34, 6899 (2001)

    Article  ADS  MathSciNet  Google Scholar 

  8. Roa, L., Retamal, J.C., Alid-Vaccarezza, M.: Phys. Rev. Lett. 107, 080401 (2011)

    Article  ADS  Google Scholar 

  9. Li, B., Fei, S.M., Wang, Z.X., Fan, H.: Phys. Rev. A 85, 022328 (2012)

    Article  ADS  Google Scholar 

  10. Dakic, B., et al.: Nat. Phys. 8, 666 (2012)

    Article  Google Scholar 

  11. Madhok, V., Datta, A.: Phys. Rev. A 83, 032323 (2011)

    Article  ADS  Google Scholar 

  12. Cavalcanti, D., Aolita, L., Boixo, S., Modi, K., Piani, M., Winter, A.: Phys. Rev. A 83, 032324 (2011)

    Article  ADS  Google Scholar 

  13. Luo, S.: Phys. Rev. A 77, 022301 (2008)

    Article  ADS  Google Scholar 

  14. Dakić, B., Vedral, V., Brukner, C.: Phys. Rev. Lett. 105, 190502 (2010)

    Article  ADS  Google Scholar 

  15. Luo, S., Fu, S.: Phys. Rev. A 82, 034302 (2010)

    Article  ADS  MathSciNet  Google Scholar 

  16. Modi, K., Paterek, T., Son, W., Vedral, V., Williamson, M.: Phys. Rev. Lett. 104, 080501 (2010)

    Article  ADS  MathSciNet  Google Scholar 

  17. Adesso, G., Datta, A.: Phys. Rev. Lett. 105, 030501 (2010)

    Article  ADS  Google Scholar 

  18. Giorda, P., Paris, M.G.A.: Phys. Rev. Lett. 105, 020503 (2010)

    Article  ADS  Google Scholar 

  19. Luo, S.: Phys. Rev. A 77, 042303 (2008)

    Article  ADS  Google Scholar 

  20. Ali, M., Rau, A.R.P., Alber, G.: Phys. Rev. A 81, 042105 (2010); Erratum in: Phys. Rev. A 82, 069902(E) (2010)

  21. Lu, X.-M., Ma, J., Xi, Z., Wang, X.: Phys. Rev. A 83, 012327 (2011)

    Article  ADS  Google Scholar 

  22. Chen, Q., Zhang, C., Yu, S., Yi, X.X., Oh, C.H.: Phys. Rev. A 84, 042313 (2011)

    Article  ADS  Google Scholar 

  23. Girolami, D., Adesso, G.: Phys. Rev. A 83, 052108 (2011)

    Article  ADS  Google Scholar 

  24. Huang, Y.: Phys. Rev. A 88, 014302 (2013)

    Article  ADS  Google Scholar 

  25. Maldonado-Trapp, A., Hu, A., Roa, L.: Quantum Inf. Process 14, 1947 (2015)

    Article  ADS  Google Scholar 

  26. Yurishchev, M.A.: J. Exp. Theor. Phys. 119, 828 (2014)

    Article  ADS  Google Scholar 

  27. Yurischev, M.A.: Quantum Inf. Process 14, 3399 (2015)

    Article  ADS  MathSciNet  Google Scholar 

  28. Oppenheim, J., Horodecki, M., Horodecki, P., Horodecki, R.: Phys. Rev. Lett. 89, 180402 (2002)

    Article  ADS  Google Scholar 

  29. Horodecki, M., Horodecki, P., Horodecki, R., Oppenheim, J., Sen(De), A., Sen, U., Synak, B.: Phys. Rev. A 71, 062307 (2005)

    Article  ADS  Google Scholar 

  30. Oppenheim, J., Horodecki, K., Horodecki, M., Horodecki, P., Horodecki, R.: Phys. Rev. A 68, 022307 (2003)

    Article  ADS  MathSciNet  Google Scholar 

  31. Wang, Y.K., Ma, T., Li, B., Wang, Z.X.: Commun. Theor. Phys. 59, 540 (2013)

    Article  ADS  MathSciNet  Google Scholar 

  32. Wang, Y.K., Jing, N.H., Fei, S.M., Wang, Z.X., Cao, J.P., Fan, H.: Quantum Inf. Process 14, 2487 (2015)

    Article  ADS  Google Scholar 

  33. Streltsov, A., Kampermann, H., Bruss, D.: Phys. Rev. Lett. 106, 160401 (2011)

    Article  ADS  Google Scholar 

  34. Zurek, W.H.: Phys. Rev. A 67, 012320 (2003)

    Article  ADS  Google Scholar 

  35. Shi, M., Sun, C., Jiang, F., Yan, X., Du, J.: Phys. Rev. A 85, 064104 (2012)

    Article  ADS  Google Scholar 

  36. Galve, F., Giorgi, G., Zambrini, R.: Europhys. Lett. 96, 40005 (2011)

    Article  ADS  Google Scholar 

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

    MATH  Google Scholar 

Download references

Acknowledgments

We thank the anonymous referee for the useful suggestions and valuable comments. This work is supported by the NSFC under number 11275131.

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Authors and Affiliations

  1. School of Mathematical Sciences, Capital Normal University, Beijing, 100048, China

    Biao-Liang Ye & Shao-Ming Fei

  2. Institute of Physics, Chinese Academy of Sciences, Beijing, 100190, China

    Yao-Kun Wang

  3. College of Mathematics, Tonghua Normal University, Tonghua, Jilin, 134001, China

    Yao-Kun Wang

  4. Max-Planck-Institute for Mathematics in the Sciences, Leipzig, 04103, Germany

    Shao-Ming Fei

Authors
  1. Biao-Liang Ye
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  2. Yao-Kun Wang
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  3. Shao-Ming Fei
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Correspondence to Biao-Liang Ye.

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Ye, BL., Wang, YK. & Fei, SM. One-way Quantum Deficit and Decoherence for Two-qubit X States. Int J Theor Phys 55, 2237–2246 (2016). https://doi.org/10.1007/s10773-015-2862-1

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  • DOI: https://doi.org/10.1007/s10773-015-2862-1

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