Revisiting Quantum Discord for Two-Qubit X States: The Error Bound to an Analytical Formula
详细信息    查看全文
  • 作者:Min Namkung ; Jinho Chang ; Jaehee Shin230
  • 关键词:Quantum discord ; Quantum correlation
  • 刊名:International Journal of Theoretical Physics
  • 出版年:2015
  • 出版时间:September 2015
  • 年:2015
  • 卷:54
  • 期:9
  • 页码:3340-3349
  • 全文大小:291 KB
  • 参考文献:1.Plenio, M.B., Virmani, S.: Quantum Inf. Comput. 7, 1 (2007)MathSciNet
    2.Horodecki, R., Horodecki, P., Horodecki, M., Horodecki, K.: Rev. Mod. Phys. 81, 865 (2009)MATH MathSciNet View Article ADS
    3.Modi, K., Brodutch, A., Cable, H., Paterek, T., Vedral, V.: Rev. Mod. Phys. 84, 1655 (2012)View Article ADS
    4.Bennett, C.H., Divincenzo, D.P., Fuchs, C.A., Mor, T., Rains, E., Shor, P.W., Smolin, J.A., Wootters, W.K.: Phys. Rev. A 59, 1070 (1999)MathSciNet View Article ADS
    5.Henderson, L., Vedral, V.: J. Phys. A Math. Gen. 34, 6899 (2001)MATH MathSciNet View Article ADS
    6.Ollivier, H., Zurek, W.H.: Phys. Rev. Lett. 88, 017901 (2001)View Article ADS
    7.Madhok, V., Datta, A.: Int. J. Mod. Phys. B 27, 1245041 (2013)MathSciNet View Article ADS
    8.Lanyon, B.P., Barbieri, M., Almeida, M.P., White, A.G.: Phys. Rev. Lett. 101, 200501 (2008)View Article ADS
    9.Gu, M., Chrzanowski, H.M., Assad, S.M., Symul, T., Modi, K., Ralph, T.C., Vedral, V., Lam, P.K.: Nat. Phys. 8, 671 (2012)View Article
    10.Hamieh, S., Kobes, R., Zaraket, H.: Phys. Rev. A 70, 052325 (2004)View Article ADS
    11.Luo, S.: Phys. Rev. A 77, 042303 (2008)View Article ADS
    12.Yu, T., Eberly, J.H.: J. Quant. Inform. Comput. 7, 459 (2007)MATH MathSciNet
    13.Maziero, J., Werlang, T., Fanchini, F.F., Celeri, L.C., Serra, R.M.: Phys. Rev. A 81, 022116 (2010)View Article ADS
    14.Ali, M., Rau, A.R.P., Alber, G.: Phys. Rev. A 81, 042105 (2010)View Article ADS
    15.Chen, Q., Zhang, C., Yu, S., Yi, X.X., Oh, C.H.: Phys. Rev. A 84, 042313 (2011)View Article ADS
    16.Fanchini, F.F., Werlang, T., Brasil, C.A., Arruda, L.G.E., Caldeira, A.O.: Phys. Rev. A 81, 052107 (2010)View Article ADS
    17.Huang, Y., Phys. Rev.: A 88, 014302 (2013)
    18.Yurischev, M.A., arXiv:1404.鈥?735 [quant-ph]
    19.Vinjanampathy, S., Rau, A.R.P.: J. Phys. A 45, 095303 (2012)MathSciNet View Article ADS
    20.Pinto, J.P.G., Karpat, G., Fanchini, F.F.: Phys. Rev. A 88, 034304 (2013)MATH View Article ADS
    21.Karpat, G., Gedik, Z.: Phys. Lett. A 375, 4166 (2011)MATH View Article ADS
    22.Karpat, G., Gedik, Z.: Phys. Scr. T 153, 014036 (2013)View Article ADS
    23.Li, B., Wang, Z.-X., Fei, S.-M.: Phys. Rev. A 83, 022321 (2011)View Article ADS
    24.Shi, M., Yang, W., Jiang, F., Du, J.: J. Phys. A Math. Theor. 44, 415304 (2011)MathSciNet View Article
    25.Shi, M., Jiang, F., Yan, X., Du, J.: Phys. Rev. A 85, 064104 (2012)View Article ADS
    26.Lu, X.M., Ma, J., Xi, Z., Wang, X.: Phys. Rev. A 83, 012327 (2011)View Article ADS
    27.Pratt, J.S., Phys. Rev.: Letter 93, 237205 (2004)
    28.Bose, S., Fuentes-Guridi, I., Knight, P.L., Vedral, V.: Phys. Rev. Lett. 87, 050401 (2001)MathSciNet View Article ADS
    29.Werner, R., Phys. Rev.: A 40, 4277 (1989)
  • 作者单位:Min Namkung (1)
    Jinho Chang (1)
    Jaehee Shin (1)
    Younghun Kwon (1)

    1. Department of Physics, Hanyang University, Ansan, Kyunggi-Do, 425-791, South Korea
  • 刊物类别:Physics and Astronomy
  • 刊物主题:Physics
    Physics
    Quantum Physics
    Elementary Particles and Quantum Field Theory
    Mathematical and Computational Physics
  • 出版者:Springer Netherlands
  • ISSN:1572-9575
文摘
In this article, we investigate the error bound of quantum discord, obtained from the analytic formula of Ali et al. (Phys. Rev. A 81, 042105, 2010) for the case of general X states and from the analytic formula of Fanchini et al. (Phys. Rev. A 81, 052107, 2010) for the case of symmetric X states. For this purpose we consider 3-element POVM. We find that the results of Ali et al. and Fanchini et al. may have the worst-case errors of 0.004565 and 0.0009, respectively.

© 2004-2018 中国地质图书馆版权所有 京ICP备05064691号 京公网安备11010802017129号

地址:北京市海淀区学院路29号 邮编:100083

电话:办公室:(+86 10)66554848;文献借阅、咨询服务、科技查新:66554700