Coping with noise in joint remote preparation of a general two-qubit state by using nonmaximally entangled quantum channel

Dat Thanh Le, Hop Van Nguyen, An Ba Nguyen


Noise is unavoidable in practice and its presence makes quantum protocols imperfect. In this paper we consider a way to cope with typical types of noise in joint remote preparation of an arbitrary 2-qubit state. The idea is to use nonmaximally (in stead of maximally) entangled states as the initial quantum channel. Because noise changes the initial quantum channel we can beforehand tailor it to be nonmaximally entangled by introducing free parameters which, depending on given types of noise, can be controlled so that due to the affect of noise the initial quantum channel becomes closest to the maximally entangled one, thus optimizing the performance of the joint remote state preparation protocol. The dependence of the optimal averaged fidelities on the strength of various types of noise is represented by phase diagrams that clearly separate the quantum domain from the classical one.


joint remote state preparation, two-qubit state, noise

Full Text:



bibitem{i1} Y. Xia, J. Song and H. S. Song, textit{J. Phys. B: At. Mol. Opt. Phys.} textbf{40} (2007) 3719.

bibitem{i2} N. B. An and J. Kim, textit{J. Phys. B: At. Mol. Opt.

Phys.} textbf{41} (2008) 095501.

bibitem{i3} N. B. An and J. Kim, textit{Int. J. Quant. Inf.} textbf{6}

(2008) 1051.

bibitem{i4} A. K. Pati, textit{Phys. Rev. A} textbf{63} (2000) 014302.

bibitem{i5} N. B. An, textit{J. Phys. B: At. Mol. Opt. Phys.} textbf{%

} (2009) 125501.

bibitem{i6} K. Hou, J. Wang, Y. L. Lu and S. H. Shi, textit{Int. J. Theor.

Phys.} textbf{ 48} (2009) 2005.

bibitem{i7} M. X. Lou, X. B. Chen, S. Y. Ma, X. X. Niu and Y. X. Yang,

textit{Opt. Commun.} textbf{ 283} (2010) 4796.

bibitem{i8} Q. Q. Chen, Y. Xia, J. Song and N. B. An, textit{Phys. Lett. A}

textbf{374} (2010) 4483.

bibitem{i9} N. B. An, textit{Opt. Commun.} textbf{283} (2010) 4113.

bibitem{i10} N. B. An, C. T. Bich and N. V. Don, textit{Phys. Lett. A}

textbf{375} (2011) 3570.

bibitem{i11} N. B. An, C. T. Bich and N. V. Don, textit{J. Phys. B: At.

Mol. Opt. Phys.} textbf{44} (2011) 135506.

bibitem{i12} Q. Q. Chen, Y. Xia and N. B. An, textit{Opt. Commun.} textbf{%

} (2011) 2617.

bibitem{i13} Z. Y. Wang, textit{Int. J. Quant. Inf.} textbf{9} (2011) 809.

bibitem{i14} K. Hou, Y. B. Li, G. H. Liu and S. Q. Sheng, textit{J. Phys.

A: Math. Theor.} textbf{44} (2011) 255304.

bibitem{i15} X. Q. Xiao, J. M. Liu and G. Zeng, textit{J. Phys. B: At.

Mol. Opt. Phys.} textbf{44} (2011) 075501.

bibitem{i16} C. T. Bich, N. V. Don and N. B. An, textit{Int. J. Theor.

Phys.} textbf{51} (2012) 2272.

bibitem{i16a} Y. Xia, Q. Q. Chen and N. B. An, textit{J. Phys. A: Math. Theor.} textbf{45} (2012) 335306.

bibitem{i17} M. X. Luo, J. Y. Peng and Z. W. Mo, textit{Int. J. Theor.

Phys.} textbf{52} (2013) 644.

bibitem{i18} Y. B. Zhan and P. C. Ma, textit{Quant. Inf. Process.} textbf{%

} (2013) 997.

bibitem{i19} Y. B. Zhan, H. Fu, X. W. Li and P. C. Ma, textit{Int. J.

Theor. Phys.} textbf{52} (2013) 2615.

bibitem{i20} L. R. Long, P. Zhou, Z. Li and C. L. Yin, textit{Int. J.

Theor. Phys.} textbf{51} (2012) 2438.

bibitem{i21} D. Wang and L. Ye, textit{Int. J. Theor. Phys.} textbf{51}

(2012) 3376.

bibitem{i22} Y. M. Liao, P. Zhou, X. C. Qin and Y. H. He, textit{Quant.

Inf. Process.} textbf{13} (2014) 615.

bibitem{i23} M. X. Luo, X. B. Chen, Y. X. Yang and X. X. Niu, textit{%

Quant. Inf. Process.} textbf{ 11} (2012) 751.

bibitem{i24} R. F. Yu, Y. J. Lin and P. Zhou, textit{Quant. Inf. Process.}

textbf{15} (2016) 4785.

bibitem{esd} T. Yu and J. H. Eberly, textit{Phys. Rev. Lett.}

textbf{93} (2004) 140404; textit{Phys. Rev. Lett.} textbf{97} (2006)

bibitem{esd1} N. B. An and J. Kim, textit{Phys. Rev. A} textbf{79} (2009)

bibitem{i25} C. H. Bennett, G. Brassard, S. Popescu, B. Schumacher, J. A.

Smolin and W. K. Wooters, textit{Phys. Rev. Lett.} textbf{76} (1996) 722.

bibitem{i26} J. W. Pan, C. Simon, C. Brukner and A. Zeilinger, textit{%

Nature} textbf{410} (2001) 1067.

bibitem{i27} J. L. Romero, L. Roa, J. C. Retamal and C. Saavedra, textit{%

Phys. Rev. A} textbf{65} (2002) 052319.

bibitem{i29} Q. Sun, M. Al-Amri and M. S. Zubairy, textit{Phys. Rev. A}

textbf{80} (2009) 033838.

bibitem{i30} J. C. Lee, Y. C. Jeong, Y. S. Kim and Y. H. Kim, textit{Opt.

Express} textbf{19} (2011) 16309.

bibitem{i31} M. Hamada, textit{Phys. Rev. A} textbf{68} (2003) 012301.

bibitem{i32} T. Pramanik and A. S. Majumdar, textit{Phys. Lett. A} textbf{%

} (2013) 3209.

bibitem{i33} L. Qiu, G. Tang, X. Yang and A. Wang, textit{Ann. Phys.}

textbf{350} (2014) 137.

bibitem{i34} B. G. Taketani, F. de Melo and R. L. de Matos Filho, textit{%

Phys. Rev. A} textbf{85} (2012) 020301.

bibitem{i35} L. T. Knoll, Ch. T. Schmiegelow and M. A. Larotonda, textit{%

Phys. Rev. A} textbf{90} (2014) 042332.

bibitem{i36} P. Badziag, M. Horodecki, P. Horodecki and R. Horodecki,

textit{Phys. Rev. A} textbf{62} (2000) 012311.

bibitem{i37} S. Bandyopadhyay, textit{Phys. Rev. A} textbf{65} (2002)

bibitem{i38} Y. Yeo, textit{Phys. Rev. A} textbf{78} (2008) 022334.

bibitem{i39} R. Fortes and G. Rigolin, textit{Phys. Rev. A} textbf{92}

(2015) 012338.

bibitem{i40} H. Q. Liang, J. M. Liu, S. S. Feng, J. G. Chen and X. Y. Xu,

textit{Quant. Inf. Process.} textbf{14} (2015) 3857.

bibitem{i41} Z. F. Chen, J. M. Liu and L. Ma, textit{Chin. Phys. B}

textbf{23} (2014) 020312.

bibitem{i42} X. W. Guan, X. B. Chen, L. C. Wang and Y. X. Yang, textit{%

Int. J. Theor. Phys.} textbf{53} (2014) 2236.

bibitem{i43} M. M. Wang and Z. G. Qu, textit{Quant. Inf. Process.} textbf{%

} (2016) 4805.

bibitem{i44} H. Zhao and L. Huang, textit{Int. J. Theor. Phys.} textbf{56}

(2017) 720.

bibitem{i45} N. V. Hop, C. T. Bich and N. B. An, textit{Adv. Nat. Sci.:

Nanosci. Nanotech.} textbf{8} (2017) 015012.

bibitem{i46} K. Kraus, textit{States, Effects and Operators: Fundamental

Notions of Quantum Theory}, Springer-Verlag, Berlin, 1983.

bibitem{i47} M. A. Nielsen and I. L. Chuang, textit{Quantum Computation

and Quantum Information}, Cambridge University Press, Cambridge, 2000.

bibitem{i48} K. Zyczkowski and H. J. Sommers, textit{J. Phys. A: Math.

Gen.} textbf{34} (2001) 7111.

bibitem{i49} D. Bruss and C. Macchiavello, textit{Phys. Lett. A} textbf{%

} (1999) 249.

DOI: Display counter: Abstract : 354 views. PDF : 109 views.


  • There are currently no refbacks.

Editorial Office:

Communications in Physics

1st Floor, A16 Building, 18B Hoang Quoc Viet Street, Cau Giay District, Hanoi, Vietnam

Tel: (+84) 024 3791 7102 


Copyright by