Advertisement

Bidirectional Controlled Remote State Preparation of an Arbitrary Two-Qubit State

  • Yuan-hua LiEmail author
  • Yi Qiao
  • Ming-huang Sang
  • Yi-you Nie
Article

Abstract

We propose a scheme of bidirectional controlled remote state preparation of an arbitrary two-qubit state, where a nine-qubit entangled state is used as the quantum channel. In our scheme, Alice and Bob can prepare simultaneously an arbitrary two-qubit state for each other’s place with the help of the controller Charlie. The total success probability for our scheme reaches 100%. PACS numbers 03.67.Hk, 03.65.Ud, 42.50.Dv.

Keywords

Quantum information Bidirectional controlled remote state preparation Arbitrary two-qubit state 

Notes

Acknowledgements

This work is supported by the National Natural Science Foundation of China (Grant Nos. 11804135, 11764021, 11564018, 61765008, 11804133, 51567011), and the Research Foundation of the Education Department of Jiangxi Province (No. GJJ150339).

References

  1. 1.
    Bennett, C.H., DiVincenzo, D.P., Shor, P.W., Smolin, J.A., Terhal, B.M., Wootters, W.K.: Remote state preparation. Phys. Rev. Lett. 87, 077902 (2001)ADSCrossRefGoogle Scholar
  2. 2.
    Choudhury, B.S., Dhara, A.: Joint remote state preparation for two-qubit equatorial states. Quantum Inf. Process. 14, 373–379 (2015)ADSMathSciNetCrossRefzbMATHGoogle Scholar
  3. 3.
    Liang, H.Q., Liu, J.M., Feng, S.S., Chen, J.G., Xu, X.Y.: Effects of noises on joint remote state preparation via a GHZ-class channel. Quantum Inf. Process. 14, 3857–3877 (2015)ADSMathSciNetCrossRefzbMATHGoogle Scholar
  4. 4.
    Adepoju, A.G., Falaye, B.J., Sun, G.H., Camacho-Nieto, O., Dong, S.H.: Joint remote state preparation (JRSP) of two-qubit equatorial state in quantum noisy channels. Phys. Lett. A. 381, 581–587 (2017)ADSCrossRefGoogle Scholar
  5. 5.
    Shukla, C., Thapliyal, K., Pathak, A.: Hierarchical joint remote state preparation in noisy environment. Quantum Inf. Process. 16(205), (2017)Google Scholar
  6. 6.
    Zhao, H., Huang, L.: Effects of noise on joint remote state preparation of an arbitrary equatorial two-qubit state. Int. J. Theor. Phys. 56, 720–728 (2017)CrossRefzbMATHGoogle Scholar
  7. 7.
    Sang, M.H., Nie, Y.Y.: Deterministic tripartite controlled remote state preparation. Int. J. Theor. Phys. 56, 3092–3095 (2017)CrossRefzbMATHGoogle Scholar
  8. 8.
    Chen, X.B., Ma, S.Y., Su, Y., Zhang, R., Yang, Y.X.: Controlled remote state preparation of arbitrary two and three qubit states via the Brown state. Quantum Inf. Process. 11, 1653–1667 (2012)ADSMathSciNetCrossRefzbMATHGoogle Scholar
  9. 9.
    Wang, C., Zeng, Z., Li, X.H.: Controlled remote state preparation via partially entangled quantum channel. Quantum Inf. Process. 14, 1077–1089 (2015)ADSMathSciNetCrossRefzbMATHGoogle Scholar
  10. 10.
    An, N.B., Bich, C.T.: Perfect controlled joint remote state preparation independent of entanglement degree of the quantum channel. Phys. Lett. A. 378, 3582–3585 (2014)ADSCrossRefzbMATHGoogle Scholar
  11. 11.
    Guan, X.W., Chen, X.B., Yang, Y.X.: Controlled-joint remote preparation of an arbitrary two-qubit state via non-maximally entangled channel. Int. J. Theor. Phys. 51, 3575–3586 (2012)MathSciNetCrossRefzbMATHGoogle Scholar
  12. 12.
    Wang, D., Ye, L.: Multi party-controlled joint remote preparation. Quantum Inf. Process. 12, 3223–3237 (2013)ADSMathSciNetCrossRefzbMATHGoogle Scholar
  13. 13.
    Sharma, V., Shukla, C., Banerjee, S., Pathak, A.: Controlled bidirectional remote state preparation in noisy environment: a generalized view. Quantum Inf. Process. 14, 3441–3464 (2015)ADSMathSciNetCrossRefzbMATHGoogle Scholar
  14. 14.
    Zhang, D., Zha, X., Duan, Y., Yang, Y.Q.: Deterministic controlled bidirectional remote state preparation via a six-qubit entangled state. Quantum Inf. Process. 15, 2169–2179 (2016)ADSMathSciNetCrossRefzbMATHGoogle Scholar
  15. 15.
    Zhang, D., Zha, X.W., Duan, Y.J., Wei, Z.H.: Deterministic controlled bidirectional remote state preparation via a six-qubit maximally entangled state. Int. J. Theor. Phys. 55, 440–446 (2016)CrossRefzbMATHGoogle Scholar
  16. 16.
    Peng, J.Y., Bai, M.Q., Mo, Z.W.: Bidirectional controlled joint remote state preparation. Quantum Inf. Process. 14, 4263–4278 (2015)ADSMathSciNetCrossRefzbMATHGoogle Scholar
  17. 17.
    Wang, X., Mo, Z.: Bidirectional controlled joint remote state preparation via a seven-qubit entangled state. Int. J. Theor. Phys. 56, 1052–1058 (2017)CrossRefzbMATHGoogle Scholar
  18. 18.
    Li, Y.H., Jin, X.M.: Bidirectional controlled teleportation by using nine-qubit entangled state in noisy environments. Quantum Inf. Process. 15, 929–945 (2016)ADSMathSciNetCrossRefzbMATHGoogle Scholar

Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  • Yuan-hua Li
    • 1
    • 2
    Email author
  • Yi Qiao
    • 1
    • 2
  • Ming-huang Sang
    • 1
    • 2
  • Yi-you Nie
    • 1
    • 2
  1. 1.Department of PhysicsJiangxi Normal UniversityNanchangChina
  2. 2.Key Laboratory of Optoelectronic and Telecommunication of Jiangxi ProvinceNanchangChina

Personalised recommendations