Skip to main content
Log in

Joint remote state preparation for two-qubit equatorial states

  • Published:
Quantum Information Processing Aims and scope Submit manuscript

Abstract

In this paper, we propose a protocol of joint remote state preparation of an equatorial two-qubit pure quantum state using GHZ states, performing projective measurements and appropriate unitary operations. The probability of success of our scheme is shown to increase if one of the parties holding the partial information transmits the information classically to the receiver.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Bennett, C.H., Brassard, G., Crepeau, C., Jozsa, R., Peres, A., Wootters, W.K.: Teleporting an unknown quantum state via dual classical and Einstein–Podolsky–Rosen channels. Phys. Rev. Lett. 70, 1895–1899 (1993)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  2. Vaidman, L.: Teleportation of quantum states. Phys. Rev. A 49, 1473–1476 (1994)

    Article  ADS  MathSciNet  Google Scholar 

  3. Kim, Y.H., Kulik, S.P., Shih, Y.: Quantum teleportation of a polarization state with a complete bell state measurement. Phys. Rev. Lett. 86, 1370 (2001)

    Article  ADS  Google Scholar 

  4. Barrett, M.D., Chiaverini, J., Schaetz, T., Britton, J., Itano, W.M., Jost, J.D., Knill, E., Langer, C., Leibfried, D., Ozeri, R., Wineland, D.J.: Deterministic quantum teleportation of atomic qubits. Nature 429, 737 (2004)

    Article  ADS  Google Scholar 

  5. Leuenberger, M.N., Flatte, M.E., Awschalom, D.D.: Teleportation of electronic many-qubit states encoded in the electron spin of quantum dots via single photons. Phys. Rev. Lett. 94, 107401 (2005)

    Article  ADS  Google Scholar 

  6. Cardoso, W.B., Avelar, A.T., Baseia, B., Almeida, N.G.D.: Teleportation of entangled states without Bell-state measurement. Phys. Rev. A 72, 045802 (2005)

    Article  ADS  Google Scholar 

  7. Olmschenk, S., Matsukevich, D.N., Maunz, P., Hayes, D., Duan, L.M., Monroe, C.: Quantum teleportation between distant matter qubits. Science 323, 486 (2009)

    Article  ADS  Google Scholar 

  8. Lo, H.K.: Classical-communication cost in distributed quantum-information processing: a generalization of quantum-communication complexity. Phys. Rev. A 62, 012313 (2000)

    Article  ADS  Google Scholar 

  9. Pati, A.K.: Minimum cbits for remote preperation and measurement of a qubit. Phys. Rev. A 63, 014302 (2001)

    Article  ADS  Google Scholar 

  10. 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)

    Article  ADS  Google Scholar 

  11. Devetak, I., Berger, T.: Low-entanglement remote state preparation. Phys. Rev. Lett. 87, 197901 (2001)

    Article  ADS  Google Scholar 

  12. Zeng, B., Zhang, P.: Remote-state preparation in higher dimension and the parallelizable manifold \(S^{n-1}\). Phys. Rev. A 65, 022316 (2002)

    Article  ADS  Google Scholar 

  13. Kurucz, Z., Adam, P., Janszky, J.: General criterion for oblivious remote state preparation. Phys. Rev. A 73, 062301 (2006)

    Article  ADS  Google Scholar 

  14. Hayashi, A., Hashimoto, T., Horibe, M.: Remote state preparation without oblivious conditions. Phys. Rev. A 67, 052302 (2003)

    Article  ADS  Google Scholar 

  15. Abeyesinghe, A., Hayden, P.: Generalized remote state preparation: trading cbits, qubits, and ebits in quantum communication. Phys. Rev. A 68, 062319 (2003)

    Article  ADS  Google Scholar 

  16. Paris, M.G.A., Cola, M., Bonifacio, R.: Remote state preparation and teleportation in phase space. J. Opt. B 5, S360 (2003)

    Article  ADS  Google Scholar 

  17. Berry, D.W., Sanders, B.C.: Optimal remote state preparation. Phys. Rev. Lett. 90, 057901 (2003)

    Article  ADS  Google Scholar 

  18. Yu, Y.F., Feng, J., Zhan, M.S.: Preparing remotely two instances of quantum state. Phys. Lett. A 310, 329 (2003)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  19. Ye, M.Y., Zhang, Y.S., Guo, G.C.: Faithful remote state preparation using finite classical bits and a non maximally entangled state. Phys. Rev. A 69, 022310 (2004)

    Article  ADS  Google Scholar 

  20. Berry, D.W.: Resources required for exact remote state preparation. Phys. Rev. A 70, 062306 (2004)

    Article  ADS  Google Scholar 

  21. Babichev, S.A., Brezger, B., Lvovsky, A.L.: Remote preparation of a single-mode photonic qubit by measuring field quadrature noise. Phys. Rev. Lett. 92, 047903 (2004)

    Article  ADS  Google Scholar 

  22. Gour, G., Sanders, B.C.: Remote preparation and distribution of bipartite entangled states. Phys. Rev. Lett. 93, 260501 (2004)

    Article  ADS  Google Scholar 

  23. Huang, Y.X., Zhan, M.S.: Remote preparation of multipartite pure state. Phys. Lett. A 327, 404 (2004)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  24. Kurucz, Z., Adam, P., Kis, Z., Janszky, J.: Continuous variable remote state preparation. Phys. Rev. A 72, 052315 (2005)

    Article  ADS  Google Scholar 

  25. Bennett, C.H., et al.: Remote preparation of quantum states. IEEE Trans. Inf. Theory 51, 56 (2005)

    Article  MATH  Google Scholar 

  26. Peters, N.A., et al.: Remote state preparation: arbitrary remote control of photon polarization. Phys. Rev. Lett. 94, 150502 (2005)

    Article  ADS  Google Scholar 

  27. Rosenfeld, W., et al.: Remote preparation of an atomic quantum memory. Phys. Rev. Lett. 98, 050504 (2007)

    Article  ADS  Google Scholar 

  28. Barreiro, J.T., Wei, T.C., Kwiat, P.G.: Remote preparation of single-photon “Hybrid” entangled and vector-polarization states. Phys. Rev. Lett. 105, 030407 (2010)

    Article  ADS  Google Scholar 

  29. Luo, M.X., et al.: The faithful remote preparation of general quantum states. Quantum Inf. Process. 12, 279–294 (2013)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  30. Xia, Y., Song, J., Song, H.S.: Multiparty remote state preparation. J. Phys. B 40, 3719 (2007)

    Article  ADS  Google Scholar 

  31. Xia, Y., Song, J., Song, H.S., Guo, J.L.: Multiparty remote state preparation with linear optical elements. Int. J. Quantum Inf. 6, 1127 (2008)

    Article  MATH  Google Scholar 

  32. Nguyen, B.A., Kim, J.: Joint remote state preparation. J. Phys. B 41, 095501 (2008)

  33. Nguyen, B.A., Kim, J.: Collective remote state preparation. Int. J. Quantum Inf. 6, 485 (2008)

  34. Nguyen, B.A.: Joint remote preparation of a general two-qubit state. J. Phys. B 42, 125501 (2009)

  35. Bang, Z.Y., Yong, Z.Q., Jin, S.: Probabilistic joint remote preparation of a high-dimensional equatorial quantum state. Chin. Phys. B 19, 080310 (2010)

  36. Xiao, X.Q., Liu, J.M., Zeng, G.: Joint remote state preparation of arbitrary two- and three-qubit states. J. Phys. B 44, 075501 (2011)

  37. Peng, J.Y., Luo, M.X., Mo, Z.W.: Joint remote state preparation of arbitrary two-particle states via GHZ-type states. Quantum Inf. Process. 12, 2325–2342 (2013)

    Article  ADS  MATH  MathSciNet  Google Scholar 

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

    MATH  Google Scholar 

  39. Buscemi, F., D’Ariano, G.M., Macchiavello, C.: Economical Phase-Covariant Cloning of Qudits. Phys. Rev. A 71, 042327 (2005)

  40. Rezakhani, A.T., Siadatnejad, S., Ghaderi, A.H.: Separability in Asymmetric Phase-Covariant Cloning. Phys. Lett. A 336, 278 (2005)

Download references

Acknowledgments

This work is supported by the University Grants Commission of India. The support is gratefully acknowledged. The authors gratefully acknowledge the valuable suggestions made by the referee.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Arpan Dhara.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Choudhury, B.S., Dhara, A. Joint remote state preparation for two-qubit equatorial states. Quantum Inf Process 14, 373–379 (2015). https://doi.org/10.1007/s11128-014-0835-6

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11128-014-0835-6

Keywords

Navigation