[go: up one dir, main page]
Skip to main content

Advertisement

Springer Nature Link
Log in

Joint remote state preparation of arbitrary two-particle states via GHZ-type states

  • Published:
Quantum Information Processing Aims and scope Submit manuscript

    We’re sorry, something doesn't seem to be working properly.

    Please try refreshing the page. If that doesn't work, please contact support so we can address the problem.

Abstract

The protocols for joint remote preparation of an arbitrary two-particle pure state from a spatially separated multi-sender to one receiver are presented in this paper. We first consider the situation of two sender and demonstrate a flexible deterministic joint remote state preparation compared with previous probabilistic schemes. And then generalize the protocol to multi-sender and show that by only adding some classical communication the success probability of preparation can be increased to four times. Finally, using a proper positive operator-valued measure instead of usual projective measurement, we present a new scheme via two non-maximally entangled states. It is shown that our schemes are generalizations of the usual standard joint remote state preparation scheme and more suitable for real experiments with requirements of only Pauli operations.

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

Access this article

Log in via an institution

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

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

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2

Similar content being viewed by others

Explore related subjects

Discover the latest articles, news and stories from top researchers in related subjects.

References

  1. Bennett, C.H., et al.: Teleportation an unknown quantum state via dual classical and Einstein-Podolsky-Rosem channels. Phys. Rev. Lett. 70(13), 1895–1899 (1993)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  2. Bennett, C.H., Wiesner, S.J.: Communication via one- and two-particle operators on Einstein-Podolsky-Rosen states. Phys. Rev. Lett. 69, 2881 (1992)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  3. 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 

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

    Article  ADS  Google Scholar 

  5. 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 

  6. 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 

  7. 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 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  12. 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 

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

    Article  MathSciNet  ADS  MATH  Google Scholar 

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

    Article  MathSciNet  ADS  MATH  Google Scholar 

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

    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)

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

    Article  ADS  Google Scholar 

  18. 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 

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

    Article  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  MATH  Google Scholar 

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

    Article  ADS  Google Scholar 

  23. 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 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  26. Nguyen, B.A., Kim, J.: Collective remote state preparation. Int. J. Quantum Inf. 6, 1051 (2008)

    Article  MATH  Google Scholar 

  27. Nguyen, B.A., Kim, J.: Joint remote state preparation. J. Phys. B At. Mol. Opt. Phys. 41, 095501 (2008)

    Article  ADS  Google Scholar 

  28. Luo, M.X., Deng, Y.: Joint remote preparation of an arbitrary 4-qubit \(\chi \)-state. Int. J. Theor. Phys. 51, 3027–3036 (2012)

    Article  MathSciNet  MATH  Google Scholar 

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

    Article  Google Scholar 

  30. Chen, Q.Q., Xia, Y., Song, J., Nguyen, B.A.: Joint remote state preparation of a W-type state via W-type states. Phys. Lett. A 374, 4483 (2010)

    Article  ADS  MATH  Google Scholar 

  31. Nguyen, B.A.: Joint remote state preparation via W and W-type states. Opt. Commun. 283, 4113 (2010)

    Article  Google Scholar 

  32. Luo, M.X., et al.: Joint remote preparation of an arbitrary three-qubit state. Opt. Commun. 283, 4796 (2010)

    Article  ADS  Google Scholar 

  33. Luo, M.X., et al.: Experiment architecture of joint remote state preparation. Quantum Inf. Process. 11, 751 (2012)

    Google Scholar 

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

    Article  ADS  Google Scholar 

  35. Ozdemir, S.K., Miranowicz, A., Koashi, M., Imoto, N.: Pulse-mode quantum projection synthesis: effects of mode mismatch on optical state truncation and preparation. Phys. Rev. A 66, 053809 (2002)

    Article  ADS  Google Scholar 

  36. Liang, H.Q., Lin, J.M.: Influence of noises on remote state preparation using GHZ state. Commun. Theor. Phys. 50, 643 (2008)

    Article  ADS  Google Scholar 

  37. Lo, H.K., Chau, H.F.: Unconditional security of quantum key distribution over arbitrarily long distances. Science 283, 2050 (1999)

    Article  ADS  Google Scholar 

  38. Yan, F.L., Ding, H.W.: Probabilistic teleportation of an unknown two-particle state with a four-particle pure entangled state and positive operator valued measure. Chin. Phys. Lett. 23, 17 (2006)

    Article  ADS  Google Scholar 

  39. van Enk, S.J., Cirac, J.I., Zoller, P.: Ideal quantum communication over noisy channels: a quantum optical implementation. Phys. Rev. Lett. 78, 4293 (1997)

    Article  ADS  Google Scholar 

  40. Luo, M.-X., et al.: Classical communication costs in quantum information processing. Int. J. Quantum Inf. 5, 1267–1278 (2011)

    Article  Google Scholar 

  41. Song, J.F., Wang, Z.Y.: Controlled remote preparation of a two-qubit state via positive operator-valued measure and two three-qubit entanglements. Int. J. Theor. Phys. 50, 2410 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  42. Hillery, M., Buzek, V., Berthiaume, A.: Quantum secret sharing. Phys. Rev. A 59, 1829–1834 (1999)

    Article  MathSciNet  ADS  Google Scholar 

  43. Gottesman, D.: Theory of quantum secret sharing. Phys. Rev. A 61, 042311 (2000)

    Article  MathSciNet  ADS  Google Scholar 

  44. Guo, G.-P., Guo, G.-C.: Quantum secret sharing without entanglement. Phys. Lett. A 310, 247–251 (2003)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  45. Lance, A.M., et al.: Tripartite quantum state sharing. Phys. Rev. Lett. 92, 177903 (2004)

    Article  ADS  Google Scholar 

  46. Luo, M.X., Deng, Y.: Quantum splitting an arbitrary three-qubit state with \(\chi \)-state. Quantum Inf. Process. 12, 773–784 (2013)

    Google Scholar 

  47. Shi, R.-H., Huang, L.-S., Yang, W., Zhong, H.: Multi-party quantum state sharing of an arbitrary two-qubit state with Bell states. Quantum Inf. Process. 10, 231–239 (2011)

    Google Scholar 

  48. Luo, M.X., et al.: Deterministic remote preparation of an arbitrary W-class state with multiparty. J. Phys. B At. Mol. Opt. Phys. 43, 065501 (2010)

    Google Scholar 

  49. Liu, J.M., Feng, X.L., Oh, C.H.: Remote preparation of arbitrary two- and three-qubit state. Europhys. Lett. 87, 30006 (2009)

    Article  ADS  Google Scholar 

  50. Blatt, R., Wineland, D.: Entangled states of trapped atomic ions. Nature 453, 1008 (2008)

    Article  ADS  Google Scholar 

  51. Wei, L.F., Liu, Y.X., Nori, F.: Controllable coupling between flux qubits. Phys. Rev. Lett. 96, 067003 (2006)

    Article  ADS  Google Scholar 

  52. Zou, X.B., Pahlke, K., Mathis, W.: Generation of an entangled four-photon W state. Phys. Rev. A 66, 044302 (2002)

    Article  ADS  Google Scholar 

  53. Gonta, D., Fritzsche, S., Radtke, T.: Generation of four-partite Greenberger-Horne-Zeilinger and W states by using a high-finesse bimodal cavity. Phys. Rev. A 77, 062312 (2008)

    Article  ADS  Google Scholar 

  54. Bao, X.H., et al.: Optical nondestructive controlled-NOT gate without using entangled photons. Phys. Rev. Lett. 98, 170502 (2007)

    Article  ADS  Google Scholar 

  55. Chen, J., et al.: Demonstration of a quantum controlled-NOT gate in the telecommunications band. Phys. Rev. Lett. 100, 133603 (2008)

    Article  ADS  Google Scholar 

Download references

Acknowledgments

M.X.L. would like to thank Song–Ya Ma for useful helps. This work is supported by the National Natural Science Foundation of China (No. 11226336, 61201253) and the Fundamental Research Funds for the Central Universities (No. SWJTU 11BR174).

Author information

Authors and Affiliations

  1. School of Mathematics and Information Science, Neijiang Normal University, Neijiang, 641100, China

    Jia-Yin Peng

  2. Information Security Laboratory, School of Information Science and Technology, Southwest Jiaotong University, Chengdu, 610031, China

    Ming-Xing Luo

  3. School of Mathematics and Software Science, Sichuan Normal University, Chengdu, 610066, China

    Jia-Yin Peng & Zhi-Wen Mo

Authors
  1. Jia-Yin Peng
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Ming-Xing Luo
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Zhi-Wen Mo
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Ming-Xing Luo.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Peng, JY., Luo, MX. & Mo, ZW. Joint remote state preparation of arbitrary two-particle states via GHZ-type states. Quantum Inf Process 12, 2325–2342 (2013). https://doi.org/10.1007/s11128-013-0530-z

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11128-013-0530-z

Keywords