Skip to main content
Log in

Standard Quantum Teleportation and Controlled Quantum Teleportation of an Arbitrary N-Qubit Information State

  • Published:
International Journal of Theoretical Physics Aims and scope Submit manuscript

Abstract

We explicitly present precise and simple protocols for standard quantum teleportation and controlled quantum teleportation of an arbitrary N-qubit information state and analyse the case of perfect teleportation using general quantum channels and measurement bases. We find condition on resource quantum channel and Bell states for achieving perfect quantum teleportation. We also find the unitary transformation required to be done by Bob for perfect quantum teleportation and discuss the connection with others related works. We also discuss how perfect controlled quantum teleportation demands a correct choice of the measurement basis of additional party.

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  MathSciNet  MATH  Google Scholar 

  2. Einstein, A., Podolsky, B., Rosen, N.: Can Quantum-Mechanical Description of Physical Reality Be Considered Complete’?. Phys. Rev. 47, 777–780 (1935)

    Article  ADS  MATH  Google Scholar 

  3. Bouwmeester, D., Pan, J.W., Mattle, K., Ebil, M., Weinfurter, H., Zeilinger, A.: Experimental quantum teleportation. Nat. Lond 390, 575–579 (1997)

    Article  ADS  Google Scholar 

  4. Boschi, D., Branca, S., De Martini, F., Hardy, L., Popescu, S.: Experimental realization of teleporting an unknownpure quantum state via dual classical andEinstein–Podolsky–Rosen channels. Phys. Rev. Lett 80, 1121–1125 (1998)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  5. Furusawa, A., Sorensen, J.L., Braunstein, S.L., Fuchs, C.A, Kimble, H.J., Polzik, E.S.: Unconditional quantum teleportation. Science 282, 706–709 (1998)

    Article  ADS  Google Scholar 

  6. Chen, P.X., Zhu, S.-Y., Guo, G.C.: General form of genuine multipartite entanglement quantum channels for teleportation. Phys. Rev. A 74, 4 (2006). 032324

    Google Scholar 

  7. Jiang, N.-Q., Wang, Y.-J.: Criterion for Genuine Multipartite Entanglement Quantum Channels. Chin. Phys. Lett 27, 4 (2010). 010302

    Article  Google Scholar 

  8. Ming, D.L., Wei, W.-Y., Mei, J.-X., Zhuang, Z.-Y.: A criterion for quantum teleportation of an arbitrary N-particle state via a 2N-particle quantum channel. Chin. Phys. B 19, 9 (2010). 020307

    Google Scholar 

  9. Qin, Z.X., Min, L.Y., Yun, Z.Z., Wen, Z., Jun, Z.Z.: Simpler criterion and flexibility of operation complexity for perfectly teleporting arbitrary n-qubit state with 2n-qubit pure state. Sci. China Phys. Mech. Astron. 53, 2069–2073 (2010)

    Article  Google Scholar 

  10. Prakash, H., Chandra, N., Prakash, R., Dixit, A.: A generalized condition for teleportation of the quantum state of an assembly of n two-level system. MPLB 21, 2019–2023 (2007)

    Article  ADS  MATH  Google Scholar 

  11. Yang, C.P., Guo, G.C.: Multiparticle Generalization of Teleportation. Chin. Phys. Lett 17, 162 (2000)

    Article  ADS  Google Scholar 

  12. Lee, J., Min, H., Oh, S.D.: Multipartite entanglement for entanglement teleportation. Phys. Rev. A 66, 5 (2002). 052318

    Google Scholar 

  13. Rigolin, G.: Quantum teleportation of an arbitrary two-qubit state and its relation to multipartite entanglement. Phys. Rev. A 71, 5 (2005). 032303

    Article  Google Scholar 

  14. Deng, F.G.: Comment on Quantum teleportation of an arbitrary two-qubit state and its relation to multipartite entanglement. Phys. Rev. A 72, 2 (2005). 036301

    Google Scholar 

  15. Yeo, Y., Chua, W.K.: Teleportation and Dense Coding with Genuine Multipartite Entanglement. Phys. Rev. Lett 96, 4 (2006). 060502

    Article  Google Scholar 

  16. Li, Y.-H., Liu, J.-C., Nie, Y.Y.: Quantum Teleportation and Quantum Information Splitting by Using a Genuinely Entangled Six-Qubit State. Int. J. Theor. Phys. 49, 2592–2599 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  17. Wei, Z. X.: Probabilistic Controlled Teleportation of an Arbitrary Three-Qubit State. Commun. Theor. Phys. 50, 637–639 (2008)

    Article  ADS  MathSciNet  Google Scholar 

  18. Zha, X.-W., Song, H.-Y.: Non-Bell-pair quantum channel for teleporting an arbitrary two-qubit state. Phys. Lett. A 369, 377–379 (2007)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  19. Zha, X.-W., Ren, K.F.: General relation between the transformation operator and an invariant under stochastic local operations and classical communication in quantum teleportation. Phys. Rev. A 77, 4 (2008). 014306

    Google Scholar 

  20. Chen, X.B., Wen, Q.Y., Xu, G., Yang, X.Y., Zhu, F.C.: Comment on General relation between the transformation operator and an invariant under stochastic local operations and classical communication in quantum teleportation. Phys. Rev. A 79, 3 (2009). 036301

    Google Scholar 

  21. Zha, X.W., Ren, K.F.: Reply to Comment on ‘General relation between the transformation operator and an invariant under stochastic local operations and classical communication in quantum teleportation. Phys. Rev. A 79, 2 (2009). 036302

    Article  Google Scholar 

  22. Yun, Z.Z., Min, L. Y., Qin, Z.X., Wen, Z., Jun, Z.Z.: Transformation Operator and Criterion for Perfectly Teleporting Arbitrary Three-Qubit State with Six-Qubit Channel and Bell-State Measurement. Chin. Phys. Lett 26, 4 (2009). 120303

    Google Scholar 

  23. Yan, F., Wang, D.: Probabilistic and controlled teleportation of unknown quantum states. Phys. Lett. A 316, 297–303 (2003)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  24. Yang, C.P., Chu, S.I., Han, S.: Efficient many-party controlled teleportation of multiqubit quantum information via entanglement. Phys. Rev. A 70, 8 (2004). 022329

    Google Scholar 

  25. Deng, F.G., Li, C.Y., Li, Y.S., Zhou, H.Y., Wang, Y.: Symmetric multiparty-controlled teleportation of an arbitrary two-particle entanglement. Phys. Rev. A 72, 8 (2005). 022338

    Google Scholar 

  26. Man, Z.-X., Xia, Y.-J., An, N.B.: Genuine multiqubit entanglement and controlled teleportation. Phys. Rev. A 75, 5 (2007). 052306

    Article  Google Scholar 

  27. Prakash, H., Maurya, A.K.: Quantum teleportation using entangled 3-qubit states and the magic bases. Optics Commun. 284, 5024–5030 (2011)

    Article  ADS  Google Scholar 

Download references

Acknowledgments

We are thankful to Prof. Naresh Chandra and Prof. Ranjana Prakash for their interest and critical comments. We are also thankful to Mr. Ajay K. Yadav and Ms. Anshika Sharma for helpful and stimulating discussions.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Vikram Verma.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Verma, V., Prakash, H. Standard Quantum Teleportation and Controlled Quantum Teleportation of an Arbitrary N-Qubit Information State. Int J Theor Phys 55, 2061–2070 (2016). https://doi.org/10.1007/s10773-015-2846-1

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10773-015-2846-1

Keywords

Navigation