Skip to main content
SpringerLink
Log in

Quantum Dialogue Based on Hypertanglement Against Collective Noise

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

Abstract

The major problem faced by photons propagating through a physical channel is that of collective noise. This collective noise has the ability to reduce the number of quantum bits that are transmitted, thereby reduces the message fidelity. The traditional method of noise immunity is the use of entanglement purification, which consumes a lot of quantum resources in accomplishing the joint probability of noise immunity but does not guarantee accurate quantum dialog. In this paper, we investigate a new approach to quantum dialogue in which quantum information can be faithfully transmitted via a noisy channel. we constructs corresponding Decoherence Free Subspace(DFS), the quantum state after the change is in the maximally entangled state, so as to realize the fidelity of quantum dialogue model that can ensure the accuracy and noise resistance, and secret information exchange.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Grover, L.K.: Quantum mechanics helps in searching for a needle in a haystack [J]. Phys. Rev. Lett. 79(2), 325 (1997)

    Article  ADS  Google Scholar 

  2. Muralidharan, S., Kim, J., Lu tkenhaus, N., et al.: Ultrafast and fault-tolerant quantum communication across long distances[J]. Phys. Rev. Lett. 112(25), 250501 (2014)

    Article  ADS  Google Scholar 

  3. Ye, T.Y., Jiang, L.Z.: Quantum dialogue without information leakage based on the entanglement swapping between any two Bell states and the shared secret Bell state[J]. Phys. Scr. 89(1), 015103 (2014)

    Article  ADS  Google Scholar 

  4. Yang, C.W., Tsai, C.W., Hwang, T.: Fault tolerant two-step quantum secure direct communication protocol against collective noises[J]. Sci. China Phys. Mech. Astron. 54(3), 496–501 (2011)

    Article  ADS  Google Scholar 

  5. Li, Xi.-Han., Zhao, Bao.-Kui., Sheng, Yu.-bo., et al.: Complete analysis and generation of hyperentangled Greenberger-Horne-Zeilinger state for photons using quantum-dot spins in optical microcavities arXiv:quant-ph/0904.0056v2 (2010)

  6. Bouwmeester, D., Pan, J.W., Mattle, K., et al.: Experimental quantum teleportation[J]. Nature 390(6660), 575–579 (1997)

    Article  ADS  Google Scholar 

  7. Beige, A., Englert, B.G., Kurtsiefer, C., et al.: Secure communication with a publicly known key[J] arXiv:quant-ph/0111106 (2001)

  8. Bostrom, K., Felbinger, T.: Deterministic secure direct communication using entanglement[J]. Phys. Rev. Lett. 89(18), 187902 (2002)

    Article  ADS  Google Scholar 

  9. Deng, F.G., Long, G.L., Liu, X.S.: Two-step quantum direct communication protocol using the Einstein-Podolsky-Rosen pair block[J]. Phys. Rev. A 68(4), 042317 (2003)

    Article  ADS  Google Scholar 

  10. Zhu, Y., Zhou, J., Lu, X., et al.: Molecular simulations on nanoconfined water molecule behaviors for nanoporous material applications[J]. Microfluidics and nanofluidics 15(2), 191–205 (2013)

    Article  Google Scholar 

  11. Nguyen, B.A.: Quantum dialogue[J]. Phys. Lett. A 328(1), 6–10 (2004)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  12. Shi, G.F.: Bidirectional quantum secure communication scheme based on Bell states and auxiliary particles[J]. Opt. Commun. 283(24), 5275–5278 (2010)

    Article  ADS  Google Scholar 

  13. Wang, R., Li, D., Deng, F.: Quantum Information Splitting of a Two-qubit Bell State Using a Five-qubit Entangled State[J]. Int. J. Theor. Phys., 1–9 (2015)

  14. YE, T., JIANG, L.: Information leakage prevention in quantum dialogue using the measurement correlation after entanglement swapping and decreasing the transmission Efficiency[J]. Acta Photonica Sinica 11, 011 (2013)

    MathSciNet  Google Scholar 

  15. Ye, T.Y., Jiang, L.Z.: Quantum dialogue without information leakage based on the entanglement swapping between any two Bell states and the shared secret Bell state[J]. Phys. Scr. 89(1), 015103 (2014)

    Article  ADS  Google Scholar 

  16. Wei, Z.H., Chen, X.B., Niu, X.X., et al.: The quantum steganography protocol via quantum noisy Channels[J]. Int. J. Theor. Phys., 1–11 (2015)

  17. Ji, X., Zhang, S.: Secure quantum dialogue based on single-photon [J]. Chin. Phys. 15(7), 1418–1420 (2006)

    Article  ADS  Google Scholar 

  18. Ji, Xin., Jin, X.R., Zhang, Y.Q., Zhang S.: Quantum dialogue by using single photons[J]. Acta Sinica Quantum Optica 14(3), 273–276 (2008)

    Google Scholar 

  19. Shi, G.F., Xi, X.Q., Hu, M.L., et al.: Quantum dialogue by using single photons[J]. Opt. Commun. 283(9), 1984–1986 (2010)

    Article  ADS  Google Scholar 

  20. Shi, G.F., Tian, X.L.: Quantum secure dialogue based on single photons and controlled-not operations [J]. J. Mod. Opt. 57(20), 2027–2030 (2010)

    Article  ADS  Google Scholar 

  21. Gao, G., Wang, L.P.: A protocol for bidirectional quantum secure communication based on genuine four-particle entangled states [J]. Commun. Theor. Phys. 54(3), 447–451 (2010)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  22. Xia, Yan., Fan, Lin.-Lin., Hao, Si.-Yang.: Efficient nonlocal entangled state distribution over the collective-noise channel. Quantum Inf. Process 12, 3553–3568 (2013)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  23. Sheng, Yu.-Bo., Deng, Fu.-Guo.: Efficient quantum entanglement distribution over an arbitrary collective-noise channel. PHYSICAL REVIEWA 81, 042332 (2010)

    Article  ADS  Google Scholar 

  24. Niu, Hui.-Chong., Ren, Bao.-Cang., Wang, Tie.-Jun.: Faithful entanglement sharing for quantum communication against collective noise. Int. J. Theor. Phys. 51, 2346–2352 (2012)

    Article  MATH  Google Scholar 

  25. Jing, Yang., Chuan, Wang., Ru, Zhang.: Faithful quantum secure direct communication protocol against collective noise. Chin. Phys. B 19(11), 110306 (2010)

    Article  Google Scholar 

  26. Ye, T.Y., Jiang, L.Z.: Quantum dialogue without information leakage based on the entanglement swapping between any two Bell states and the shared secret Bell state [J]. Phys. Scr. 89(1), 015103 (2014)

    Article  ADS  Google Scholar 

  27. Li, D.F., Wang, R.J., Zhang, F.L.: Quantum information splitting of arbitrary three-qubit state by using four-qubit cluster state and GHZ-state. Int. J. Theor. Phys. 54(4), 1142–1153 (2015)

    Article  MATH  Google Scholar 

  28. Li, D.F., Wang, R.J., Zhang, F.L.: Quantum information splitting of a two-qubit Bell state using a four-qubit entangled state. Chin. Phys. C 39(4), 043103 (2015)

    Article  ADS  Google Scholar 

  29. Li, D.F., Wang, R.J., Zhang, F.L., Deng, F.H.: Quantum information splitting of arbitrary three-qubit state by using seven-qubit entangled state. Int. J. Theor. Phys. 54(6), 2068–2075 (2015)

    Article  MathSciNet  MATH  Google Scholar 

  30. Li, D.F., Wang, R.J., Zhang, F.L., Deng, F.H., Baagyere, Elward.: Quantum information splitting of arbitrary two-qubit state by using four-qubit cluster state and Bell-state. Quantum Inf. Process 14(3), 1103–1116 (2015)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  31. Wang, R.J., Li, D.F., Deng, F.H.: Quantum Information Splitting of a Two-qubit Bell State Using a Five-qubit Entangled State[J]. Int. J. Theor. Phys., 1–9 (2015)

  32. Wang, R.J., Li, D.F., Qin, Z.G.: An immune quantum communication model for dephasing noise using Four-Qubit cluster State[J]. Int. J. Theor. Phys., 1–8 (2015)

  33. Ye, T.Y.: Information leakage resistant quantum dialogue against collective noise. Sci. China Phys. Mech. Astron. 57, 2266–2275 (2014)

    Article  ADS  Google Scholar 

  34. Yang, C.W., Hwang, T.: Quantum dialogue protocols immune to collective noise[J]. Quantum Inf. Process 12(6), 2131–2142 (2013)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  35. Ye, T.Y.: Robust quantum dialogue based on a shared auxiliary logical Bell state against collective noise[J]. Sci. China Phys. Mech. Astron. 45(4), 0301 (2015)

    Google Scholar 

Download references

Acknowledgments

This work is supported by Fundamental Research Funds for the Central Universities(ZYGX2014J051, ZYGX2014J066), Science and Technology projects in Sichuan Province(2015JY0178,2014GZ0109, 2015KZ002,2015JY0030), China Postdoctoral Science Foundation(2015M572464) and The Project-sponsored by OATF, UESTC,this work also is supported by Innovative talents training(Graduate) - Outstanding Doctoral academic support program, UESTC.

Author information

Authors and Affiliations

  1. School of Information and Software Engineering, University of Electronic Science and Technology of China, Chengdu, 610054, China

    Rui-jin Wang, Dong-fen Li, Feng-li Zhang, Zhiguang Qin & Edward Baaguere

  2. Department of Electrical Engineering and Computer Science, Northwestern University, Evanston, IL, Chicago, 60208, USA

    Rui-jin Wang & Huayi Zhan

Authors
  1. Rui-jin Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Dong-fen Li
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Feng-li Zhang
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Zhiguang Qin
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Edward Baaguere
    View author publications

    You can also search for this author in PubMed Google Scholar

  6. Huayi Zhan
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Rui-jin Wang.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Wang, Rj., Li, Df., Zhang, Fl. et al. Quantum Dialogue Based on Hypertanglement Against Collective Noise. Int J Theor Phys 55, 3607–3615 (2016). https://doi.org/10.1007/s10773-016-2989-8

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10773-016-2989-8

Keywords

Search

Navigation