Skip to main content
SpringerLink
Log in

Improved and practical proposal for measurement device independent quantum dialogue

  • Published:
Quantum Information Processing Aims and scope Submit manuscript

Abstract

Quantum dialogue (QD) refers to secure full-duplex quantum communication which was first proposed by Nguyen in 2004. Later on, Tan and Cai (Int J Quant Inf, 2008) pointed the vulnerabilities of Nguyen’s proposal. To enhance the overall security, Maitra (Quant Inf Process, 2017) recently proposed a measurement device independent (MDI) scheme in this direction. In this current initiative, we propose a reference frame independent measurement device independent quantum dialogue (RFI-MDI QD) scheme to obtain the advantages of both practicality and security. To the best of our knowledge, this is the first initiative to combine the ideas of reference frame independence and measurement device independence in the QD regime. Towards approaching this proposal, we analyse the existing dialogue schemes and show that the claim of Tan and Cai regarding Nguyen’s proposal (Phys Lett A, 2004) has to be revisited to remove certain inaccuracies. We also identify some limitations in Maitra’s MDI-QD proposal and suggest suitable modifications. We evaluate the performance of all our proposed schemes by providing formal security proofs and also discuss the relative advantages of our proposals over the conventional message transfer procedures.

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. Bennett, C.H., Brassard, G.: Quantum cryptography: public key distribution and coin tossing. Proc. IEEE Int. Conf. Comput. Syst. Sig. Process. 175, 8 (1984)

    MATH  Google Scholar 

  2. Beige, A., Englert, B.G., Kurstsiefer, C., Weinfurter, H.: Secure communication with a publicly known key. Acta Physica Polonica A 101(3), 357–368 (2002) (also available at quant-ph/0111106)

  3. Bostroem, K., Felbinger, T.: Deterministic secure direct communication using entanglement. Phys. Rev. Lett. 89, 187902 (2002)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  5. Deng, F.-G., Long, G.L.: Secure direct communication with a quantum one-time pad. Phys. Rev. A 69, 052319 (2004)

    Article  ADS  Google Scholar 

  6. Lucamarini, M., Mancini, S.: Secure deterministic communication without entanglement. Phys. Rev. Lett. 94, 140501 (2005)

    Article  ADS  Google Scholar 

  7. Wang, C., Deng, F.-G., Li, Y.-S., Liu, X.-S., Long, G.L.: Quantum secure direct communication with high-dimension quantum superdense coding. Phys. Rev. A 71, 044305 (2005)

    Article  ADS  Google Scholar 

  8. Nguyen, B.A.: Quantum dialogue. Phys. Lett. A 328, 6 (2004)

    Article  MathSciNet  ADS  Google Scholar 

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

    Article  Google Scholar 

  10. Man, Z.X., Xia, Y.J., Nguyen, B.A.: Quantum secure direct communication by using GHZ states and entanglement swapping. J. Phys. B At. Mol. Opt. Phys. 39, 3855–3863 (2006)

  11. Tan, Y.-G., Cai, Q.-Y.: Classical correlation in quantum dialogue. Int. J. Quant. Inf. 6, 325–329 (2008)

    Article  Google Scholar 

  12. Maitra, A.: Measurement device-independent quantum dialogue. Quant. Inf. Process. 16, 305 (2017)

    Article  MathSciNet  ADS  Google Scholar 

  13. Das, N., Paul, G.: Two efficient measurement device independent quantum dialogue protocols. Int. J. Quant. Inf. 18(07), 2050038 (2020)

  14. Lo, H.K., Curty, M., Qi, B.: Measurement-device-independent quantum key distribution. Phys. Rev. Lett. 108, 130503 (2012)

    Article  ADS  Google Scholar 

  15. Wang, C., Song, X.-T., Yin, Z.-Q., Wang, S., Chen, W., Zhang, C.-M., Guo, G.-C., Han, Z.-F.: Phase-reference-free experiment of measurement-device-independent quantum key distribution. Phys. Rev. Lett. 115, 160502 (2015)

    Article  ADS  Google Scholar 

  16. Yin, Z.-Q., Wang, S., Chen, W., Li, H.-W., Guo, G.-C., Han, Z.-F.: Reference-free-independent quantum key distribution immune to detector side channel attacks. Quant. Inf. Process. 13, 1237–1244 (2014)

    Article  MathSciNet  ADS  Google Scholar 

  17. Degiovanni, I.P., Berchera, I.R., Castelletto, S., Rastello, M.L., Bovino, F.A., Colla, A.M., Castagnoli, G.: Quantum dense key distribution. Phys. Rev. A 69, 032310–1 (2004)

    Article  ADS  Google Scholar 

  18. Xia, Y., Song, J., Song, H.S.: Quantum dialogue using non-maximally entangled states based on entanglement swapping. Phys. Scr. 76, 363–369 (2007)

    Article  MathSciNet  ADS  Google Scholar 

  19. Nguyen, B.A.: Quantum dialogue by nonselective measurements. Adv. Nat. Sci. Nanosci. Nanotechnol. 9 (2018)

  20. Nguyen, B.A.: Quantum dialogue mediated by EPR-type entangled coherent states. Quant. Inf. Process. 20 (2021)

  21. Bennet, 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  Google Scholar 

  22. Tomamichel, M., Fehr, S., Kaniewski, J., Wehner, S.: A monogamy-of-entanglement game with applications to device-independent quantum cryptography. Eurocrypt 7881, 609–625 (2013)

    MATH  Google Scholar 

  23. Scarani, V., Acín, A., Ribordy, G., Gisin, N.: Quantum cryptography protocols robust against photon number splitting attacks for weak laser pulse implementations. Phys. Rev. Lett. 92, 057901 (2004)

    Article  ADS  Google Scholar 

  24. Long, G.L., Liu, X.S.: Theoretically efficient high-capacity quantum-key-distribution scheme. Phys. Rev. A 65(3), 032302 (2002)

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

  26. Laing, A., Scarani, V., Rarity, J.G., O’Brien, J.L.: Reference-frame-independent quantum key distribution. Phys. Rev. A 82, 012304 (2010)

  27. Lee, D., Hong, S., Cho, Y.-W., Lim, H.-T., Han, S.-W., Jung, H., Moon, S., Lee, K.J., Kim, Y.-S.: Reference-frame-independent, measurement-device-independent quantum key distribution using fewer quantum states. Optics Lett. 45(9), 2624–2627 (2020)

    Article  ADS  Google Scholar 

Download references

Acknowledgements

The authors would like to thank the anonymous reviewers for their detailed comments that improved the editorial, as well as the technical quality of this article.

Author information

Authors and Affiliations

  1. Applied Statistics Unit, Indian Statistical Institute, Kolkata, 700108, India

    Jyotirmoy Basak & Subhamoy Maitra

  2. TCG Centre for Research and Education in Science and Technology, Kolkata, 700091, India

    Arpita Maitra

Authors
  1. Jyotirmoy Basak
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Arpita Maitra
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Subhamoy Maitra
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Basak, J., Maitra, A. & Maitra, S. Improved and practical proposal for measurement device independent quantum dialogue. Quantum Inf Process 20, 361 (2021). https://doi.org/10.1007/s11128-021-03271-1

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s11128-021-03271-1

Keywords

Search

Navigation