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Quantum clock synchronization under decoherence effect

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Abstract

In this paper, we investigate the synchronization of two quantum clocks using entangled qubits, and examine how environmental noise affects the system’s phase through decoherence theory. We demonstrate that, under certain conditions, the error in the final result of clock synchronization can be lower than that of current classical and quantum methods. Finally, we model the environment appropriately and apply an error correction method that takes into account the mean of the outcome over time, thus rendering the error of this method negligible.

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References

  1. N. Gisin, G. Ribordy, W. Tittel, H. Zbinden, Rev. Mod. Phys. 74, 145 (2002)

    Article  ADS  Google Scholar 

  2. V. Scarani, H. Bechmann-Pasquinucci, N.J. Cerf, M. Dusek, N. Lutkenhaus, M. Peev, Rev. Mod. Phys. 81, 1301 (2009)

    Article  ADS  Google Scholar 

  3. K.M.K. Vandersypen, M. Steffen, G. Breyta, C.S. Yannoni, M.H. Sherwood, I.L. Chuang, Nature 414, 883–887 (2001)

    Article  ADS  Google Scholar 

  4. R. Bedington, J.M. Arrazola, A. Ling, Quantum Inf. 3, 30 (2017)

    Article  Google Scholar 

  5. J. Yin et al., Science 356, 1140–1144 (2017)

    Article  Google Scholar 

  6. J.G. Ren et al., Nature 549, 43–47 (2017)

    Article  ADS  Google Scholar 

  7. B. Sundararaman, U. Buy, A.D. Kshemkalyani, Ad hoc Newt. 3, 281–323 (2005)

    Article  Google Scholar 

  8. A. Einstein, Ann der phys. 17, 891–921 (1905)

    Article  ADS  Google Scholar 

  9. A.S. Eddington, The Mathematical Theory of Relativity (Cambridge University Press, Cambridge, England, 1924)

    Google Scholar 

  10. A.D. Ludlow, M.M. Boyd, J. Ye, E. Peik, P.O. Schmidt, Rev. Mod. Phys. 87, 637 (2015)

    Article  ADS  Google Scholar 

  11. E. Samain et al., Metrologia 52, 423 (2015)

    Article  ADS  Google Scholar 

  12. S. Zhou et al., Sci, China Phys., Mech. Astron. 59, 109511 (2016)

    Article  Google Scholar 

  13. R. Jozsa, D.S. Abrams, J.P. Dowling, C.P. Williams, Phys. Rev. Lett. 85, 2010–2013 (2000)

    Article  ADS  Google Scholar 

  14. C. Ren, H.F. Hofmann, Phys. Rev. A 86, 014301 (2011)

    Article  ADS  Google Scholar 

  15. X. Kong, T. Xin, S. J. Wei, B. Wang, Y. Wang, K. Li, G. L. Long, Implementation of Multiparty Quantum Clock Synchronization. arXive preprint arXiv:1708.06050 (2017)

  16. J.E. Martinez, P. Fuentes, P.M. Crespo, J. Garcia-Frias, IEEE Access 8, 172623–172643 (2020)

    Article  Google Scholar 

  17. P. Botsinis, Z. Babar, D. Alanis, D. Chandra, H. Nguyen, S.X. Ng, L. Hanzo, Sci. Rep. 6, 38095 (2016)

    Article  ADS  Google Scholar 

  18. M.R. Habibi, S. Golestan, A. Soltanmanesh, J.M. Guerrero, J.C. Vasquez, Electronics 11, 2919 (2022)

    Article  Google Scholar 

  19. M. Seifi, A. Soltanmanesh, A. Shafiee, Sci. Rep. 12, 9237 (2022)

    Article  ADS  Google Scholar 

  20. A. Soltanmanesh, H.R. Naeij, A. Shafiee, Sci. Rep. 10, 9045 (2020)

    Article  ADS  Google Scholar 

  21. A. Soltanmanesh, A. Shafiee, Eur. Phys. J. Plus 134, 282 (2019)

    Article  Google Scholar 

  22. E.O. Ilo-Okeke, L. Tessler, J.P. Dowling, T. Byrnes, npj Quant. Inf. 4, 40 (2018)

    Google Scholar 

  23. S. Maniscalco, J. Piilo, F. Intravaia, F. Petruccione, A. Messina, Phys. Rev. A 70, 032113 (2004)

    Article  ADS  MathSciNet  Google Scholar 

  24. V. Gorini, A. Kossakowski, E.C.G. Sudarshan, J. Math. Phys. 17, 821 (1976)

    Article  ADS  Google Scholar 

  25. S. Maniscalco, F. Intravia, J. Piilo, A. Messina, J. Opt. B: Quantum Semiclassical Opt. 6, S98 (2004)

    Article  ADS  Google Scholar 

  26. M.A. Schlosshauer, Decoherence: and the Quantum-to-Classical Transition (Springer Science & Business Media, 2007)

    Google Scholar 

  27. D. Sathyamoorthy et al., Earth. IOP Cong. Ser.: Environ. Sci. 37, 012013 (2016)

    Google Scholar 

  28. R. Quan et al., Sci. Rep. 6, 30453 (2016)

    Article  ADS  Google Scholar 

Download references

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Authors and Affiliations

  1. Department of Electrical Engineering, Shahid Sattari Aeronautical University of Science and Technology, Tehran, Iran

    Bagher Noorbakhsh & Mehdi Aslinezhad

Authors
  1. Bagher Noorbakhsh
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  2. Mehdi Aslinezhad
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Contributions

BN proposed the idea. MA contributed in writing the manuscript, extended the idea, did the calculations and wrote the manuscript.

Corresponding author

Correspondence to Mehdi Aslinezhad.

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Noorbakhsh, B., Aslinezhad, M. Quantum clock synchronization under decoherence effect. Appl. Phys. B 130, 37 (2024). https://doi.org/10.1007/s00340-024-08175-3

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