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Correlations of Multiplexed Quantum Ghost Images and Improvement of the Quality of Restored Image

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Journal of Russian Laser Research Aims and scope

Abstract

The currently used ghost-image schemes traditionally involve two-mode entangled light states or incoherent radiation. Here, we consider the application of four-mode entangled light states and show that multiplexed ghost images (MGI) formed by four-mode entangled quantum light states have mutual spatial correlations determined by the eighth-order field correlation functions. We develop a special algorithm to calculate high-order correlations of Bose operators. We also demonstrate that accounting of the MGI correlations allows us to improve the quality of the restored image of an object while processing the MGI by the measurement reduction method. We carry out computer modeling of the image recovery from the MGI. We establish that in the considered example the signal-to-noise ratio of the reduced ghost image is 4.6 times higher than the best signal-to-noise ratio for the ghost images themselves.

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References

  1. A. V. Belinskii and D. N. Klyshko, J. Exp. Theor. Phys., 78, 259 (1994).

    ADS  Google Scholar 

  2. J. H. Shapiro and R. W. Boyd, Quantum Inform. Process., 11, 949 (2012).

    Article  Google Scholar 

  3. B. I. Erkman and J. H. Shapiro, Adv. Opt. Photon., 2, 405 (2010).

    Article  Google Scholar 

  4. A. Gatti, E. Brambilla, M. Bache, and L. A. Lugiato, “Ghost imaging,” in: M. I. Kolobov (Ed.), Quantum Imaging, Springer, New York (2007), Ch. 5, p. 79.

  5. E. D. Lopaeva and M. V. Chekhova, JETP Lett., 91, 447 (2010).

    Article  ADS  Google Scholar 

  6. A. S. Chirkin, JETP Lett., 102, 404 (2015).

    Article  ADS  Google Scholar 

  7. D.-J. Zhang, H.-G. Li, Q.-L. Zhao, et al., Phys. Rev. A, 92, 013823 (2015).

    Article  ADS  Google Scholar 

  8. A. S. Chirkin, JETP Lett., 103, 282 (2016).

    Article  ADS  Google Scholar 

  9. Ch.-L. Luo and L.-Q. Zhuo, Laser Phys. Lett., 14, 015201 (2017).

    Article  ADS  Google Scholar 

  10. H. Yu, R. Lu, S. Han, et al., Phys. Rev. Lett., 117, 113901 (2016).

    Article  ADS  Google Scholar 

  11. D. Pelliccia, A. Rack, M. Scheel, et al., Phys. Rev. Lett., 117, 113902 (2016).

    Article  ADS  Google Scholar 

  12. D. W. Youngner, L. M. Lust, and R. W. Boyd, “Correlated ghost imager,” US Patent 7767968 B2 (2010).

  13. P. Ryczkowski, M. Barbier, A. T. Friberg, et al., Nature Photon., 10, 176 (2016).

    Article  ADS  Google Scholar 

  14. A. S. Chirkin and I. V. Shutov, JETP Lett., 86, 693 (2008).

    Article  ADS  Google Scholar 

  15. A. S. Chirkin and I. V. Shutov, J. Exp. Theor. Phys., 109, 547 (2009).

    Article  ADS  Google Scholar 

  16. H. Suchowski, B. D. Bruner, Yo. Israel, et al., Appl. Phys. B, 122, 25 (2016).

  17. M. Yu. Saygin and A. S. Chirkin, J. Exp. Theor. Phys., 111, 11 (2010).

    Article  ADS  Google Scholar 

  18. T. V. Tlyachev, A. M. Chebotarev, and A. S. Chirkin, Phys. Scr., T160, 014041 (2014).

    Article  ADS  Google Scholar 

  19. M. Yu. Saygin, Laser Phys. Lett., 13, 105203 (2016).

    Article  ADS  Google Scholar 

  20. V. B. Berestetskii, E. M. Lifshitz, and L. P. Pitaevskii, Quantum Electrodynamics. Course of Theoretical Physics, 2nd ed., Butterworth-Heinemann (1982), Vol. 4.

  21. Yu. P. Pyt’ev, Mathematical Modeling Methods of Computer-Aided Measuring Systems, 3rd ed. [in Russian], Fizmatlit, Moscow (2012).

  22. D. A. Balakin and A. V. Belinsky, J. Exp. Theor. Phys., 122, 787 (2016).

    Article  ADS  Google Scholar 

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Correspondence to D. A. Balakin.

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Balakin, D.A., Belinsky, A.V. & Chirkin, A.S. Correlations of Multiplexed Quantum Ghost Images and Improvement of the Quality of Restored Image. J Russ Laser Res 38, 164–172 (2017). https://doi.org/10.1007/s10946-017-9630-z

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  • DOI: https://doi.org/10.1007/s10946-017-9630-z

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