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Quantum-chaotic cryptography

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Abstract

In this work, it is presented an optical scheme for quantum key distribution employing two synchronized optoelectronic oscillators (OEO) working in the chaotic regime. The produced key depends on the chaotic dynamic, and the synchronization between Alice’s and Bob’s OEOs uses quantum states. An attack on the synchronization signals will disturb the synchronization of the chaotic systems increasing the error rate in the final key.

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References

  1. Goedgebuer, J.-P., Levy, P., Larger, L., Chen, C.-C., Rhodes, W.T.: Optical communication with synchronized hyperchaos generated electrooptically. IEEE J. Quantum Electron. 9(38), 1178–1183 (2002)

    Article  ADS  Google Scholar 

  2. Annovazzi-Lodi, V., Donati, S., Scire, A.: Synchronization of chaotic lasers by optical feedback for cryptographic applications. IEEE J. Quantum Electron. 9(33), 1449–1454 (1997)

    Article  ADS  Google Scholar 

  3. Argyris, A., Syvrids, D., Larger, L., Annovazzi-Lodi, V., Colet, P., Fischer, I., Garcia-Ojalvo, J., Mirasso, C.R., Pesquera, L., Shore, K.A.: Chaos-based communications at high bit rates using commercial fibre-optic links. Nature 437(17), 343–346 (2005)

    Article  ADS  Google Scholar 

  4. Fischer, I., Liu, Y., Davis, P.: Synchronization of chaotic semiconductor laser dynamics on sub-nanosecond time scales and its potential for chaos communication. Phys. Rev. A 62(1), 110–115 (2000)

    Article  Google Scholar 

  5. Jiang, N., Pan, W., Yan, L., Luo, B., Zhang, W., Xiang, S., Yang, L., Zheng, D.: Chaos synchronization and communication in mutually coupled semiconductor lasers driven by a third laser. J. Lightwave Technol. 28(18), 1978–1986 (2010)

    Article  ADS  Google Scholar 

  6. Van Wiggeren, G.D., Roy, R.: Communication with chaotic lasers. Science 279(20), 1198–1200 (1998)

    Article  ADS  Google Scholar 

  7. Liu, X., Pan, W.: Investigation on tunable modulation in the polarization-modulator-based optoelectronic oscilattor. IEEE J. Quantum Electron 2(50), 68–73 (2014)

    Article  ADS  Google Scholar 

  8. Bennett, C. H., Brassard, G.: Quantum cryptography: public key distribution and coin tossing. In: Proceedings of IEEE International Conference on Computers, Systems and Signal Processing, Bangalore, India, p 175 (1984)

  9. Ekert, A.K.: Quantum cryptography based on Bell’s theorem. Phys. Rev. Lett. 67(6), 661 (1991)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  10. Namekata, N., Fuji, G., Inoue, S., Honjo, T., Takesue, H.: Differential phase shift quantum key distribution using single-photon detectors based on a sinusoidally gated InGaAs/InP avalanche photodiode. Appl. Phys. Lett. 91, 011112 (2007)

    Article  ADS  Google Scholar 

  11. Lo, H.-K., Zhao, Y.: Quantum cryptography. In: Encyclopedia of Complexity and Systems Science, vol. 8, pp. 7265–7289. Springer, New York (2009)

  12. Ramos, R.V., Souza, R.F.: Controlling a quantum communication system with synchronized nonlinear fiber ring resonator. Microwave Opt. Technol. Lett. 5(27), 302–304 (2000)

    Article  Google Scholar 

  13. Stojanovic, A.D., Ramos, R.V., Matavulj, P.S.: Authenticated B92 QKD protocol employing synchronized optical chaotic systems. Opt. Quantum Electron. 48, 285 (2016)

    Article  Google Scholar 

  14. Kouomou, Y.C., Colet, P., Larger, L., Gastaud, N.: Mismatch-induced bit error rate in optical chaos communications using semiconductor lasers with electrooptical feedback. IEEE J. Quantum Electron. 2(41), 156–163 (2005)

    Article  Google Scholar 

  15. Cerf, N.J., Iblisdir, S.: Optimal N-to-M cloning of quantum coherent states. quant-ph/0005044, (2000)

  16. Andersen, U.L., Josse, V., Leuchs, G.: Unconditional quantum cloning of coherent states with linear optics. Phys. Rev. Lett. 94, 240503 (2005)

    Article  ADS  Google Scholar 

  17. Cerf, N.J., Krüger, O., Navez, P., Werner, R.F., Wolf, M.M.: Non-Gaussian cloning of quantum coherent states is optimal. Phys. Rev. Lett. 95, 070501 (2005)

    Article  ADS  Google Scholar 

  18. Josse, V., Sabuncu, M., Cerf, N.J., Leuchs, G., Andersen, U.L.: Universal optical amplification without nonlinearity. Phys. Rev. Lett. 96, 163602 (2006)

    Article  ADS  Google Scholar 

  19. Olivares, S., Paris, M.G.A., Andersen, U.L.: Cloning of Gaussian states by linear optics. Phys. Rev. A 73, 062330 (2006)

    Article  ADS  Google Scholar 

  20. Zhai, Z., Guo, J., Gao, J.: Generalization of continuous-variable quantum cloning with linear optics. Phys. Rev. A 73, 052302 (2006)

    Article  ADS  Google Scholar 

  21. Olivares, S., Paris, M.G.A., Andersen, U.L.: Optimal cloning of coherent states by linear optics. Acta Phys. Hung. Ser. B Quantum Electron. 26(3–4), 293–299 (2006)

    Article  Google Scholar 

  22. Mendonça, F.A., Ramos, R.V.: Quantum bit string commitment protocol using polarization of mesoscopic coherent states. Phys. Lett. A 372, 1190–1193 (2008)

    Article  ADS  MathSciNet  MATH  Google Scholar 

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Acknowledgements

This work was supported by the Brazilian agency CNPq via Grant No. 307062/2014-7. Also, this work was performed as part of the Brazilian National Institute of Science and Technology for Quantum Information.

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Correspondence to R. V. Ramos.

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de Oliveira, G.L., Ramos, R.V. Quantum-chaotic cryptography. Quantum Inf Process 17, 40 (2018). https://doi.org/10.1007/s11128-017-1765-x

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