Multiphoton pulses and homodyne tomography attack in quantum-chaotic key distribution

  • R. L. C. Damasceno
  • F. F. S. Rios
  • R. V. RamosEmail author


The quantum-chaotic key distribution (QCKD) in optical networks was introduced in a recent paper. In that work, several differences between QKD and QCKD were pointed out. In this direction, the present work shows that, for a eavesdropper that uses a quantum homodyne attack, the mean photon number used by Alice in the QCKD protocol can be much larger than 0.1 without compromising its security.


Quantum key distribution Homodyne tomography Security analysis 



This study was financed in part by the Coordenação de Aperfeiçoamento de Pessoal de Nível Superior—Brasil (CAPES)—Finance Code 001, and CNPq via Grant No. 307184/2018-8. Also, this work was performed as part of the Brazilian National Institute of Science and Technology for Quantum Information. The authors gratefully acknowledge many helpful discussions with Jonas Söderholm of Federal University of Ceara.


  1. Bourennane, M., Karlsson, A., Björk, G.: Quantum key distribution using multilevel encoding. Phys. Rev. A 64, 012306 (2001)ADSCrossRefGoogle Scholar
  2. de Oliveira, G.L., Ramos, R.V.: Quantum-chaotic cryptography. Quant. Inf. Process. 17, 40 (2018). ADSMathSciNetCrossRefzbMATHGoogle Scholar
  3. Gisin, N., Ribordy, G., Tittel, W., Zbinden, H.: Quantum cryptography. Rev. Mod. Phys. 74, 145–195 (2002)ADSCrossRefGoogle Scholar
  4. Hasegawa, A.: Soliton-based optical communications: an overview. IEEE J. Sel. Top. Quant. Electr. 6, 1161–1172 (2000)ADSCrossRefGoogle Scholar
  5. Lo, H.-K., Zhao, Y.: Quantum cryptography. Comput. Complex. 64, 2453–2477 (2012)MathSciNetCrossRefGoogle Scholar
  6. Nascimento, J.C., Damasceno, R.L.C., de Oliveira, G.L., Ramos, R.V.: Quantum-chaotic key distribution in optical networks: from secrecy to implementation with logistic map. Quantum Inf. Process. 17, 329 (2018). ADSMathSciNetCrossRefzbMATHGoogle Scholar
  7. Raffaelli, F., Ferranti, G., Mahler, D.H., Sibson, P., Kennard, J.E., Santamato, A., Sinclair, G., Bonneau, D., Thompson, M.G., Matthews, J.C.F.: A homodyne detector integrated onto a photonic chip for measuring quantum states and generating random numbers. Quantum Sci. Technol. 3, 025003 (2018)ADSCrossRefGoogle Scholar
  8. Solookinejad, Gh, Jabbari, M., Nafar, M., Sangachin, E.A., Asadpour, S.H.: Theoretical investigation of optical bistability and multistability via spontaneously generated coherence in four-level Rydberg atoms. Int. J. Theor. Phys. 58, 1359–1368 (2019)CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2020

Authors and Affiliations

  1. 1.Laboratory of Quantum Information Technology, Department of Teleinformatic EngineeringFederal University of CearaFortalezaBrazil

Personalised recommendations