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Optics Express

Optics Express

  • Editor: Andrew M. Weiner
  • Vol. 21, Iss. 17 — Aug. 26, 2013
  • pp: 20452–20462

4.5 Gbps high-speed real-time physical random bit generator

Anbang Wang, Pu Li, Jianguo Zhang, Jianzhong Zhang, Lei Li, and Yuncai Wang  »View Author Affiliations

Optics Express, Vol. 21, Issue 17, pp. 20452-20462 (2013)

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We report a prototype of high-speed real-time physical random bit generator based on a chaotic laser. The chaotic laser consists of a semiconductor laser with optical feedback in fiber external cavity configuration. The chaotic laser intensity signal is quantized into binary stream by differential comparison which makes the amplitude distribution symmetric with respect to zero mean value. An exclusive-OR gate operation between two raw binary streams from the chaotic signal and its delayed signal is used to overcome the influences of the weak periodicity induced by the external cavity resonance inherent in the chaotic laser. After exclusive-OR operation, the prototype can generate a single fast random bit stream in real time without any off-line processing procedures. Its bit rate can be handily and continuously tuned up to 4.5 Gbps by a trigger clock. Experiment results demonstrate that our generator possesses high-quality randomness with verified by the three-standard-deviation criterion and industry-benchmark statistical tests.

© 2013 OSA

OCIS Codes
(060.4510) Fiber optics and optical communications : Optical communications
(140.1540) Lasers and laser optics : Chaos
(140.5960) Lasers and laser optics : Semiconductor lasers
(190.3100) Nonlinear optics : Instabilities and chaos

ToC Category:
Fiber Optics and Optical Communications

Original Manuscript: May 23, 2013
Revised Manuscript: July 16, 2013
Manuscript Accepted: August 5, 2013
Published: August 23, 2013

Anbang Wang, Pu Li, Jianguo Zhang, Jianzhong Zhang, Lei Li, and Yuncai Wang, "4.5 Gbps high-speed real-time physical random bit generator," Opt. Express 21, 20452-20462 (2013)

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  1. S. Asmussen and P. W. Glynn, Stochastic Simulation: Algorithms and Analysis (Springer-Verlag, 2007).
  2. N. Metropolis and S. Ulam, “The Monte Carlo method,” J. Am. Stat. Assoc.44(247), 335–341 (1949). [CrossRef] [PubMed]
  3. D. R. Stinson, Cryptography: Theory and Practice (CRC Press, 1995).
  4. R. G. Gallager, Principles of Digital Communication (Cambridge University Press, 2008).
  5. C. E. Shannon, “Communication theory of secrecy systems,” Bell Syst. Tech. J.28(4), 656–715 (1949). [CrossRef]
  6. C. S. Petrie and J. A. Connelly, “A noise-based IC random number generator for applications in cryptography,” IEEE Trans. Circ. Syst. I Fundam. Theory Appl.47(5), 615–621 (2000). [CrossRef]
  7. M. Bucci, L. Germani, R. Luzzi, A. Trifiletti, and M. Varanonuovo, “A high-speed oscillator-based truly random number source for cryptographic applications on a Smart Card IC,” IEEE Trans. Comput.52(4), 403–409 (2003). [CrossRef]
  8. R. S. Maddocks, S. Matthews, E. W. Walker, and C. H. Vincent, “A compact and accurate generator for truly random binary digits,” J. Phys. E5(6), 542–544 (1972). [CrossRef]
  9. T. Stojanovski, J. Pihl, and L. Kocarev, “Chaos-based random number generators–Part II: practical realization,” IEEE Trans. Circ. Syst. I Fundam. Theory Appl.48(3), 382–385 (2001). [CrossRef]
  10. M. A. Wayne and P. G. Kwiat, “Low-bias high-speed quantum random number generator via shaped optical pulses,” Opt. Express18(9), 9351–9357 (2010). [CrossRef] [PubMed]
  11. M. Fürst, H. Weier, S. Nauerth, D. G. Marangon, C. Kurtsiefer, and H. Weinfurter, “High speed optical quantum random number generation,” Opt. Express18(12), 13029–13037 (2010). [CrossRef] [PubMed]
  12. W. Wei and H. Guo, “Bias-free true random-number generator,” Opt. Lett.34(12), 1876–1878 (2009). [CrossRef] [PubMed]
  13. M. Wahl, M. Leifgen, M. Berlin, T. Röhlicke, H. Rahn, and O. Benson, “An ultrafast quantum random number generator with provably bounded output bias based on photon arrival time measurements,” Appl. Phys. Lett.98(17), 171105 (2011). [CrossRef]
  14. A. Uchida, K. Amano, M. Inoue, K. Hirano, S. Naito, H. Someya, I. Oowada, T. Kurashige, M. Shiki, S. Yoshimori, K. Yoshimura, and P. Davis, “Fast physical random bit generation with chaotic semiconductor lasers,” Nat. Photonics2(12), 728–732 (2008). [CrossRef]
  15. I. Kanter, Y. Aviad, I. Reidler, E. Cohen, and M. Rosenbluh, “An optical ultrafast random bit generator,” Nat. Photonics4(1), 58–61 (2010). [CrossRef]
  16. A. Argyris, S. Deligiannidis, E. Pikasis, A. Bogris, and D. Syvridis, “Implementation of 140 Gb/s true random bit generator based on a chaotic photonic integrated circuit,” Opt. Express18(18), 18763–18768 (2010). [CrossRef] [PubMed]
  17. X. Z. Li and S. C. Chan, “Random bit generation using an optically injected semiconductor laser in chaos with oversampling,” Opt. Lett.37(11), 2163–2165 (2012). [CrossRef] [PubMed]
  18. P. Li, Y. C. Wang, and J. Z. Zhang, “All-optical fast random number generator,” Opt. Express18(19), 20360–20369 (2010). [CrossRef] [PubMed]
  19. N. Oliver, M. C. Soriano, D. W. Sukow, and I. Fischer, “Dynamics of a semiconductor laser with polarization-rotated feedback and its utilization for random bit generation,” Opt. Lett.36(23), 4632–4634 (2011). [CrossRef] [PubMed]
  20. R. M. Nguimdo, G. Verschaffelt, J. Danckaert, X. Leijtens, J. Bolk, and G. Van der Sande, “Fast random bits generation based on a single chaotic semiconductor ring laser,” Opt. Express20(27), 28603–28613 (2012). [CrossRef] [PubMed]
  21. Y. Y. Zhang, J. Z. Zhang, M. J. Zhang, and Y. C. Wang, “2.87-Gb/s random bit generation based on bandwidth-enhanced chaotic laser,” Chin. Opt. Lett.9, 031404 (2011).
  22. P. Li, Y. C. Wang, A. B. Wang, L. Z. Yang, M. J. Zhang, and J. Z. Zhang, “Direct generation of all-optical random numbers from optical pulse amplitude chaos,” Opt. Express20(4), 4297–4308 (2012). [CrossRef] [PubMed]
  23. B. Qi, Y.-M. Chi, H.-K. Lo, and L. Qian, “High-speed quantum random number generation by measuring phase noise of a single-mode laser,” Opt. Lett.35(3), 312–314 (2010). [CrossRef] [PubMed]
  24. H. Guo, W. Tang, Y. Liu, and W. Wei, “Truly random number generation based on measurement of phase noise of a laser,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys.81(5), 051137 (2010). [CrossRef] [PubMed]
  25. X. Li, A. B. Cohen, T. E. Murphy, and R. Roy, “Scalable parallel physical random number generator based on a superluminescent LED,” Opt. Lett.36(6), 1020–1022 (2011). [CrossRef] [PubMed]
  26. C. R. S. Williams, J. C. Salevan, X. Li, R. Roy, and T. E. Murphy, “Fast physical random number generator using amplified spontaneous emission,” Opt. Express18(23), 23584–23597 (2010). [CrossRef] [PubMed]
  27. A. Argyris, E. Pikasis, S. Deligiannidis, and D. Syvridis, “Sub-Tb/s physical random bit generators based on direct detection of amplified spontaneous emission signals,” J. Lightwave Technol.30(9), 1329–1334 (2012). [CrossRef]
  28. W. Wei, G. Xie, A. Dang, and H. Guo, “High-speed and bias-free optical random number generator,” IEEE EEE Photon. Technol. Lett.24(6), 437–439 (2012). [CrossRef]
  29. Y. Liu, M. Y. Zhu, B. Luo, J. W. Zhang, and H. Guo, “Implementation of 1.6 Tb s−1 truly random number generation based on a super-luminescent emitting diode,” Laser Phys. Lett.10(4), 045001 (2013). [CrossRef]
  30. C. Gabriel, C. Wittmann, D. Sych, R. Dong, W. Mauerer, U. L. Andersen, C. Marquardt, and G. Leuchs, “A generator for unique quantum random numbers based on vacuum states,” Nat. Photonics4(10), 711–715 (2010). [CrossRef]
  31. T. Symul, S. M. Assad, and P. K. Lam, “Real time demonstration of high bitrate quantum random number generation with coherent laser light,” Appl. Phys. Lett.98(23), 231103 (2011). [CrossRef]
  32. M. Jofre, M. Curty, F. Steinlechner, G. Anzolin, J. P. Torres, M. W. Mitchell, and V. Pruneri, “True random numbers from amplified quantum vacuum,” Opt. Express19(21), 20665–20672 (2011). [CrossRef] [PubMed]
  33. Y. Shen, L. Tian, and H. Zou, “Practical quantum random number generator based on measuring the shot noise of vacuum states,” Phys. Rev. A81(6), 063814 (2010). [CrossRef]
  34. A. Rukhin, J. Soto, J. Nechvatal, M. Smid, E. Barker, S. Leigh, M. Levenson, M. Vangel, D. Banks, A. Heckert, J. Dary, and S. Vo, “A Statistical Test Suite for the Validation of Random Number Generators and Pseudo Random Number Generators for Cryptographic Applications”, http://csrc.nist.gov/groups/ST/toolkit/rng/documentation_software.html
  35. S. Lepri, G. Giacomelli, A. Politi, and F. T. Arecchi, “High-dimensional chaos in delayed dynamical systems,” Physica D70(3), 235–249 (1994). [CrossRef]
  36. I. Reidler, Y. Aviad, M. Rosenbluh, and I. Kanter, “Ultrahigh-speed random number generation based on a chaotic semiconductor laser,” Phys. Rev. Lett.103(2), 024102 (2009). [CrossRef] [PubMed]
  37. Y. Wu, Y. C. Wang, P. Li, A. B. Wang, and M. J. Zhang, “Can fixed time delay signature be concealed in chaotic semiconductor laser with optical feedback?” IEEE J. Quantum Electron.48(11), 1371–1379 (2012). [CrossRef]
  38. J. Zhang, Y. Wang, M. Liu, L. Xue, P. Li, A. Wang, and M. Zhang, “A robust random number generator based on differential comparison of chaotic laser signals,” Opt. Express20(7), 7496–7506 (2012). [CrossRef] [PubMed]
  39. J. Zhang, Y. Wang, L. Xue, J. Hou, B. Zhang, A. Wang, and M. Zhang, “Delay line length selection in generating fast random numbers with a chaotic laser,” Appl. Opt.51(11), 1709–1714 (2012). [CrossRef] [PubMed]
  40. T. Honjo, A. Uchida, K. Amano, K. Hirano, H. Someya, H. Okumura, K. Yoshimura, P. Davis, and Y. Tokura, “Differential-phase-shift quantum key distribution experiment using fast physical random bit generator with chaotic semiconductor lasers,” Opt. Express17(11), 9053–9061 (2009). [CrossRef] [PubMed]
  41. S. Sunada, T. Harayama, K. Arai, K. Yoshimura, P. Davis, K. Tsuzuki, and A. Uchida, “Chaos laser chips with delayed optical feedback using a passive ring waveguide,” Opt. Express19(7), 5713–5724 (2011). [CrossRef] [PubMed]
  42. A. Argyris, M. Hamacher, K. E. Chlouverakis, A. Bogris, and D. Syvridis, “Photonic integrated device for chaos applications in communications,” Phys. Rev. Lett.100(19), 194101 (2008). [CrossRef] [PubMed]

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