Summary

Proceedings of the 2012 International Symposium on Nonlinear Theory and its Applications

2012

Session Number:A4L-D

Session:

Number:268

Multi-bit sampling from chaotic time series in random number generation

Kenichi Arai,  Takahisa Harayama,  Peter Davis,  Jun Muramatsu,  Satoshi Sunada,  

pp.268-271

Publication Date:

Online ISSN:2188-5079

DOI:10.15248/proc.1.268

PDF download (525.6KB)

Summary:
We discuss the methods to increase random number generation rates base on the theory which says that nondeterministic macroscopic states can be extracted from the amplification of intrinsic microscopic noise by a chaotic system. The theory guarantees to obtain nondeterministic random number sequences after microscopic noise distributions converge to an invariant density. Here, we focus on the convergence time needed by the methods such as the multi-bit samplings and the post processing. In addition, we consider the measurement noise which affects extracted sequences especially using the multi-bit samplings because the multi-bit samplings need more precise measurements. Taking account of the advantages and the disadvantages, we show that, in some cases, the multi-bit samplings and the post processing are efficient to generate random number sequences at high rates.

References:

[1]

[2] Y. Aizawa, Y. Kikuchi, T. Harayama, K. Yamamoto, M. Ota, and K. Tanaka. Stagnant motions in hamiltonian systems. Prog. Theor. Phys. Suppl, 98:36-82, 1989.

[3] 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. Optics Express, 18(18):18763-18768, 2010.

[4] Takahisa Harayama, Satoshi Sunada, Kazuyuki Yoshimura, Peter Davis, Ken Tsuzuki, and Atsushi Uchida. Fast nondeterministic random-bit generator using on-chip chaos lasers. Physical Review A, 83:031803(R), 2011.

[5] I. Kanter, Y. Aviad, I. Reidler, E. Cohen, and M. Rosenbluh. An optical ultrafast random bit generator. Nature Photonics, 4(1):58-61, 2009.

[6] R. Lang and K. Kobayashi. External optical feedback effects on semiconductor injection laser properties. Quantum Electronics, IEEE Journal of, 16(3):347-355, 1980.

[7] T. Mikami, K. Kanno, K. Aoyama, A. Uchida, T. Ikeguchi, T. Harayama, S. Sunada, K. Arai, K. Yoshimura, and P. Davis. Estimation of entropy rate in a fast physical random-bit generator using a chaotic semiconductor laser with intrinsic noise. Physical Review E, 85(1):016211, 2012.

[8] I. Reidler, Y. Aviad, M. Rosenbluh, and I. Kanter. Ultrahigh-speed random number generation based on a chaotic semiconductor laser. Physical review letters, 103(2):24102, 2009.

[9] S. Sunada T., Harayama, P. Davis, K. Arai, K. Yoshimura, K. Tsuzuki, and A. Uchida. Noise amplification in high dimensional chaotic laser systems and its application to nondeterministic physical random bit generation. Chaos. Submitted.