Harnessing Nature’s Randomness: Physical Random Number Generator

Geraldo A. Barbosa

Abstract


Random number generators are indispensable for a multi- tude of tasks; from electronic games to secure communications. Most gen- erators have been made either in software or determinist hardwired de- vices such as the Linear-Feedback-Shift-Registers; while gaining in costs or speed, the “random” sequences generated are actually deterministic, obeying clear generating algorithms, despite all randomness appearance of their outputs. From the other side, Nature presents a multitude of sources of true randomness that can be explored. Commercial random generators exist based on physical processes as the source of randomness. Difficulties are always present to extract Nature’s randomness. This paper presents guidelines for construction of a fast (telecommunication speed) Physical Random Number Generator. It discusses the fundamental physical ele- ments involved, technicalities of signal recording and its limitations, and the final bit extraction. The need for randomness tests is emphasized and the impossibility of guaranteeing true randomness of a finite sequence is discussed. 


Keywords


Random; Physical processes; Cryptography

References


A. Einstein: “...I do not approve of the purely statistical way of thinking on which the new theories are founded...”. From a letter to H. A. Lorentz in June 17, 1927, about Quantum Statistics.

http://en.wikipedia.org/wiki/ Pseudorandom− number− generator

16 MHz Quantis-Quantum Random Number Generator, id Quantique SA (http://www.idquantique.com).

For example: 250k bit/sec, True Random Number Generation IC “RPG100B” (http://www.fdk.com/whatsnew-e/release050930-e.html); VIA PadLock RNG. See also a cryptographic system in R. Mingesz, Z. Gingl, L. B. Kish, “Johnson(-like)-Noise-Kirchhoff–loop based secure classical communicator characteristics, for ranges of two to two thousand kilometers, via model-line”, Phys. Letters A 372, 978-984 (2008).

I. Reidler, Y. Aviad, M. Rosenbluh, I. Kanter, “Ultrahigh-Speed Random Number Generation Based on a Chaotic Semiconductor Laser”, Phys. Rev. Letters 103, 024102/1-5 (2009).

G.A. Barbosa, United States Patent #US 7,831,050 B2 (Filed on Dec. 1, 2004; Prior Publication Data Ju. 14, 2005). Fig. 3, descriptions and claims. See also INPI-Brazil, PI0405814-3 (2004).

B. Qi, Y-M Chi, H-K Lo, and L. Qian, “High-speed quantum random num- ber generation by measuring phase noise of a single-mode laser”, Optics Letters 35, 312-314 (2010).

G. A. Barbosa and UFMG Team, Telecomm. Platform, See www.renasic.org.br/comsic/bin/view/LAPROJ/WebHome.

A. Kolmogorov, “Logical Basis for Information Theory and Probability Theory”, IEEE Transactions on Information Theory 14, 662664 (1968).

G. Chaitin, Meta Math!:The Quest for Omega. New York: Pantheon Books, 2005.

R.H.Hadfield,“Single-photon detectors for optical quantum information applications”, Nature Photonics 3, 696-705 (2009).

Z. L. Yan, A. W. Sharpe, J. F. Dynes, A. R. Dixon, and a. J. Shields, “Multi-gigahertz operation of photon counting InGaAs avalanche photodi- odes”, Appl. Phys. Letters 96, 071101/1-3 (2010).

T. Mueller, F. Xia and P. Avouris, “Graphene photodetectors for high- speed optical communications”, Nature Photonics 4, 297 (2010).

R.J. Glauber, “Coherent and Incoherent States of the Radiation field”, Physical Review 131, 2766-2788 (1963). iptions and claims.

L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cam- bridge University Press, New York, 1995).

B. Yurke, Squeezed Light (Course notes, University of Rochester, 1989). [17] J. B. Johnson, “Thermal agitation of electricity in conductors”, Phys. Rev.

, 97-109 (1928).

L. Callegaro, “Unified derivation of Johnson and shot noise expressions”, Am. J. Phys. 74, 438-440 (2006).

C. L. Garrido-Alzar, S. M. de Paula, M. Martinelli, R. J. Horowitz, A. Z. Khoury, G. A. Barbosa, “Transverse Fourier analysis of squeezed light in diode lasers”, J. Opt. Soc. Am. B 18, 1189-1195 (2001).




DOI: https://doi.org/10.17648/enig.v1i1.18

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