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arXiv:0908.2893 · Physical Review E

Truly random number generation based on measurement of phase noise of a laser

Hong Mei Guo, Wenzhuo Tang, Yu Liu, Wei Wei

Published May 27, 2010• 180 citations
arXivHTMLPDF

Abstract

We present a simple approach to realize truly random number generator based on measuring the phase noise of a single-mode vertical cavity surface emitting laser. The true randomness of the quantum phase noise originates from the spontaneous emission of photons and the random bit generation rate is ultimately limited only by the laser linewidth. With the final bit generation rate of 20 Mbit/s, the truly random bit sequence guaranteed by the uncertainty principle of quantum mechanics passes the three standard randomness tests (ENT, Diehard, and NIST Statistical Test Suites). Moreover, a continuously generated random bit sequence, with length up to 14 Gbit, is verified by two additional criteria for its true randomness.

DOI
10.1103/physreve.81.051137

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We present a simple setup to implement truly random number generator based on the measurement of the laser phase noise. From the entropy point of view, we estimate the number of truly random bits that can be extracted from the sampled Byte. With a simple method of adopting the mmm-least-significant-bit, we amplify the entropy of the original bit sequence and realize a truly random bit generation rate of 300300300 Mbps.
We present a random number generation scheme based on measuring the phase fluctuations of a laser with a simple experimental setup. A simple model is established to analyze the randomness and the simulation result based on this model fits well with the experiment data. After the analog to digital sampling and suitable randomness extraction integrated in the field programmable gate array, the final random bits are delivered to a PC, realizing a 5.4 Gbps real time quantum random number generation. The final random bit sequences have passed all the NIST and DIEHARD tests.