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Applied Physics Letters

Efficient and robust quantum random number generation by photon number detection

M. J. Applegate, O. Thomas, J. F. Dynes, Zhiliang L. Yuan, D. A. Ritchie, Andrew J. Shields

Published Aug 17, 2015• 62 citations
Publisher

Abstract

We present an efficient and robust quantum random number generator based upon high-rate room temperature photon number detection. We employ an electric field-modulated silicon avalanche photodiode, a type of device particularly suited to high-rate photon number detection with excellent photon number resolution to detect, without an applied dead-time, up to 4 photons from the optical pulses emitted by a laser. By both measuring and modeling the response of the detector to the incident photons, we are able to determine the illumination conditions that achieve an optimal bit rate that we show is robust against variation in the photon flux. We extract random bits from the detected photon numbers with an efficiency of 99% corresponding to 1.97 bits per detected photon number yielding a bit rate of 143 Mbit/s, and verify that the extracted bits pass stringent statistical tests for randomness. Our scheme is highly scalable and has the potential of multi-Gbit/s bit rates.

DOI
10.1063/1.4928732

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We demonstrate quantum random number generation based on a photon-number detection scheme with the use of a silicon photomultiplier. We implement a time integral with detector response signals for resolving photon numbers, which are subsequently digitized into a stream of 4-bit sequences with a generation rate of 13.6 Mbit/s. Our generated random bits pass the statistical randomness validation according to the U.S. National Institute of Standards and Technology (NIST) Special Publication 800-22. This scheme is implementable with inexpensive components, and the system can be miniaturized to the size of a plug-and-play portable cryptographic device.
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A robust quantum random number generation methodology has been developed and tested. The physical setup is based on a silicon nanocrystals light source coupled with a Si single photon avalanche diode driving a fully synchronous digital logic in a field-programmable gate array. After detailed analyses of the source and the detector, methods have been developed to make the nonidealities of the system and their consequent drawbacks decoupled from the quality of the generated random numbers. All the statistical tests in the national institute of standards and technology tests suite and the TestU01 Alphabit battery are consistently passed without a postprocessing operation on the raw data and without any feedback action on the photon source or any other parameter of the system. The maximum demonstrated bit-rate reaches 1.68 Mb/s, with an efficiency of 4 bits per detected photon. The modeling proves that the system is not influenced by variations of the internal and external parameters, such as the aging of the components and changing temperature.
We propose and demonstrate a scheme to realize a high-efficiency truly quantum random number generator (RNG) at room temperature. Using an effective extractor with simple time bin encoding method, the avalanche pulses of avalanche photodiode (APD) are converted into high-quality random numbers that are robust to slow varying noise such as fluctuations of pulse intensity and temperature. A light source is compatible but not necessary in this scheme. Therefor the robustness of the system is effective enhanced. The random bits generation rate of this proof-of-principle system is 0.69 Mb/s with double APDs and 0.34 Mb/s with single APD. The results indicate that a high-speed RNG chip based on the scheme is potentially available with an integrable APD array.
A small-sized photonic quantum random number generator, easy to be implemented in small electronic devices for secure data encryption and other applications, is highly demanding nowadays. Here, we propose a compact configuration with Silicon nanocrystals large area light emitting device (LED) coupled to a Silicon photomultiplier to generate random numbers. The random number generation methodology is based on the photon arrival time and is robust against the non-idealities of the detector and the source of quantum entropy. The raw data show high quality of randomness and pass all the statistical tests in national institute of standards and technology tests (NIST) suite without a post-processing algorithm. The highest bit rate is 0.5 Mbps with the efficiency of 4 bits per detected photon.