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A high-speed quantum random number generator prototype

Feihu Xu, Bing Qi, He Xu, Jiancheng Xuan, Xiongfeng Ma, Hoi‐Kwong Lo, Li Qian

Published Jan 1, 2013• 3 citations
Publisher

Abstract

We present a high-speed real-time quantum random number generator prototype by measuring the quantum phase noise of a laser. The simplicity and robustness of our design suggest that it is readily commercialized for practical applications.
DOI
10.1364/cleo_at.2013.jw2a.58

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Random Number Generators (RNGs) are crucial for applications ranging from cryptography to simulations. Depending on the source of randomness, RNGs are classified into Pseudo-Random Number Generators (PRNGs), True Random Number Generators (TRNGs), and Quantum Random Number Generators (QRNGs). This work presents the end-to-end development of a high-speed, high-efficiency, phase-noise-based QRNG system that taps into the quantum phase noise of a single-frequency laser, with randomness originating from spontaneous emission. Using a self-heterodyne measurement with a semiconductor laser (linewidth ≈\approx≈ 5.23 GHzGHzGHz) operated near threshold and a $\sim$48 cmcmcm fiber delay line, a raw data generation rate of 2.0 GbpsGbpsGbps is achieved. To ensure uniform randomness in the QRNG output, robust extraction techniques developed in-house, such as the Toeplitz Strong Extractor (TSE), are used. Randomness validation using the NIST and Diehard test suites confirms that all statistical tests pass at standard confidence levels. The developed system achieves a post-processed generation rate of 1.0 GbpsGbpsGbps in operation and attains a Technology Readiness Level (TRL) of 7, approaching TRL 8, making it suitable for real-time secure applications such as cryptographic key generation and stochastic modeling.
We demonstrate a quantum random number generator based on the random nature of the phase difference between two independent laser sources. The speed of random bit generation is determined by the photodetector bandwidth and the linewidth of the lasers used. The system implemented is robust and generates a probability distribution of quantum origin which is intrinsically uniform and thus in principle needs no randomness extraction. The phase is measured with telecom equipment routinely used for high capacity coherent optical communications, which allows to keep track of the phase drift of the lasers and is readily available in the telecommunication industry.
We present a simple and robust construction of a real-time quantum random number generator. Our minimalist approach ensures stable operation of the device as well as its simple and straightforward hardware implementation as a stand-alone module. As a source of randomness the device uses measurements of time intervals between clicks of a single-photon detector. The obtained raw sequence is then filtered and processed by a deterministic randomness extractor, which is realized as a look-up table. This enables high-speed on-the-fly processing without the need of extensive computations. The overall performance of the device is around 1 random bit per detector click, resulting in 1.2 Mbit/s generation rate in our implementation.
High-speed QRNG devices typically involve high costs and complex designs, limiting their accessibility. However, in many practical applications, simpler, low-cost QRNG devices are preferred due to their ability to provide easily deployable, cost-effective solutions that meet basic randomness requirements in environments where speed and complexity are not critical. This paper presents a quantum random number generator (QRNG) that uses the uncertainty in the number of photons in a stimulated emission state as a quantum noise source. This design allows for real-time random number generation using low-cost components. The final random bit sequences generated by our QRNG successfully pass all NIST SP800-22 and AIS31 statistical tests with the post-processing stage, demonstrating its reliability and practicality.