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Quantum Random Number Generator for Pulse Laser Phase Fluctuation

Zhen-yang JIN, Xiang-kui WAN, Kai PANG, Meng-han FU, Liu-ping CHEN

Published Dec 1, 2022• 0 citations
Publisher

Abstract

Aiming at the problem that the current Quantum Random Number Generator (QRNG) cannot simultaneously meet the high-speed and real-time requirements of random number generation in quantum key distribution communication, this paper improves the QRNG scheme based on pulse laser as light source to extract phase information. The random phase information is converted into light intensity information by single-mode Michelson interferometer, and then converted into electrical signal by high-speed Photo Detector (PD). Finally, the real-time quantum random number generation rate of 1.1 Gbit/s is obtained by using 16 bit Analog-to-Digital Converter (ADC) with 250 MHz sampling rate and 50% extraction rate. A high-speed, real-time and integrated QRNG equipment is realized. At the same time, the advantages of this scheme and continuous laser as light source in principle and system design are compared. QRNG based on pulsed laser light source has passed various tests of China Academy of Information and Communications. The random number output by the product in the process of stable operation can pass 15 test standards specified in the State Cryptography Administration randomness test document GB/T 32915-2016 and National Institute of Standards and Technology (NIST) test standards.

DOI
10.13756/j.gtxyj.2022.06.005

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Aiming at the problem that the current Quantum Random Number Generator (QRNG) cannot simultaneously meet the high-speed and real-time requirements of random number generation in quantum key distribution communication, this paper improves the QRNG scheme based on pulse laser as light source to extract phase information. The random phase information is converted into light intensity information by single-mode Michelson interferometer, and then converted into electrical signal by high-speed Photo Detector (PD). Finally, the real-time quantum random number generation rate of 1.1 Gbit/s is obtained by using 16 bit Analog-to-Digital Converter (ADC) with 250 MHz sampling rate and 50% extraction rate. A high-speed, real-time and integrated QRNG equipment is realized. At the same time, the advantages of this scheme and continuous laser as light source in principle and system design are compared. QRNG based on pulsed laser light source has passed various tests of China Academy of Information and Communications. The random number output by the product in the process of stable operation can pass 15 test standards specified in the State Cryptography Administration randomness test document GB/T 32915-2016 and National Institute of Standards and Technology (NIST) test standards.
The speed of a quantum random number generator is essential for practical applications, such as high-speed quantum key distribution systems. Here, we push the speed of a quantum random number generator to 68 Gbps by operating a laser around its threshold level. To achieve the rate, not only high-speed photodetector and high sampling rate are needed but also a very stable interferometer is required. A practical interferometer with active feedback instead of common temperature control is developed to meet the requirement of stability. Phase fluctuations of the laser are measured by the interferometer with a photodetector and then digitalized to raw random numbers with a rate of 80 Gbps. The min-entropy of the raw data is evaluated by modeling the system and is used to quantify the quantum randomness of the raw data. The bias of the raw data caused by other signals, such as classical and detection noises, can be removed by Toeplitz-matrix hashing randomness extraction. The final random numbers can pass through the standard randomness tests. Our demonstration shows that high-speed quantum random number generators are ready for practical usage.
In this paper, the prototype of quantum random number generator (QRNG) which is shown by extracting ran- domness from vacuum fluctuation of the electromagnetic field inside the laser cavity. A distributed feedback (DFB) laser diode (LD) is directly modulated to produce short optical pulses. The laser is operated far above and far below the threshold resulting in field of pulse which has a true random phase. The efficient conversion of vacuum fluctuations to random sequence of power of optical pulses is made by homemade Michelson interferom- eter. A proposed device has proven to have far more superior interferometric visibility coupled with high power making it also a cost-effective PIN diode detector as compared to QRNGs based on phase fluctuation modu- lated by constant current. As a result a proposed device is highly integrated using only commercially available components. Due to appropriate realization of our device, we have a good quality of raw random bits that have passed all tests without postprocessing. So the postprocessing doesn't significantly decrease the speed of output random bits. In fact, we have successfully demonstrated a prototype of high speed QRNG at a generation rate of over 1 Gbps.
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.
Quantum random number generators (QRNG) are the prime source of randomness, by exploiting the unpredictable nature of Quantum mechanics QRNG aims to provide a string of completely random utterly unpredictable numbers. QRNGs are crucial for cryptography, scientific calculation, simulation, and many more real-world applications. Our Optical Quantum Random Number Generator (OQRNG) utilizes a high-speed pulsating laser, a Polarizing beam splitter (PBS), photodetectors, and advanced signal processing units that capture and digitize random photon intensity forming the raw random bit stream. This technique is famously known as Branching Path Technique. After that, we implement rigorous testing that encompasses the statistical randomness tests developed by National Institute of Standards and Technology (NIST) to ensure the guaranteed ran-domness meets security standards. A user-friendly Graphic user interface (GUI) simplifies interaction with the QRNG allowing the user to configure device settings, monitor system performance, and securely extract random numbers. Our findings help us demonstrate the superiority of QRNGs over classical random number generators, and highlight the potential of photon-based QRNGs and their environmentally friendly and efficient random number generation.
In this paper, we present a high-speed physical quantum random number generator using analog/digital converter (ADC), which is based on the random time distribution of single photons emitted by the stongly attenuated pulsed laser diode. With this scheme, the generation rate of random numbers can increase more than tenfold. A preliminary experiment consists of the time amplitude converter and 16 bit ADC, and the data generated by the system pass the pseudo-random number test program test standards. The experimental setup is efficient and robust against mechanical and temperature disturbances.
We present a real-time and fully integrated quantum random number generator (QRNG) by measuring laser phase fluctuations. The QRNG scheme based on laser phase fluctuations is featured for its capability of generating ultra-high-speed random numbers. However, the speed bottleneck of a practical QRNG lies on the limited speed of randomness extraction. To close the gap between the fast randomness generation and the slow post-processing, we propose a pipeline extraction algorithm based on Toeplitz matrix hashing and implement it in a high-speed field-programmable gate array. Further, all the QRNG components are integrated into a module, including a compact and actively stabilized interferometer, high-speed data acquisition, and real-time data post-processing and transmission. The final generation rate of the QRNG module with real-time extraction can reach 3.2 Gbps.