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arXiv:1805.08935 · Review of Scientific Instruments

6 Gbps real-time optical quantum random number generator based on vacuum fluctuation

Ziyong Zheng, Yichen Zhang, Weinan Huang, Song Yu, Hong Mei Guo

Published Apr 1, 2019• 95 citations
arXivHTMLPDF

Abstract

We demonstrate a 6 Gbps real-time optical quantum random number generator by measuring vacuum fluctuation. To address the common problem that speed gap exists between fast randomness generation and slow randomness extraction in most high-speed real-time quantum random number generator systems, we present an optimized extraction algorithm based on parallel implementation of Toeplitz hashing to reduce the influence of classical noise due to the imperfection of devices. Notably, the real-time rate of randomness extraction we have achieved reaches the highest speed of 12 Gbps by occupying less computing resources, and the algorithm has the ability to support hundreds of Gbps randomness extraction. By assuming that the eavesdropper with complete knowledge of the classical noise, our generator has a randomness generation speed of 6.83 Gbps and this supports the generation of 6 Gbps information-theoretically provable quantum random numbers, which are output in real-time through peripheral component interconnect express interface.

DOI
10.1063/1.5078547

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We demonstrate a 6 Gbps real-time optical quantum random number generator by measuring vacuum fluctuation. To address the common problem that speed gap exists between fast randomness generation and slow randomness extraction in most high-speed real-time quantum random number generator systems, we present an optimized extraction algorithm based on parallel implementation of Toeplitz hashing to reduce the influence of classical noise due to the imperfection of devices. Notably, the real-time rate of randomness extraction we have achieved reaches the highest speed of 12 Gbps by occupying less computing resources, and the algorithm has the ability to support hundreds of Gbps randomness extraction. By assuming that the eavesdropper with complete knowledge of the classical noise, our generator has a randomness generation speed of 6.83 Gbps and this supports the generation of 6 Gbps information-theoretically provable quantum random numbers, which are output in real-time through peripheral component interconnect express interface.
The quantum random number generation exploits inherent randomness of quantum mechanical processes and measurements. The real-time generation rate of quantum random numbers is usually limited by electronic bandwidth and data processing rates. Here we use a multiplexing scheme to create a fast real-time quantum random number generator based on continuous variable vacuum fluctuations. Multiple sideband frequency modes of a quantum vacuum state within a homodyne detection bandwidth are concurrently extracted as the randomness source. Parallel postprocessing of raw data from three subentropy sources is realized in one field-programmable gate array (FPGA) based on Toeplitz-hashing extractors. A cumulative generation rate of 8.25 Gbps in real time is achieved. The system relies on optoelectronic components and circuits that could be integrated in a compact, economical package.
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.
True randomness is an essential requirement in numerous classical and quantum cryptographic systems and applications to guarantee secure communication, necessitating the research and design of promising quantum random number generators. As communication systems become more randomness consuming, current generators fail to deliver the required throughput mainly due to slow and often delayed post-processing. To address these performance issues, this work presents an FPGA-based quantum random number generator based on our previous work that uses a low optical power, custom-designed integrated vacuum fluctuation source. An adaptive, efficient and fast Toeplitz hashing scheme is developed with a configurable security factor, making it suitable for a wide range of applications. The high clearance and large bandwidth of the low-noise photonic-electronic detector in combination with hardware accelerated processing makes it possible for the presented dual channel generator to deliver a record generation rate of 100.3 Gbit/s for secure usage in real-time. Due to the small form factor, the design shows promise to be fully integrated into a custom-packaged device.
High-speed quantum random number generators are highly demanded in cryptographic systems, whose bottleneck lies in the ease of implementation and the efficiency of real-time post-processing. Based on homodyne detection of a coherent state, we realize a compact Gbps real-time quantum random number generator with a silica planar light circuit. We integrate all the optical and electrical modules into a stand-alone device, use standard low-cost components, and make the whole system simple and robust. Homodyne detection and real-time hashing extraction circuits are built into compact electronics with a final generation rate of 1 Gbps. Our demonstration shows an economic, compact, robust, and high-speed quantum random number generator available for immediate commercialization.
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.