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arXiv:2411.13712 · PRX Quantum

Self-Testing Quantum Randomness Expansion on an Integrated Photonic Chip

Gong Zhang, Ignatius William Primaatmaja, Yue Chen, Si Qi Ng, Hong Jie Ng, Marco Pistoia, Xiao Gong, Koon Tong Goh, Chao Wang, Charles Ci Wen Lim

Published Apr 21, 2026• 1 citation
arXivHTMLPDF

Abstract

The power of quantum random number generation is more than just the ability to create truly random numbers—it can also enable , which allows the user to verify the implementation integrity of critical quantum components with minimal assumptions. In this work, we develop and implement a self-testing quantum random number generator (QRNG) chipset capable of generating 15.33 Mbits of certifiable randomness in each run, producing an expansion rate of 5.11 × 10 − 4 at a repetition rate of 10 MHz, with quantum side information considered for a high level of security. The chip design is based on a highly loss-and-noise-tolerant measurement-device-independent protocol, where random coherent states encoded using quadrature phase shift keying are used to self-test the integrated homodyne detectors—well-known to be challenging to characterize in practice. Importantly, this proposal opens up the possibility of implementing miniaturized self-testing QRNG devices at production scale using standard silicon photonics foundry platforms.

DOI
10.1103/h7kt-m5fc

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The power of quantum random number generation is more than just the ability to create truly random numbers—it can also enable , which allows the user to verify the implementation integrity of critical quantum components with minimal assumptions. In this work, we develop and implement a self-testing quantum random number generator (QRNG) chipset capable of generating 15.33 Mbits of certifiable randomness in each run, producing an expansion rate of 5.11 × 10 − 4 at a repetition rate of 10 MHz, with quantum side information considered for a high level of security. The chip design is based on a highly loss-and-noise-tolerant measurement-device-independent protocol, where random coherent states encoded using quadrature phase shift keying are used to self-test the integrated homodyne detectors—well-known to be challenging to characterize in practice. Importantly, this proposal opens up the possibility of implementing miniaturized self-testing QRNG devices at production scale using standard silicon photonics foundry platforms.
Abstract Quantum random number generators (QRNGs) are able to generate numbers that are certifiably random, even to an agent who holds some side information. Such systems typically require that the elements being used are precisely calibrated and validly certified for a credible security analysis. However, this can be experimentally challenging and result in potential side-channels which could compromise the security of the QRNG. In this work, we propose, design and experimentally demonstrate a QRNG protocol that completely removes the calibration requirement for the measurement device. Moreover, our protocol is secure against quantum side information. We also take into account the finite-size effects and remove the independent and identically distributed requirement for the measurement side. More importantly, our QRNG scheme features a simple implementation which uses only standard optical components and are readily implementable on integrated-photonic platforms. To validate the feasibility and practicability of the protocol, we set up a fibre-optical experimental system with a home-made homodyne detector with an effective efficiency of 91.7% at 1550 nm. The system works at a rate of 2.5 MHz, and obtains a net randomness expansion rate of 4.98 kbits/s at 1010 rounds. Our results pave the way for an integrated QRNG with self-testing feature and provable security.
Quantum random number generator (QRNG) allows for the production of truly unpredictable random numbers, thanks to the inherent randomness available in quantum mechanics. However, its practical implementation is facing several challenges, including the practical security loophole, high-speed real-time randomness extraction, and large-scale production. In this work, we address these challenges with a chip-based, source-independent quantum random number generator achieving 20 Gbps real-time generation rate. It ensures the practical security through a source-independent security framework and the modeling of measurement devices. A bandwidth exceeding 2 GHz and a clearance reaching 10 dB is achieved by a silicon-based homodyne detector. Analog-to-digital conversion and randomness extraction are integrated on a single data collection and processing board, where the optimized parallel randomness extraction algorithm on a field programmable gate array achieves a throughput up to 28 Gbps. The results promise a high-speed and practically secure quantum random number generation on a chip, paving the way for its large-scale deployments and widespread applications.
We present a scheme for a self-testing quantum random number generator. Compared to the fully device-independent model, our scheme requires an extra natural assumption, namely that the mean energy per signal is bounded. The scheme is self-testing, as it allows the user to verify in real-time the correct functioning of the setup, hence guaranteeing the continuous generation of certified random bits. Based on a prepare-and-measure setup, our scheme is practical, and we implement it using only off-the-shelf optical components. The randomness generation rate is 1.25 Mbits/s, comparable to commercial solutions. Overall, we believe that this scheme achieves a promising trade-off between the required assumptions, ease-of-implementation and performance.
Real-time high-speed mutually independent two-channel quantum random number generator (QRNG) device has been proposed using a programmable photonic integrated circuit in silicon photonics platform. Broadband random fluctuations of quantum photonic waveguide vacuum mode is harnessed in each of the mutually independent channels by mixing a guided coherent laser light operating at λ ∼ 1550 nm. All classical noises arising out of electrical, mechanical, thermal disturbances, etc. are minimized by the use of homodyne detection and appropriate programming of the photonic integrated circuit. The method of classical noise elimination has been supported with an appropriate theoretical modeling and experimental observations. The raw random number generation rate per channel was 4 Gbps, when the output signal from the homodyne detectors (bandwidth 1.6 GHz) was sampled at 500 MSa/s and subsequently digitized by a 14-bit analog-to-digital converter. We have also shown that the proposed PPIC design can be scaled up to higher number of channels using CMOS fabrication process compatible silicon photonics technology. Such mutually independent multi-channel QRNG sources are especially useful for high-speed chip-scale quantum key distribution (QKD) transceivers.
Quantum resources offer intrinsic randomness that is valuable for applications such as cryptography, scientific simulation, and computing. Silicon-based photonics chips present an excellent platform for the cost-effective deployment of next-generation quantum systems on a large scale, even at room temperature. Nevertheless, the potential susceptibility of these chips to hacker control poses a challenge in ensuring security for on-chip quantum random number generation, which is crucial for enabling extensive utilization of quantum resources. Here, we introduce and implement an on-chip source-device-independent quantum random number generator (SDI-QRNG). The randomness of this generator is achieved through distortion-free on-chip detection of quantum resources, effectively eliminating classical noise interference. The security of the system is ensured by employing on-chip criteria for estimating security entropy in a practical chip environment. By incorporating a photoelectric package, the SDI-QRNG chip achieves a secure bit rate of 146.2 Mbps and a bare chip rate of 248.47 Gbps, with all extracted secure bits successfully passing the randomness test. Our experimental demonstration of this chip-level SDI-QRNG shows significant advantages in practical applications, paving the way for the widespread and cost-effective implementation of room-temperature secure QRNG, which marks a milestone in the field of QRNG chips.
Real-time high-speed mutually independent two-channel quantum random number generator (QRNG) device has been proposed using a programmable photonic integrated circuit in silicon photonics platform. Broadband random fluctuations of quantum photonic waveguide vacuum mode is harnessed in each of the mutually independent channels by mixing a guided coherent laser light operating at λ ∼ 1550 nm. All classical noises arising out of electrical, mechanical, thermal disturbances, etc. are minimized by the use of homodyne detection and appropriate programming of the photonic integrated circuit. The method of classical noise elimination has been supported with an appropriate theoretical modeling and experimental observations. The raw random number generation rate per channel was 4 Gbps, when the output signal from the homodyne detectors (bandwidth 1.6 GHz) was sampled at 500 MSa/s and subsequently digitized by a 14-bit analog-to-digital converter. We have also shown that the proposed PPIC design can be scaled up to higher number of channels using CMOS fabrication process compatible silicon photonics technology. Such mutually independent multi-channel QRNG sources are especially useful for high-speed chip-scale quantum key distribution (QKD) transceivers.