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arXiv:1504.07769 · Journal of Lightwave Technology

Quantum Random Number Generation for 1.25-GHz Quantum Key Distribution Systems

Anthony Martin, Bruno Sanguinetti, Charles Ci Wen Lim, Raphaël Houlmann, Hugo Zbinden

Published Apr 7, 2015• 48 citations
arXivHTMLPDF

Abstract

Security proofs of quantum key distribution (QKD) systems usually assume that the users have access to source of perfect randomness. State-of-the-art QKD systems run at frequencies in the gigahertz range, requiring a sustained gigahertz rate of generation and acquisition of quantum random numbers. In this paper, we demonstrate such a high-speed random number generator. The entropy source is based on an amplified spontaneous emission from an erbium-doped fibre, which is directly acquired using a standard small form-factor pluggable module. The module connects to the field programmable gate array (FPGA) of a QKD system. A real-time randomness extractor is implemented in the FPGA, and achieves a sustained rate of 1.25 Gb/s of provably random bits.

DOI
10.1109/jlt.2015.2416914

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Security proofs of quantum key distribution (QKD) systems usually assume that the users have access to source of perfect randomness. State-of-the-art QKD systems run at frequencies in the gigahertz range, requiring a sustained gigahertz rate of generation and acquisition of quantum random numbers. In this paper, we demonstrate such a high-speed random number generator. The entropy source is based on an amplified spontaneous emission from an erbium-doped fibre, which is directly acquired using a standard small form-factor pluggable module. The module connects to the field programmable gate array (FPGA) of a QKD system. A real-time randomness extractor is implemented in the FPGA, and achieves a sustained rate of 1.25 Gb/s of provably random bits.
Quantum Random Number Generators (QRNGs) serve as high entropy sources for Quantum Key Distribution (QKD) systems. The raw data from quantum sources however require post-processing to generate a nearly uniform distribution. This work presents a state-of-the-art implementation of the Toeplitz Strong Extractor on an FPGA, achieving a benchmark extraction speed of 26.57 Gbps. A detailed implementation flow of the post-processing on FPGA is presented along with the various execution speeds obtained based on different randomness extraction ratios. Raw data from an in-house phase noise-based QRNG is processed on the FPGA using the implementation and the output is validated via the NIST STS 2.1.2 statistical randomness tests suite.
By measuring the amplified spontaneous emission (ASE) noise of the superluminescent light emitting diodes, we propose and realize a quantum random number generator (QRNG) featured with practicability. In the QRNG, after the detection and amplification of the ASE noise, the data acquisition and randomness extraction which is integrated in a field programmable gate array (FPGA) are both implemented in real-time, and the final random bit sequences are delivered to a host computer with a real-time generation rate of 1.2 Gbps. Further, to achieve compactness, all the components of the QRNG are integrated on three independent printed circuit boards with a compact design, and the QRNG is packed in a small enclosure sized 140 mm × 120 mm × 25 mm. The final random bit sequences can pass all the NIST-STS and DIEHARD tests.
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.
Abstract We present a high-speed continuous-variable quantum random number generator (QRNG) based on heterodyne detection of vacuum fluctuations. The scheme follows a source-device-independent security model in which the entropy originates from quantum measurement uncertainty and no model of the source is required; security depends only on the trusted measurement device and the calibrated discretization, and thus remains valid even under adversarial state preparation. The optical field is split by a 90 ∘ optical hybrid and measured by two balanced photodiodes to obtain both quadratures of the vacuum state simultaneously. The analog outputs are digitized using a dual-channel 12-bit analog-to-digital converter operating at a sampling rate of 3.2 GS s −1 per channel, and processed in real time by an field-programmable gate array (FPGA) implementing Toeplitz hashing for randomness extraction. The quantum-to-classical noise ratio was verified through calibrated power spectral density measurements and cross-checked in the time domain, confirming vacuum-noise dominance within the 1.6 GHz detection bandwidth. After extraction, the system achieves a sustained generation rate of R net = 33.92 Gbit s − 1 of uniformly distributed random bits, which pass all NIST and Dieharder statistical tests. The demonstrated platform provides a compact, FPGA-based realization of a practical heterodyne continuous-variable source-independent QRNG suitable for high-rate quantum communication and secure key distribution systems.
Phase randomization is essential for the security of practical decoy-state quantum key distribution (QKD) systems. Commonly, implementations rely on laser sources which are either actively phase-randomized, or gain-switched. However, at high repetition rates these show correlations, which can ultimately compromise security and performance. We present a 1.25 GHz phase-randomized QKD source based on a super-luminescent light emitting diode (SLED) operating in the C-band as a compact and cost-effective alternative. The source generates ∼100\sim100∼100 ps optical pulses with 400400400 ps pulse-to-pulse separation, compatible with high-speed time-bin encoding. Interferometric measurements demonstrate >99%>99\%>99% visibility between adjacent time bins, confirming strong first-order coherence within the same quantum signals, while the spontaneous-emission-driven nature of the SLED ensures intrinsic global phase randomization between adjacent signals. This work establishes a scalable SLED-based platform for high-speed prepare-and-measure QKD systems.
We present a quantum random number generator system that relies on precise time measurements of the intervals between random clicks of single photon detectors. These SPDs are embedded in a quantum key distribution system. During the QKD transfer's time window, the SPDs perform their usual function of measuring the photon state. Outside of this window, the SPDs are subjected to faint laser pulses that induce random clicks on the detectors. A Field Programmable Gate Array is employed to measure the time interval between these random clicks based on an internal 470 MHz clock. The FPGA then transmits a portion of the random measurement to a personal computer. The resulting sequence demonstrates a high degree of randomness, making it a reliable resource for randomness in the QKD process.