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IEEE Transactions on Circuits & Systems II Express Briefs

A $16\times 16$ Pixel Post-Processing Free Quantum Random Number Generator Based on SPADs

Hesong Xu, Daniele Perenzoni, Alessandro Tomasi, Nicola Massari

Published Apr 2, 2018• 20 citations
Publisher

Abstract

In this brief, we present a 16 × 16-pixel quantum random number generator (QRNG) based on Single-Photon Avalanche Diodes, implemented in CMOS 150-nm technology. Each pixel consists of two detectors, featuring 17.2 μm ×7.7 μm size, and an arbiter, based on a phase comparator, enhancing the working range of the generator. The QRNG has achieved a random bit efficiency of 90% at a given observation window of 200 ns. The maximum speed is up to 18.2 Mbps for the whole array due to limited readout capability. The measurement result shows the random numbers can pass the standard randomness test without any post-processing.

DOI
10.1109/tcsii.2018.2821904

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In this brief, we present a 16 × 16-pixel quantum random number generator (QRNG) based on Single-Photon Avalanche Diodes, implemented in CMOS 150-nm technology. Each pixel consists of two detectors, featuring 17.2 μm ×7.7 μm size, and an arbiter, based on a phase comparator, enhancing the working range of the generator. The QRNG has achieved a random bit efficiency of 90% at a given observation window of 200 ns. The maximum speed is up to 18.2 Mbps for the whole array due to limited readout capability. The measurement result shows the random numbers can pass the standard randomness test without any post-processing.
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Optical quantum random number generators (QRNGs) are a special class of physical random data sources, whose randomness is established on elementary quantum optics processes. We present a QRNG based on a CMOS chip which overcomes the limitations of the commonly used optical QRNG and which achieves a random bit generation rate up to 200 Mb/s. The CMOS chip is based on an array of single-photon avalanche diodes (SPADs) and digital counters. We prove the absolute randomness of the generated random data through statistical test suites and even more stringent correlation and bias tests applied to 32 Gbit streams. The QRNG passes all tests; hence, it proves to be one of the fastest and more reliable CMOS optical QRNGs currently available.
This work describes a monolithically integrated photonic quantum random number generator (QRNG) in0.35μ m0.35 \mu ~\mathrm{m}0.35μ mCMOS. This QRNG consists of a light-emitting diode inside a deep N-well, a ring single-photon avalanche diode (SPAD), a fast cascoded active quenching and resetting circuit, and an analog evaluation circuit determining whether the random bit is a “0” or “1”. The random bits are created by comparison of two consecutive time intervals between photon detections using charging and discharging a capacitor with a constant current as well as a comparator. The time intervals can be in the range from 10 ns to10μ s10 \mu ~\mathrm{s}10μ s. With±3.3 V\pm 3.3 ~\mathrm{V}±3.3 Vsupply voltage, the power consumption of the complete circuits is between 1.1 mW and 4.55 mW depending on the LED emission and detection rate of the SPAD. After XOR-hashing, the NIST tests were passed.
Experimental demonstration of a quantum random number generator based on one single-photon avalanche diode (SPAD) detector, a T / ( T − t ) pulse-shaped laser, and an field-programmable gate array (FPGA) acquisition module is presented. An integrated laser driver drives an external laser diode at 670 nm wavelength, whereas the SPAD with a photon detection probability of 18.5% is integrated together with an active quenching-resetting circuit. The SPAD detector generates counts for the interarrival time (IAT) measurement system implemented in an FPGA, where the change of the IATs between consecutive pulses is used to derive a random bit stream. It is shown how the application of a pulse-shaped laser driver can increase the performance of the system as compared to the continuous-wave operation of the laser diode to achieve the maximum generation rate of 5 Mbps while using a single SPAD. The generated numbers pass all randomness tests of the National Institute of Standards and Technology (NIST), Dieharder, and ENT test (pseudorandom number sequence test) suits.
A quantum random generator based on photon detection is here presented. The system consists of a photon source, typically a commercial LED, coupled with a detector with single photon detection capability. The detector is composed of a Single-Photon Avalanche Diode (SPAD) and a time stamp circuit, which samples the arrival time of impinging photons within a predefined temporal window. The proposed implementation optimizes the area, allowing embedding all circuitry into a single pixel, and increases the efficiency of random bit extraction. Moreover, the adopted fast pre-charge mode of the SPAD quenching circuit reduces the afterpulsing probability, and hence possible undesirable correlation in the resulting random bit sequence. Thanks to the implemented random bit extraction, experimental results show that the pixel has a flat behavior for a significant range of light intensity, which makes the pixel robust against variations of external PVT parameters. The maximum achievable bit rate has been measured equal to 1 Mbps, while random sequences are shown to pass NIST tests without any post-processing.
A compact quantum random number generator (QRNG) based on an array of Single Photon Avalanche Diodes (SPADs) is presented here. The main feature of the proposed chip is the capability to generate random numbers without the use of any external source of light. In this view, SPADs are configured to be used in two ways: 1) as a controlled light emitter and 2) as a detector. An embedded logic is able to distinguish dark events against detected emitted photon in such a way to make the system sensitive only to the presence of light. The extracted random bits show a uniform distribution and the QRNG, thanks to an integrated conditioning block maximizing the output entropy, eventually passes all AIS31 tests. The average raw bit rate in the default device configuration (one enabled column) is measured equal to 800 kbps.