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European Solid-State Circuits Conference (ESSCIRC)

A monolithic SPAD-based random number generator for cryptographic application

Nicola Massari, Alessandro Tontini, Luca Parmesan, Matteo Perenzoni, Miloš Grujić, Ingrid M.R. Verbauwhede, Thomas Strohm, Dayo Oshinubi, Ingo Herrmann, Andreas Brenneis

Published Sep 19, 2022• 8 citations
Publisher

Abstract

A compact quantum random number generator based on an array of Single Photon Avalanche Diode (SP AD) is presented here. As the main feature, the proposed chip has the capability to generate random numbers without the use of an external source of light. In the present approach, SP AD devices are used as emitters and as detectors. An embedded logic allows distinguishing dark events from events coming from the photon emission. The extracted random bit sequence shows a quite uniform distribution and after being post-processed by means of an integrated circuit, used to maximize the entropy of the system, is able to pass the AIS31 test. The average bit rate is 400 kbps.

DOI
10.1109/esscirc55480.2022.9911498

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A compact quantum random number generator based on an array of Single Photon Avalanche Diode (SP AD) is presented here. As the main feature, the proposed chip has the capability to generate random numbers without the use of an external source of light. In the present approach, SP AD devices are used as emitters and as detectors. An embedded logic allows distinguishing dark events from events coming from the photon emission. The extracted random bit sequence shows a quite uniform distribution and after being post-processed by means of an integrated circuit, used to maximize the entropy of the system, is able to pass the AIS31 test. The average bit rate is 400 kbps.
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.
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.
We present a new compact photonic quantum random number generator based on an emitter (source of entropy) and a single-photon detector integrated in the same silicon chip. Not only they are integrated one close to the other, but also they are fabricated with the same fabrication process. The emitter is a small silicon photomultiplier, composed of passively-quenched single photon avalanche diodes (SPADs), having the same layout of the single SPAD used as the detector. The emitter is a reverse-biased silicon p-n junction, generating photons mainly due to impact ionization during the avalanche breakdown process. The detector is shielded from ambient light by a top metal layer: only photons from the emitter are detected, making this integrated approach more robust. The random bits are extracted with a robust methodology based on the measurement of photon arrival times, using discrete time bins, in a time frame cyclically repeated in time. No postprocessing is required for the raw data to pass the statistical tests.
In this paper, a nondeterministic random number generator based on detection of the single photons emitted by an Si-CMOS-LED light source integrated for the first time on the detector chip is presented and experimentally demonstrated. We use a ring-shaped single-photon avalanche diode (SPAD) around the Si-CMOS-LED fabricated in 0.35-μm HV-CMOS technology to generate random events. The time intervals between single-photon events are independent quantum random variables. A field-programmable gate array (FPGA) digitizes the time variables to the stream of random bits. Bias in the raw data due to the nonuniform distribution of the time intervals is removed by postprocessing in a special configuration of xor gates to improve the randomness of the generated random bits. The quantum random numbers in 1-Gb streams with bit generation rate of 1 Mb/s were directly delivered to a personal computer (PC) and passed all statistical tests from ENT, STS, and DIEHARD, as well as for more accuracy correlation and bias tests applied on these streams.
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.
Single-Photon Avalanche Diodes (SPADs) are solid-state photo-detectors capable of detecting single photons by exploiting the avalanche effect that occurs in the breakdown of a p-n junction biased above breakdown voltage. By this effect, a SPAD translates an incoming photon to a macroscopic current pulse. These devices are currently used for building medical devices characterized by a very high time resolution. An appealing application of SPAD is to use them as a basic block for building the entropy source of true random number generators. In this paper we focus on such application, and we explore the design challenges behind the realization of a quantum random number generator based on a massively parallel array of SPADs. The matrix under investigation comprises 512×128 independent cells that convert photons onto a raw bit-stream, which, as ensured by the properties of quantum physics, is characterized by a very high level of randomness. The sequences are read out in a 128-bit parallel bus, concatenated, and pipelined onto a de-biasing filter. Subsequently, we fabricated the proposed chip using a standard CMOS process. Our results, achieved on the manufactured device and coupling two matrices, show that our architecture can reach up to 5 Gbit/s while consuming 25pJ/bit, thus demonstrating scalability and performance for any random number generators based on SPADs.