True Random Number Generator Research Articles

Reduction of Operating Current by Harnessing the Field‐ and Damping‐Like Torque Ratios in Nonmagnet–Ferromagnet Heterojunctions

With the growing demand for high‐speed electronic devices with low energy consumption, spin–orbit torque (SOT) has become a significant focus. SOT can switch the magnetization direction in a material system with broken inversion symmetry, such as a normal metal (NM)/ferromagnet (FM) heterojunction. The SOT consists of two mutually orthogonal vector components along with the injected current direction: the transverse damping‐like torque (DLT) and the longitudinal field‐like torque (FLT). Numerous studies have mainly centered on the DLT for the SOT switching mechanism. However, DLT and FLT are essential to enhance SOT efficiency because FLT boosts the magnetization precession motion. Herein, heterojunctions consisting of NM 1 (Ta, W, or Pt)/NM 2 (Nb)/FM (CoFeB) are devised to manipulate the FLT‐to‐DLT ratio (η) through the change in Nb thickness. Furthermore, experimental confirmation exists for reducing threshold current as η increases. The SOT devices with substantial η generate random numbers. The National Institute of Standards and Technology Special Publication 800‐90B test verifies randomness and confirms that the SOT devices are beneficial sources for true random number generators (TRNGs). These findings indicate the crucial role of FLT in the SOT switching process and underscore its significance in developing SOT‐based TRNG devices.

A comprehensive review of quantum random number generators: concepts, classification and the origin of randomness

A comprehensive review of quantum random number generators: concepts, classification and the origin of randomness

Stochastic performance analysis of a time‐of‐arrival quantum random number generator

AbstractThe performance analysis of a quantum random number generator (QRNG), operating based on the interarrival time differences between consecutive photon detections from a coherent light source, is presented. The proposed analysis approach accurately takes into account the physical properties of the single‐photon detection systems, such as discretised time measurement, the correlations induced by the asynchronous arrival of photons with respect to the time resolution grid, and the dead time after observations and provides the QRNG's relevant performance measures, such as the joint distribution of bits, lag‐r correlations, the bit generation overhead and the bit generation time. Analysis results are verified by computer simulations.

Integrating Lorenz Hyperchaotic Encryption with Ring Oscillator Physically Unclonable Functions (RO-PUFs) for High-Throughput Internet of Things (IoT) Applications

With the combined call for increased network throughput and security comes the need for high-bandwidth, unconditionally secure systems. Through the combination of true random number generators (TRNGs) for unique seed values, and four-dimensional Lorenz hyperchaotic systems implemented on a Stratix 10 Intel FPGA, we are able to implement 60 MB/s encryption/decryption schemes with 0% data loss on an unconditionally secure system with the NIST standard using less than 400 mW. Further, the TRNG implementation allows for unique encryption outputs for similar images while still enabling proper decryption. Histogram and adjacent pixel analysis on sample images demonstrate that without the key, it is not possible to extract the plain text from the encrypted image. This encryption scheme was implemented via PCIe for testing and analysis.

High-efficiency TRNG Design Based on Multi-bit Dual-ring Oscillator

Unpredictable true random numbers are required in security technology fields such as information encryption, key generation, mask generation for anti-side-channel analysis, algorithm initialization, and so on. At present, the true random number generator (TRNG) is not enough to provide fast random bits by low-speed bits generation. Therefore, it is necessary to design a faster TRNG. This work presents an ultra-compact TRNG with high throughput based on a novel extendable dual-ring oscillator (DRO). Owing to multiple bits output per cycle in DRO can be used to obtain the original random sequence, the proposed DRO achieves a maximum resource utilization to build a more efficient TRNG, compared with the conventional TRNG system based on ring oscillator (RO), which only has a single output and needs to build multiple groups of ring oscillators. TRNG based on the 2-bit DRO and its 8-bit derivative structure has been verified on Xilinx Artix-7 and Kintex-7 FPGA under the automatic layout and routing and has achieved a throughput of 550 Mbps and 1,100 Mbps, respectively. Moreover, in terms of throughput performance over operating frequency, hardware consumption, and entropy, the proposed scheme has obvious advantages. Finally, the generated sequences show good randomness in the test of NIST SP800-22 and Dieharder test suite and pass the entropy estimation test kit NIST SP800-90B and AIS-31.

A High-Speed True Random Number Generator Based on Unified Selector-RRAM

A High-Speed True Random Number Generator Based on Unified Selector-RRAM

True Random Number Generator Based on RRAM-Bias Current Starved Ring Oscillator

True Random Number Generator Based on RRAM-Bias Current Starved Ring Oscillator

Design and Implementation of an On-Line Quality Control System for Latch-Based True Random Number Generator

Design and Implementation of an On-Line Quality Control System for Latch-Based True Random Number Generator

Design of True Random Number Generator Based on Multi-Ring Convergence Oscillator Using Short Pulse Enhanced Randomness

Design of True Random Number Generator Based on Multi-Ring Convergence Oscillator Using Short Pulse Enhanced Randomness

A high-speed true random number generator based on Ag/SiNx/n-Si memristor

A high-speed true random number generator based on Ag/SiNx/n-Si memristor

Statistical Validation of a Physical Prime Random Number Generator Based on Quantum Noise

Random prime numbers are an essential resource for many asymmetric cryptographic protocols. However, despite the emerging popularity of quantum random number generators (QRNGs) as sources of secure randomness, physical prime number generators have not yet been explored. In this work, we experimentally implement and characterize a vacuum-based probabilistic prime number generation scheme with an error probability of 3.5×10−15. By removing the quantum source (QS), an additional scheme based on electronic noise is derived, and a comparative analysis for increasing prime lengths is made. We observed that the QS significantly outperforms the classical scheme for small prime generation, where increases up to 585.0% in the diversity of unique primes obtained are seen. Moreover, we propose a length-agnostic statistical test for prime number sequences and apply it to the output of the uniformized randomness source, which was successful in revealing underlying biases in the output prime distributions. The resultant sequences were subsequently submitted to the NIST statistical test suite, where the quantum and classical sources passed, respectively, 86.96% and 45.34% of the total test set applied.

Effect of external magnetic fields on practical quantum random number generator

Quantum random number generator (QRNG) based on the inherent randomness of fundamental quantum processes can provide provable true random numbers which play an important role in many fields. However, the security of practical QRNGs is linked to the performance of realistic devices. In particular, devices based on the Faraday effect in a QRNG system may be affected by external magnetic fields, which will inevitably open a loophole that an eavesdropper can exploit to steal the information of generated random numbers. In this work, the effects of external magnetic fields on the security of practical QRNGs are analyzed. Taking the quantum phase fluctuation based QRNG with unbalanced Michelson interferometer as an example, we experimentally demonstrate the rotation angle of the Faraday rotation mirror (FRM) is influenced by external magnetic fields. Then, we develop a theoretical model between the rotation angle deviation of FRM and conditional min-entropy. Simulation results show that the imperfect FRM leads to a reduction in the variance of measured signal and extractable randomness. Furthermore, the impacts of practical sampling device on the extractable randomness are analyzed in the presence of imperfect FRM, which indicates suitable parameters of the sampling device can improve the security of practical QRNGs. Potential countermeasures are also proposed. Our work reveals that external magnetic fields should be carefully considered in the application of practical QRNGs.

A High Throughput STR-based TRNG by Jitter Precise Quantization Superposing

With the rapid development of integrated circuits and the continuous progress of computing capability, higher demands have been placed on the security and speed of data encryption in security systems. As a basic hardware security primitive, the true random number generator (TRNG) plays an important role in the encryption system, which requires higher throughput and randomness with lower hardware overhead. However, the throughput of TRNG is related to the entropy source’s quality and the randomness extraction methodology. To quantify the randomness of the entropy source with higher efficiency and quality, we utilize the independent jitter of the self-timed ring (STR) to generate original entropy and propose a high throughput jitter-based TRNG which can extract random information at the pulse of oscillation signal by jitter precise quantization superposing and random oscillation sampling. The proposed TRNG has been implemented on Artix-7 and Virtex-6 FPGAs. The generated true random number successfully passes the NIST SP800-22 and NIST SP800-90B tests while also exhibiting a minimum entropy greater than 0.9947. The most prominent superiority of our proposed TRNG is that it achieves a high throughput of 330 Mbps with an ultra-low hardware overhead of only 35 LUTs and 12 DFFs.

Enhancing the Security of the BB84 Quantum Key Distribution Protocol against Detector-Blinding Attacks via the Use of an Active Quantum Entropy Source in the Receiving Station.

True randomness is necessary for the security of any cryptographic protocol, including quantum key distribution (QKD). In QKD transceivers, randomness is supplied by one or more local, private entropy sources of quantum origin which can be either passive (e.g., a beam splitter) or active (e.g., an electronic quantum random number generator). In order to better understand the role of randomness in QKD, I revisit the well-known "detector blinding" attack on the BB84 QKD protocol, which utilizes strong light to achieve undetectable and complete recovery of the secret key. I present two findings. First, I show that the detector-blinding attack was in fact an attack on the receiver's local entropy source. Second, based on this insight, I propose a modified receiver station and a statistical criterion which together enable the robust detection of any bright-light attack and thus restore security.

A lightweight true random number generator based on multi‐stage sampling the current starve based ring oscillator

AbstractIn this letter, a novel true random number generator (TRNG) with high energy‐efficient and throughput is proposed for cryptographic systems. The current starve based ring oscillator (CSRO) is biased in the subthrehold region as an entropy source. An individual ring oscillator (RO) is sampled using multiple sampling points of the CSRO working in the sub‐threshold region to obtain a multi‐channel sequence output, thereby fully exploiting the randomness of the entropy source. The proposed TRNG is implemented using a standard 40nm CMOS technology and the simulation results show that it provides high‐quality and 20.66 Mbps random sequences while only consuming 11.46 μW at 1.1 V, 25°C. In addition, the proposed TRNG passes the NIST SP 800‐22 and the NIST SP 800‐90B tests without post‐processing and outperforms the state‐of‐the‐art in terms of energy consumption per bit of the output bitstream, reaching 0.555pJ/bit.

Operation of an Electrical-Only-Contact Photonic Integrated Chip for Quantum Random Number Generation Using Laser Gain-Switching

We present the results of the detected voltage distribution of a quantum random number generator (QRNG) based on a photonic integrated circuit comprising a semiconductor laser, delay interferometer and photodetector. We find that the integrated QRNG system behaves as expected for a QRNG from discrete gain-switched laser sources, especially exhibiting all of the peculiarities of the random voltage distribution and behaving as previously demonstrated for a discrete optical component setup. The biggest advantage of having all of the components integrated into a single chip is that only electrical connections are needed to operate the system, without the need for tricky and expensive optical alignment to external circuitry. We supply results showing that a random bit stream created from the random numbers passes the NIST statistical test suite tests, thus demonstrating the feasibility to generate random numbers via quantum means at gigabit/s rates from a single photonic integrated circuit. All of our results are backed by numerical simulations.

An Unbiased Quantum Random Number Generator Based on Boson Sampling

AbstractIt is proven that Boson sampling is a much promising model of optical quantum computation, which is applied to designing quantum computer successfully, such as “Jiuzhang”. However, the meaningful randomness of Boson sampling results has not been utilized or exploited. In this research, Boson sampling is applied to design a quantum random number generator (QRNG) by fully exploiting the randomness of Boson sampling results, and its prototype system is constructed with the programmable silicon photonic processor, which can generate unbiased random sequences and overcome the shortcomings of the existing discrete QRNGs such as source‐restricted, high demand for the photon number resolution capability of detector and slow self‐detection generator speed. Boson sampling is implemented as a random entropy source, and random bit strings with satisfactory randomness and uniformity can be obtained after post‐processing the sampling results. It is the first approach for applying the randomness of Boson sampling results to develop a practical prototype system for actual tasks, and the experiment results demonstrate that the designed Boson sampling‐based QRNG prototype system passes 15 tests of the NIST SP 800‐22 statistical test component, which proves that Boson sampling has great potential for practical applications with desirable performance besides quantum advantage.

A 3.3-Mbit/s true random number generator based on resistive random access memory

A 3.3-Mbit/s true random number generator based on resistive random access memory

Multi-bit quantum random number generator from path-entangled single photons

Measurement outcomes on quantum systems exhibit inherent randomness and are fundamentally nondeterministic. This has enabled quantum physics to set new standards for the generation of true randomness with significant applications in the fields of cryptography, statistical simulations, and modeling of the nondeterministic behavior in various other fields. In this work, we present a scheme for the generation of multi-bit random numbers using path-entangled single photons. For the experimental demonstration, we generate a path-entangled state using single photons from spontaneous parametric down-conversion (SPDC) and assign a multi-qubit state for them in path basis. One-bit and two-bit random numbers are then generated by measuring entangled states in the path basis. In addition to passing the NIST tests for randomness, we also demonstrate the certification of quantumness and self-certification of quantum random number generator (QRNG) using Clauser, Horne, Shimony and Holt (CHSH) inequality violation. We also record the significantly low autocorrelation coefficient from the raw bits generated and this along with CHSH violation rules out multi-photon events and ensure the protection from photon splitting attack. Distribution of photons along multiple paths resulting in multiple bits from one photon extends the limit on bit generation rate imposed by the detection dead time of the individual detector. Thus, the path-entangled states can generate higher bitrates compared to scheme using entangled photon pair which are limited by the coincidence counts. We demonstrate this by generating a high rate of about 80 Mbps when the single photon detector saturates at around 28 Mcps and still show violation of CHSH inequality.

In-situ electro-responsive through-space coupling enabling foldamers as volatile memory elements

Voltage-gated processing units are fundamental components for non-von Neumann architectures like memristor and electric synapses, on which nanoscale molecular electronics have possessed great potentials. Here, tailored foldamers with furan‒benzene stacking (f-Fu) and thiophene‒benzene stacking (f-Th) are designed to decipher electro-responsive through-space interaction, which achieve volatile memory behaviors via quantum interference switching in single-molecule junctions. f-Fu exhibits volatile turn-on feature while f-Th performs stochastic turn-off feature with low voltages as 0.2 V. The weakened orbital through-space mixing induced by electro-polarization dominates stacking malposition and quantum interference switching. f-Fu possesses higher switching probability and faster responsive time, while f-Th suffers incomplete switching and longer responsive time. High switching ratios of up to 91 for f-Fu is realized by electrochemical gating. These findings provide evidence and interpretation of the electro-responsiveness of non-covalent interaction at single-molecule level and offer design strategies of molecular non-von Neumann architectures like true random number generator.