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Related papers: A Mathematical Random Number Generator (MRNG)

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Marsaglia recently introduced a class of xorshift random number generators (RNGs) with periods 2n-1 for n = 32, 64, etc. Here we give a generalisation of Marsaglia's xorshift generators in order to obtain fast and high-quality RNGs with…

Data Structures and Algorithms · Computer Science 2010-04-20 Richard P. Brent

The Pseudo-Random Number Generators (PRNGs) are key tools in Monte Carlo simulations. More recently, the MIXMAX PRNG has been included in ROOT and Class Library for High Energy Physics (CLHEP) software packages and claims to be a state of…

Data Analysis, Statistics and Probability · Physics 2017-07-11 Narek H. Martirosyan , Gevorg A. Karyan , Norayr Z. Akopov

Cryptographic random number generation is critical for any quantum safe encryption. Based on the natural uncertainty of some quantum processes, variety of quantum random number generators or QRNGs have been created with physical quantum…

Quantum Physics · Physics 2023-03-03 Randy Kuang , Dafu Lou , Alex He , Chris McKenzie , Michael Redding

True random number generators (TRNG) sample random physical processes to create large amounts of random numbers for various use cases, including security-critical cryptographic primitives, scientific simulations, machine learning…

Currently, statistical tests for random number generators (RNGs) are widely used in practice, and some of them are even included in information security standards. But despite the popularity of RNGs, consistent tests are known only for…

Statistics Theory · Mathematics 2021-05-17 Boris Ryabko

Pseudo-random number generators (PRNGs) are high-nonlinear processes, and they are key blocks in optimization of Large language models. Transformers excel at processing complex nonlinear relationships. Thus it is reasonable to generate…

Machine Learning · Computer Science 2025-08-05 Ran Li , Lingshu Zeng

Quantum random number generator (QRNG) can produce true randomness by utilizing the inherent probabilistic nature of quantum mechanics. Recently, the spontaneous-emission quantum phase noise of the laser has been widely deployed for QRNG,…

Quantum Physics · Physics 2017-12-18 Shi-Hai Sun , Feihu Xu

The theory underlying a proposed random number generator for numerical simulations in elementary particle physics and statistical mechanics is discussed. The generator is based on an algorithm introduced by Marsaglia and Zaman, with an…

High Energy Physics - Lattice · Physics 2009-10-22 Martin Luescher

Fast secure random number generation is essential for high-speed encrypted communication, and is the backbone of information security. Generation of truly random numbers depends on the intrinsic randomness of the process used and is usually…

Quantum Physics · Physics 2019-05-15 Ben Haylock , Daniel Peace , Francesco Lenzini , Christian Weedbrook , Mirko Lobino

The randomness from a quantum random number generator (QRNG) relies on the accurate characterization of its devices. However, device imperfections and inaccurate characterizations can result in wrong entropy estimation and bias in practice,…

Quantum Physics · Physics 2016-12-30 You-Qi Nie , Jian-Yu Guan , Hongyi Zhou , Qiang Zhang , Xiongfeng Ma , Jun Zhang , Jian-Wei Pan

Random numbers are a fundamental resource in science and engineering with important applications in simulation and cryptography. The inherent randomness at the core of quantum mechanics makes quantum systems a perfect source of entropy.…

Quantum Physics · Physics 2017-02-28 Miguel Herrero-Collantes , Juan Carlos Garcia-Escartin

Monte Carlo simulations are an important tool in statistical physics, complex systems science, and many other fields. An increasing number of these simulations is run on parallel systems ranging from multicore desktop computers to…

Statistical Mechanics · Physics 2009-06-10 Stephan Mertens

A quantum random-number generator (QRNG) can theoretically generate unpredictable random numbers with perfect devices and is an ideal and secure source of random numbers for cryptography. However, the practical implementations always…

Quantum Physics · Physics 2020-07-27 Weinan Huang , Yi-Chen Zhang , Ziyong Zheng , Yang Li , Bingjie Xu , Song Yu

Randomness is one of the most important resources in modern information science, since encryption founds upon the trust in random numbers. Since it is impossible to prove if an existing random bit string is truly random, it is relevant that…

Quantum Physics · Physics 2015-12-22 Lukas Oberreiter , Ilja Gerhardt

We propose and implement a simple and compact quantum random number generation (QRNG) scheme based on the quantum phase fluctuations of a DFB laser. The distribution probability of the experimentally measured data fits well with the…

Quantum Physics · Physics 2017-04-05 Jinlu Liu , Jie Yang , Zhengyu Li , Wei Huang , Bingjie Xu , Hong Guo

A quantum random number generator (QRNG) as a genuine source of randomness is essential in many applications, such as number simulation and cryptography. Recently, a source-independent quantum random number generator (SI-QRNG), which can…

High-quality random numbers are very critical to many fields such as cryptography, finance, and scientific simulation, which calls for the design of reliable true random number generators (TRNGs). Limited by entropy source, throughput,…

Hardware Architecture · Computer Science 2024-07-03 Siqing Fu , Tiejun Li , Chunyuan Zhang , Hanqing Li , Sheng Ma , Jianmin Zhang , Ruiyi Zhang , Lizhou Wu

Pseudorandom number generators (PRNGs) are ubiquitous in stochastic simulations and machine learning (ML), where they drive sampling, parameter initialization, regularization, and data shuffling. While widely used, the potential impact of…

Performance · Computer Science 2025-10-30 Benjamin A. Antunes

A quantum random number generator (QRNG) can generate true randomness by exploiting the fundamental indeterminism of quantum mechanics. Most approaches to QRNG employ single-photon detection technologies and are limited in speed. Here, we…

Quantum Physics · Physics 2013-08-12 Feihu Xu , Bing Qi , Xiongfeng Ma , He Xu , Haoxuan Zheng , Hoi-Kwong Lo

This paper presents an algorithm for generating pseudorandom numbers using quasigroups. Random numbers have several applications in the area of secure communication. The proposed algorithm uses a matrix of size n x n which is pre-generated…

Cryptography and Security · Computer Science 2011-12-06 Vinod Kumar Godavarty