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High quality random numbers are necessary in the modern world. Ranging from encryption keys in cyber security to models and simulations for scientific use: it's important that these random numbers are of high quality and quickly attainable.…

Cryptography and Security · Computer Science 2024-05-16 Dmitriy Beznosko , Keith Driscoll , Fernando Guadarrama , Steven Mai , Nikolas Thornton

The problem of constructing effective statistical tests for random number generators (RNG) is considered. Currently, there are hundreds of RNG statistical tests that are often combined into so-called batteries, each containing from a dozen…

Statistics Theory · Mathematics 2020-07-15 Boris Ryabko

In this work, we investigate the relation between the concept of ``information rate'', an information geometric method for measuring the speed of the time evolution of the statistical states of a stochastic process, and stochastic…

Statistical Mechanics · Physics 2023-03-29 Adrian-Josue Guel-Cortez , Eun-jin Kim

Random numbers are essential for applications ranging from secure communications to numerical simulation and quantitative finance. Algorithms can rapidly produce pseudo-random outcomes, series of numbers that mimic most properties of true…

Quantum Physics · Physics 2011-10-18 M. Jofre , M. Curty , F. Steinlechner , G. Anzolin , J. P. Torres , M. W. Mitchell , V. Pruneri

In this work, we designed and experimentally verified a highly integrated broadband entropy source for a quantum random number generator (QRNG) based on vacuum fluctuations. The core of the entropy source is a hybrid…

Quantum Physics · Physics 2026-05-04 Xuyang Wang , Yuqi Shi , Ning Wang , Jie Yun , Jiaxu Li , Yanxiang Jia , Shuaishuai Liu , Zhenguo Lu , Jun Zou , Yongmin Li

Using Fourier analysis, this paper establishes near-optimal security bounds for linear correctors commonly used in True Random Number Generators (TRNGs), expressed through code weight enumerators and input bias parameters. We provide the…

Cryptography and Security · Computer Science 2026-05-22 Maciej Skorski , Francisco-Javier Soto , Onur Günlü

This paper presents a command-line tool, called Entropia, that implements a family of conformance checking measures for process mining founded on the notion of entropy from information theory. The measures allow quantifying classical…

Given an event log as a collection of recorded real-world process traces, process mining aims to automatically construct a process model that is both simple and provides a useful explanation of the traces. Conformance checking techniques…

Artificial Intelligence · Computer Science 2020-08-27 Artem Polyvyanyy , Alistair Moffat , Luciano García-Bañuelos

Quantum random number generation is a technique to generate random numbers by extracting randomness from specific quantum processes. As for practical random number generators, they are required not only to have no information leakage but…

Information Theory · Computer Science 2020-11-10 Zehao Zhao , Xiongfeng Ma , Hongyi Zhou

Quantum technologies provide many applications for information processing tasks that are impossible to realize within classical physics. These capabilities include such fundamental resources as generating secure, i.e. private and…

Quantum Physics · Physics 2026-01-05 Amelie Piveteau , Alban Seguinard , Piotr Mironowicz , Mohamed Bourennane

Magnetic tunnel junctions (MTJs), which are the fundamental building blocks of spintronic devices, have been used to build true random number generators (TRNGs) with different trade-offs between throughput, power, and area requirements.…

Permutation entropy quantifies the diversity of possible orderings of the values a random or deterministic system can take, as Shannon entropy quantifies the diversity of values. We show that the metric and permutation entropy…

Chaotic Dynamics · Physics 2016-08-16 Jose M. Amigo , Matthew B. Kennel , Ljupco Kocarev

Generating high-quality random numbers with a Gaussian probability distribution function is an important and resource consuming computational task for many applications in the fields of machine learning and Monte Carlo algorithms. Recently,…

Emerging Technologies · Computer Science 2021-12-10 Punyashloka Debashis , Hai Li , Dmitri Nikonov , Ian Young

Random number generation is a key technology that is useful in a variety of ways. Random numbers are often used to generate keys for data encryption. Random numbers generated at a sufficiently long length can encrypt sensitive data and make…

Hardware Architecture · Computer Science 2022-09-12 Jacob Hammond

We present the physical model for the entropy source of a quantum random number generator chip based on the quantum fluctuations of the photon number emitted by light-emitting diodes. This model, combined with a characterization of the…

Quantum Physics · Physics 2021-05-26 Gaëtan Gras , Anthony Martin , Jeong Woon Choi , Félix Bussières

Text generation is an important Natural Language Processing task with various applications. Although several metrics have already been introduced to evaluate the text generation methods, each of them has its own shortcomings. The most…

Machine Learning · Computer Science 2019-05-22 Ehsan Montahaei , Danial Alihosseini , Mahdieh Soleymani Baghshah

We introduce new families of enhanced chaotic number generators in order to compute very fast long series of pseudorandom numbers. The key feature of these generators being the use of chaotic numbers themselves for sampling chaotic…

Dynamical Systems · Mathematics 2008-02-20 R. Lozi

We describe a methodology and standard of proof for experimental claims of quantum random number generation (QRNG), analogous to well-established methods from precision measurement. For appropriately constructed physical implementations,…

Quantum Physics · Physics 2015-01-14 Morgan W. Mitchell , Carlos Abellan , Waldimar Amaya

Loosely speaking, the Shannon entropy rate is used to gauge a stochastic process' intrinsic randomness; the statistical complexity gives the cost of predicting the process. We calculate, for the first time, the entropy rate and statistical…

Statistical Mechanics · Physics 2017-09-13 S. E. Marzen , J. P. Crutchfield

Modern traffic generators are essential tools for evaluating the performance of network environments. P4TG is a P4-based traffic generator implemented for Intel Tofino switches that offers high-speed packet generation with fine-grained…

Networking and Internet Architecture · Computer Science 2025-09-10 Fabian Ihle , Etienne Zink , Michael Menth