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The generation of random numbers is a task of paramount importance in modern science. A central problem for both classical and quantum randomness generation is to estimate the entropy of the data generated by a given device. Here we present…

A C library for random number generation, Randompack, is presented. The library implements several modern random number generators (engines), including xoshiro256, PCG64, Philox, ranlux++, and sfc64; 14 continuous distributions including…

Applications · Statistics 2026-05-11 Kristján Jónasson

We develop Monte Carlo methods for sampling random states and corresponding bit strings in qubit systems. To this end, we derive exact probability density functions that yield the Porter-Thomas distribution in the limit of large systems. We…

Quantum Physics · Physics 2025-09-05 Andreas Raab

The fundamental principles of quantum mechanics, such as its probabilistic nature, allow for the theoretical ability of quantum computers to generate statistically random numbers, as opposed to classical computers which are only able to…

Quantum Physics · Physics 2024-01-24 Owen Root , Maria Becker

High energy physics has a constant demand for random number generators (RNGs) with high statistical quality. In this paper, we present ROOT's implementation of the RANLUX++ generator. We discuss the choice of relying only on standard C++…

Computational Physics · Physics 2021-09-08 Jonas Hahnfeld , Lorenzo Moneta

It is well-known that the quality of random number generators can often be improved by combining several generators, e.g. by summing or subtracting their results. In this paper we investigate the ratio of two random number generators as an…

Other Computer Science · Computer Science 2016-12-23 Michael Kolonko , Zijun Wu , Feng Gu

Random numbers are required for a variety of applications from secure communications to Monte-Carlo simulation. Yet randomness is an asymptotic property and no output string generated by a physical device can be strictly proven to be…

Quantum Physics · Physics 2025-02-28 Anatoly Kulikov , Markus Jerger , Anton Potočnik , Andreas Wallraff , Arkady Fedorov

With the accelerating development of quantum technologies and their growing computational potential, quantum systems are being adapted for simulations and other critical tasks across diverse domains, making the reliability of the…

Software Engineering · Computer Science 2026-05-06 Maryse Ernzer , Seung Yeob Shin , Fabrizio Pastore , Domenico Bianculli

Random numbers sequences (RNSs) play a vital role in various scientific and engineering applications. They are critical to the integrity of classical and quantum cryptography, the accuracy of mathematical modeling and Monte Carlo…

Harnessing quantum processes is an efficient method to generate truly indeterministic random numbers, which are of fundamental importance for cryptographic protocols, security applications or Monte-Carlo simulations. Recently, quantum…

Quantum Physics · Physics 2019-11-14 Johannes Thewes , Carolin Lüders , Marc Aßmann

Randomness is a crucial resource for a broad range of important applications, such as Monte Carlo simulation and computation, generative artificial intelligence and cryptography. But what is randomness? A widely accepted definition has…

Quantum Physics · Physics 2024-10-01 Mario Stipčević

The recent emergence of heavily-optimized modal decision procedures has highlighted the key role of empirical testing in this domain. Unfortunately, the introduction of extensive empirical tests for modal logics is recent, and so far none…

Artificial Intelligence · Computer Science 2011-06-28 P. F. Patel-Schneider , R. Sebastiani

Random numbers are essential for our modern information based society e.g. in cryptography. Unlike frequently used pseudo-random generators, physical random number generators do not depend on complex algorithms but rather on a physical…

Quantum Physics · Physics 2015-06-11 Mario Stipčević , Rupert Ursin

Monte Carlo simulation is an important tool for modeling highly nonlinear systems (like particle colliders and cellular membranes), and random, floating-point numbers are their fuel. These random samples are frequently generated via the…

Computation · Statistics 2018-02-16 Keith Pedersen

The usefulness of generating random configurations is recognized in many areas of knowledge. Fortran was born for scientific computing and has been one of the main programming languages in this area since then. And several ongoing projects…

Quantum Physics · Physics 2016-03-15 Jonas Maziero

A random number generator is proposed based on a theorem about existence of chaos in fixed point iteration of x= cot2(x). Digital computer simulation of this function iteration exhibits random behavior. A method is proposed to extract…

Discrete Mathematics · Computer Science 2013-01-23 Nabarun Mondal , Partha P. Ghosh

Randomness is a very important resource for cryptography, algorithms, and scientific simulations. Since all classical processes are considered to be intrinsically deterministic, we must build quantum random number generators which utilize…

Quantum Physics · Physics 2022-04-08 Xing Chen , Minsik Kwon , Vadim Vorobyov , Jörg Wrachtrup , Ilja Gerhardt

Quantum computing offers significant speedups for simulating physical, chemical, and biological systems, and for optimization and machine learning. As quantum software grows in complexity, the classical simulation of quantum computers,…

The C++ Standard Template Library is the flagship example for libraries based on the generic programming paradigm. The usage of this library is intended to minimize the number of classical C/C++ errors, but does not warrant bug-free…

Programming Languages · Computer Science 2011-11-17 N. Pataki

Cloud high quality API (Application Programming Interface) testing is essential for supporting the API economy. Autotest is a random test generator that addresses this need. It reads the API specification and deduces a model used in the…

Software Engineering · Computer Science 2022-11-08 Eitan Farchi , Krithika Prakash , Vitali Sokhin