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Emergence of stochastic simulations as an extensively used computational tool for scientific purposes intensified the need for more accurate ways of generating sufficiently long sequences of uncorrelated random numbers. Even though several…

Mathematical Software · Computer Science 2014-08-14 Ayse Ferhan Yesil , M. Cemal Yalabik

The advantages of quantum random number generators (QRNGs) over pseudo-random number generators (PRNGs) are normally attributed to the nature of quantum measurements. This is often seen as implying the superiority of the sequences of bits…

Quantum Physics · Physics 2019-02-04 Alastair A. Abbott , Cristian S. Calude , Michael J. Dinneen , Nan Huang

This paper examines the use of Monte Carlo simulations to understand statistical concepts in A/B testing and Randomized Controlled Trials (RCTs). We discuss the applicability of simulations in understanding false positive rates and estimate…

Applications · Statistics 2024-11-12 Márton Trencséni

In this paper we show how different sources of random numbers influence the outcomes of Monte Carlo simulations. We compare industry-standard pseudo-random number generators (PRNGs) to a quantum random number generator (QRNG) and show,…

Computational Physics · Physics 2025-01-03 Anton Lebedev , Annika Möslein , Olha I. Yaman , Del Rajan , Philip Intallura

Quantum random number generator harnesses the power of quantum mechanics to generate true random numbers, making it valuable for various scientific applications. However, real-world devices often suffer from imperfections that can undermine…

Quantum Physics · Physics 2023-12-07 Xing Lin , Rong Wang

Pseudo-Random Numbers Generators (PRNGs) are algorithms produced to generate long sequences of statistically uncorrelated numbers, i.e. Pseudo-Random Numbers (PRNs). These numbers are widely employed in mid-level cryptography and in…

Cryptography and Security · Computer Science 2019-12-30 Luca Pasqualini , Maurizio Parton

We engineer a new probabilistic Monte-Carlo algorithm for isomorphism testing. Most notably, as opposed to all other solvers, it implicitly exploits the presence of symmetries without explicitly computing them. We provide extensive…

Data Structures and Algorithms · Computer Science 2020-11-19 Markus Anders , Pascal Schweitzer

Guaranteeing the security of information transmitted through the Internet, against passive or active attacks, is a major concern. The discovery of new pseudo-random number generators with a strong level of security is a field of research in…

Cryptography and Security · Computer Science 2015-03-19 Jacques M. Bahi , Xiaole Fang , Christophe Guyeux , Qianxue Wang

The paper study counter-dependent pseudorandom generators; the latter are generators such that their state transition function (and output function) is being modified dynamically while working: For such a generator the recurrence sequence…

Cryptography and Security · Computer Science 2011-11-15 Vladimir Anashin

We present a new quantum Monte Carlo algorithm suitable for generically complex problems, such as systems coupled to external magnetic fields or anyons in two spatial dimensions. We find that the choice of gauge plays a nontrivial role, and…

Condensed Matter · Physics 2009-10-22 Lizeng Zhang , Geoff Canright , Ted Barnes

The use of the Monte Carlo technique in a reliable and inexpensive way without the need for a standard radioactive source in determining the detector efficiency is becoming widespread every passing day. It is important to model the detector…

Instrumentation and Detectors · Physics 2023-01-18 Esra Uyar , Zeynep Aybüke Günekbay

Recently the collider physics community has seen significant advances in the formalisms and implementations of event generators. This review is a primer of the methods commonly used for the simulation of high energy physics events at…

We provide an overview of the status of Monte-Carlo event generators for high-energy particle physics. Guided by the experimental needs and requirements, we highlight areas of active development, and opportunities for future improvements.…

High Energy Physics - Phenomenology · Physics 2025-02-28 J. M. Campbell , M. Diefenthaler , T. J. Hobbs , S. Höche , J. Isaacson , F. Kling , S. Mrenna , J. Reuter , S. Alioli , J. R. Andersen , C. Andreopoulos , A. M. Ankowski , E. C. Aschenauer , A. Ashkenazi , M. D. Baker , J. L. Barrow , M. van Beekveld , G. Bewick , S. Bhattacharya , N. Bhuiyan , C. Bierlich , E. Bothmann , P. Bredt , A. Broggio , A. Buckley , A. Butter , J. M. Butterworth , E. P. Byrne , C. M. Carloni Calame , S. Chakraborty , X. Chen , M. Chiesa , J. T. Childers , J. Cruz-Martinez , J. Currie , N. Darvishi , M. Dasgupta , A. Denner , F. A. Dreyer , S. Dytman , B. K. El-Menoufi , T. Engel , S. Ferrario Ravasio , D. Figueroa , L. Flower , J. R. Forshaw , R. Frederix , A. Friedland , S. Frixione , H. Gallagher , K. Gallmeister , S. Gardiner , R. Gauld , J. Gaunt , A. Gavardi , T. Gehrmann , A. Gehrmann-De Ridder , L. Gellersen , W. Giele , S. Gieseke , F. Giuli , E. W. N. Glover , M. Grazzini , A. Grohsjean , C. Gütschow , K. Hamilton , T. Han , R. Hatcher , G. Heinrich , I. Helenius , O. Hen , V. Hirschi , M. Höfer , J. Holguin , A. Huss , P. Ilten , S. Jadach , A. Jentsch , S. P. Jones , W. Ju , S. Kallweit , A. Karlberg , T. Katori , M. Kerner , W. Kilian , M. M. Kirchgaeßer , S. Klein , M. Knobbe , C. Krause , F. Krauss , J. Lang , J. -N. Lang , G. Lee , S. W. Li , M. A. Lim , J. M. Lindert , D. Lombardi , L. Lönnblad , M. Löschner , N. Lurkin , Y. Ma , P. Machado , V. Magerya , A. Maier , I. Majer , F. Maltoni , M. Marcoli , G. Marinelli , M. R. Masouminia , P. Mastrolia , O. Mattelaer , J. Mazzitelli , J. McFayden , R. Medves , P. Meinzinger , J. Mo , P. F. Monni , G. Montagna , T. Morgan , U. Mosel , B. Nachman , P. Nadolsky , R. Nagar , Z. Nagy , D. Napoletano , P. Nason , T. Neumann , L. J. Nevay , O. Nicrosini , J. Niehues , K. Niewczas , T. Ohl , G. Ossola , V. Pandey , A. Papadopoulou , A. Papaefstathiou , G. Paz , M. Pellen , G. Pelliccioli , T. Peraro , F. Piccinini , L. Pickering , J. Pires , W. Płaczek , S. Plätzer , T. Plehn , S. Pozzorini , S. Prestel , C. T. Preuss , A. C. Price , S. Quackenbush , E. Re , D. Reichelt , L. Reina , C. Reuschle , P. Richardson , M. Rocco , N. Rocco , M. Roda , A. Rodriguez Garcia , S. Roiser , J. Rojo , L. Rottoli , G. P. Salam , M. Schönherr , S. Schuchmann , S. Schumann , R. Schürmann , L. Scyboz , M. H. Seymour , F. Siegert , A. Signer , G. Singh Chahal , A. Siódmok , T. Sjöstrand , P. Skands , J. M. Smillie , J. T. Sobczyk , D. Soldin , D. E. Soper , A. Soto-Ontoso , G. Soyez , G. Stagnitto , J. Tena-Vidal , O. Tomalak , F. Tramontano , S. Trojanowski , Z. Tu , S. Uccirati , T. Ullrich , Y. Ulrich , M. Utheim , A. Valassi , A. Verbytskyi , R. Verheyen , M. Wagman , D. Walker , B. R. Webber , L. Weinstein , O. White , J. Whitehead , M. Wiesemann , C. Wilkinson , C. Williams , R. Winterhalder , C. Wret , K. Xie , T-Z. Yang , E. Yazgan , G. Zanderighi , S. Zanoli , K. Zapp

Computing systems interacting with real-world processes must safely and reliably process uncertain data. The Monte Carlo method is a popular approach for computing with such uncertain values. This article introduces a framework for…

Gaussian random number generators attract a widespread interest due to their applications in several fields. Important requirements include easy implementation, tail accuracy, and, finally, a flat spectrum. In this work, we study the…

Information Theory · Computer Science 2024-04-04 Francisco-Javier Soto , Ana I. Gómez , Domingo Gómez-Pérez

Random numbers are an essential resource to many applications, including cryptography and Monte Carlo simulations. Quantum random number generators (QRNGs) represent the ultimate source of randomness, as the numbers are obtained by sampling…

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…

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

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

Security in different applications is closely related to the goodness of the sequences generated for such purposes. Not only in Cryptography but also in other areas, it is necessary to obtain long sequences of random numbers or that, at…

Cryptography and Security · Computer Science 2024-02-07 Elena Almaraz Luengo , Luis Javier García Villalba