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There are various notions of quantum pseudorandomness, such as pseudorandom unitaries (PRUs), pseudorandom state generators (PRSGs) and pseudorandom function-like state generators (PRFSGs). Unlike classical pseudorandomness, where different…

Quantum Physics · Physics 2026-03-11 Samuel Bouaziz--Ermann , Minki Hhan , Garazi Muguruza , Quoc-Huy Vu

For globally connected devices like smart phones, personal computers and Internet-of-things devices, the ability to generate random numbers is essential for execution of cryptographic protocols responsible for information security.…

Quantum Physics · Physics 2021-02-25 Mario Stipčević , Ivan Michel Antolović , Claudio Bruschini , Edoardo Charbon

Some recent work on confidence intervals for randomized quasi-Monte Carlo (RQMC) sampling found a surprising result: ordinary Student $t$ 95% confidence intervals based on a modest number of replicates were seen to be very effective and…

Numerical Analysis · Mathematics 2025-03-26 Zexin Pan , Art B. Owen

Quantum randomness relies heavily on the accurate characterization of the generator implementation, where the device imperfection or inaccurate characterization can lead to incorrect entropy estimation and practical bias, significantly…

Quantum Physics · Physics 2024-09-12 You-Qi Nie , Hongyi Zhou , Bing Bai , Qi Xu , Xiongfeng Ma , Jun Zhang , Jian-Wei Pan

Random numbers are central to cryptography and various other tasks. The intrinsic probabilistic nature of quantum mechanics has allowed us to construct a large number of quantum random number generators (QRNGs) that are distinct from the…

Quantum Physics · Physics 2023-12-21 Vaisakh Mannalath , Sandeep Mishra , Anirban Pathak

In this paper we address the problem of Monte Carlo approximation of posterior probability distributions in stochastic kinetic models (SKMs). SKMs are multivariate Markov jump processes that model the interactions among species in…

Methodology · Statistics 2014-04-22 Eugenia Koblents , Joaquín Míguez

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

In a random ray method of neutral particle transport simulation, each iteration begins by sampling a set of rays before proceeding to solve the characteristic transport equation along the linear paths the rays follow. Historically,…

Computational Physics · Physics 2025-01-13 Samuel Pasmann , John Tramm

We present a real-time and fully integrated quantum random number generator (QRNG) by measuring laser phase fluctuations. The QRNG scheme based on laser phase fluctuations is featured for its capability of generating ultra high-speed random…

Quantum Physics · Physics 2016-07-13 Xiao-Guang Zhang , You-Qi Nie , Hongyi Zhou , Hao Liang , Xiongfeng Ma , Jun Zhang , Jian-Wei Pan

In this paper we present experiments in order to show how some pseudo random number generators can improve the effectiveness of a statistical cryptanalysis algorithm. We deduce mainly that a better generator enhance the accuracy of the…

Cryptography and Security · Computer Science 2014-09-19 O. Benamara , F. Merazka

Quantum random number generators (QRNGs) can significantly improve the security of cryptographic protocols, by ensuring that generated keys cannot be predicted. However, the cost, size, and power requirements of current QRNGs has prevented…

Quantum Physics · Physics 2014-10-03 Bruno Sanguinetti , Anthony Martin , Hugo Zbinden , Nicolas Gisin

Quantum random number generators (QRNGs) use the inherent unpredictability of quantum mechanics to generate true randomness, as opposed to classical random number generators. However, ensuring the authenticity of this randomness still…

Many Random Number Generators (RNG) are available nowadays; they are divided in two categories, hardware RNG, that provide "true" random numbers, and algorithmic RNG, that generate pseudo random numbers (PRNG). Both types usually generate…

Information Theory · Computer Science 2018-09-28 Andrea C. G. Mennucci

We investigate the application of randomized quasi-Monte Carlo (RQMC) methods in random feature approximations for kernel-based learning. Compared to the classical Monte Carlo (MC) approach \citep{rahimi2007random}, RQMC improves the…

Methodology · Statistics 2025-09-09 Yian Huang , Zhen Huang

A quantum Monte Carlo algorithm for the transverse Ising model with arbitrary short- or long-range interactions is presented. The algorithm is based on sampling the diagonal matrix elements of the power series expansion of the density…

Statistical Mechanics · Physics 2007-05-23 Anders W. Sandvik

Finding the failure scenarios of a system is a very complex problem in the field of Probabilistic Safety Assessment (PSA). In order to solve this problem we will use the Hidden Quantum Markov Models (HQMMs) to create a generative model.…

Quantum Physics · Physics 2022-04-04 Ahmed Zaiou , Younès Bennani , Basarab Matei , Mohamed Hibti

Particle Markov Chain Monte Carlo (PMCMC) is a general computational approach to Bayesian inference for general state space models. Our article scales up PMCMC in terms of the number of observations and parameters by generating the…

Methodology · Statistics 2023-07-04 David Gunawan , Chris Carter , Robert Kohn

Pulsars exhibit signals with precise inter-arrival times that are on the order of milliseconds to seconds, depending on the individual pulsar. There are subtle variations in the timing of pulsar signals. We show that these variations can…

Cryptography and Security · Computer Science 2025-04-24 Hayder Tirmazi

SMC (Sequential Monte Carlo) is a class of Monte Carlo algorithms for filtering and related sequential problems. Gerber and Chopin (2015) introduced SQMC (Sequential quasi-Monte Carlo), a QMC version of SMC. This paper has two objectives:…

Computation · Statistics 2017-06-19 Nicolas Chopin , Mathieu Gerber

Quantum-enhanced Markov chain Monte Carlo, an algorithm in which configurations are proposed through a measured quantum quench and accepted or rejected by a classical algorithm, has been proposed as a possible method for robust quantum…

Quantum Physics · Physics 2024-08-16 Alev Orfi , Dries Sels