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We investigate the properties of a sequential Monte Carlo method where the particle weight that appears in the algorithm is estimated by a positive, unbiased estimator. We present broadly-applicable convergence results, including a central…

统计方法学 · 统计学 2022-08-26 Paul B. Rohrbach , Robert L. Jack

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…

量子物理 · 物理学 2020-07-27 Weinan Huang , Yi-Chen Zhang , Ziyong Zheng , Yang Li , Bingjie Xu , Song Yu

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…

量子物理 · 物理学 2025-09-05 Andreas Raab

Quantum random number generators (QRNGs) produce true random numbers, which are guaranteed by the fundamental principles of quantum physics. Miniaturization of QRNGs is crucial for a wide range of communication and cryptography…

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,…

量子物理 · 物理学 2015-01-14 Morgan W. Mitchell , Carlos Abellan , Waldimar Amaya

Quantum annealing (QA) with a transverse field often fails to sample degenerate ground states fairly, limiting applicability to problems requiring diverse optimal solutions. Although Quantum Monte Carlo (QMC) is widely used to simulate QA,…

量子物理 · 物理学 2025-10-14 Naoki Maruyama , Masayuki Ohzeki , Kazuyuki Tanaka

The majority of Quantum Random Number Generators (QRNG) are designed as converters of a continuous quantum random variable into a discrete classical random bit value. For the resulting random bit sequence to be minimally biased, the…

量子物理 · 物理学 2014-04-25 Pavel Lougovski , Raphael Pooser

Quantum random number generators (QRNG) represent an advanced solution for randomness generation, essential in every cryptographic applications. In this context, integrated arrays of single photon detectors have promising applications as…

量子物理 · 物理学 2016-11-24 Davide G. Marangon , Giuseppe Vallone , Ugo Zanforlin , Paolo Villoresi

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…

量子物理 · 物理学 2023-12-21 Vaisakh Mannalath , Sandeep Mishra , Anirban Pathak

Many machine learning problems involve Monte Carlo gradient estimators. As a prominent example, we focus on Monte Carlo variational inference (MCVI) in this paper. The performance of MCVI crucially depends on the variance of its stochastic…

机器学习 · 统计学 2018-07-05 Alexander Buchholz , Florian Wenzel , Stephan Mandt

Monte Carlo event generators are an essential tool for data analysis in collider physics. To include subleading quantum corrections, these generators often need to produce negative weight events, which leads to statistical dilution of the…

高能物理 - 唯象学 · 物理学 2020-10-21 Benjamin Nachman , Jesse Thaler

Basic uniform pseudo-random number generators are implemented on ATI Graphics Processing Units (GPU). The performance results of the realized generators (multiplicative linear congruential (GGL), XOR-shift (XOR128), RANECU, RANMAR, RANLUX…

高能物理 - 格点 · 物理学 2011-01-27 Vadim Demchik

Quantum random number generators (QRNGs) produce random numbers based on the intrinsic probabilistic nature of quantum mechanics, making them true random number generators (TRNGs). In this paper, we design and fabricate an embedded QRNG…

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…

数学软件 · 计算机科学 2014-08-14 Ayse Ferhan Yesil , M. Cemal Yalabik

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.…

密码学与安全 · 计算机科学 2024-05-16 Dmitriy Beznosko , Keith Driscoll , Fernando Guadarrama , Steven Mai , Nikolas Thornton

Consider a central problem in randomized approximation schemes that use a Monte Carlo approach. Given a sequence of independent, identically distributed random variables $X_1,X_2,\ldots$ with mean $\mu$ and standard deviation at most $c…

统计理论 · 数学 2014-11-18 Mark Huber

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…

量子物理 · 物理学 2014-10-03 Bruno Sanguinetti , Anthony Martin , Hugo Zbinden , Nicolas Gisin

Pseudo-random number generators (PRNGs) are essential in a wide range of applications, from cryptography to statistical simulations and optimization algorithms. While uniform randomness is crucial for security-critical areas like…

密码学与安全 · 计算机科学 2025-01-03 Jianan Wu , Ahmet Yusuf Salim , Eslam Elmitwalli , Selçuk Köse , Zeljko Ignjatovic

Quantum Key Distribution(QKD) thrives to achieve perfect secrecy of One time Pad (OTP) through quantum processes. One of the crucial components of QKD are Quantum Random Number Generators(QRNG) for generation of keys. Unfortunately, these…

密码学与安全 · 计算机科学 2023-11-07 Arun Mishra , Kanaka Raju Pandiri , Anupama Arjun Pandit , Lucy Sharma

We have carried out extensive statistical, bit level and visual tests of several random number generators used in the applications of physics. Two of the generators tested were recently included in a paper by Ferrenberg {\it et al.} (Phys.…

凝聚态物理 · 物理学 2007-05-23 I. Vattulainen , K. Kankaala , J. Saarinen , T. Ala-Nissila