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We present experimental results on the effects of using quantum or 'truly' random numbers, as opposed to pseudorandom numbers, in a system that exhibits computational creativity (given its ability to compose original chess problems). The…

Artificial Intelligence · Computer Science 2020-09-29 Azlan Iqbal

One of the most fundamental results in classical cryptography is that the existence of Pseudo-Random Generators (PRG) that expands $k$ bits of randomness to $k+1$ bits that are pseudo-random implies the existence of PRG that expand $k$ bits…

Quantum Physics · Physics 2024-11-06 Romi Levy , Thomas Vidick

Randomized algorithms depend on accurate sampling from probability distributions, as their correctness and performance hinge on the quality of the generated samples. However, even for common distributions like Binomial, exact sampling is…

Computation · Statistics 2025-06-17 Uddalok Sarkar , Sourav Chakraborty , Kuldeep S. Meel

We provide an efficient algorithm to generate random samples from the bounded kth order statistic in a sample of independent, but not necessarily identically distributed, random variables. The bounds can be upper or lower bounds and need…

Computation · Statistics 2019-05-13 Tyler Morrison , Sean Pinkney

In this work, by employing a bitsliced data representation as building blocks of algorithms, we showcase the capability and scalability of our proposed method in a variety of PRNG methods in the category of block and stream ciphers. While…

Cryptography and Security · Computer Science 2019-10-22 Saleh Khalaj Monfared , Omid Hajihassani , Soroush Meghdadi Zanjani , Mohammadsina Kiarostami , Dara Rahmati , Saeid Gorgin

True Random Number Generators (TRNGs) play a fundamental role in hardware security, cryptographic systems, and data protection. In the context of Deep NeuralNetworks (DNNs), safeguarding model parameters, particularly weights, is critical…

Animals are known to make efficient probabilistic inferences based on uncertain and noisy information from the outside world. Although it is known that generic neural networks can perform near-optimal point estimation by probabilistic…

Neurons and Cognition · Quantitative Biology 2021-11-10 Kohei Ichikawa , Asaki Kataoka

We analyze the thermodynamic costs of the three main approaches to generating random numbers via the recently introduced Information Processing Second Law. Given access to a specified source of randomness, a random number generator (RNG)…

Statistical Mechanics · Physics 2017-07-05 C. Aghamohammadi , J. P. Crutchfield

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…

Quantum Physics · Physics 2014-04-25 Pavel Lougovski , Raphael Pooser

The Pseudo-Random Number Generators (PRNGs) are key tools in Monte Carlo simulations. More recently, the MIXMAX PRNG has been included in ROOT and Class Library for High Energy Physics (CLHEP) software packages and claims to be a state of…

Data Analysis, Statistics and Probability · Physics 2017-07-11 Narek H. Martirosyan , Gevorg A. Karyan , Norayr Z. Akopov

Source independent quantum random number generators (SI-QRNG) are cryptographic protocols which attempt to extract random strings from quantum sources where the source is under the control of an adversary while the measurement devices are…

Quantum Physics · Physics 2021-09-07 Minwoo Bae , Walter O. Krawec

As large language models (LLMs) transition from chat interfaces to integral components of stochastic pipelines and systems approaching general intelligence, the ability to faithfully sample from specified probability distributions has…

Computation and Language · Computer Science 2026-04-27 Minda Zhao , Yilun Du , Mengyu Wang

An integral part of many algorithms for S-estimators of linear regression is random subsampling. For problems with only continuous predictors simple random subsampling is a reliable method to generate initial coefficient estimates that can…

Computation · Statistics 2012-08-29 Manuel Koller

Quantum random number generators (QRNGs) harness the inherent unpredictability of quantum mechanics to produce true randomness. Yet, in many optical implementations, the light source remains a potential vulnerability - susceptible to…

Quantum Physics · Physics 2025-11-07 KaiWei Qiu , Yu Cai , Nelly H. Y. Ng , Jing Yan Haw

The ultimate random number generators are those certified to be unpredictable -- including to an adversary. The use of simple quantum processes promises to provide numbers that no physical observer could predict but, in practice, unwanted…

Pseudorandom codes (PRCs), introduced by Christ and Gunn (CRYPTO '2024), are error-correcting codes whose codewords are computationally indistinguishable from uniformly random strings, while still being decodable by someone holding the key.…

Cryptography and Security · Computer Science 2026-05-20 Shengtang Huang , Xin Li , Songtao Mao , Zhaienhe Zhou

We present a new approach to constructing of pseudo-random binary sequences (PRS) generators for the purpose of cryptographic data protection, secured from the perpetrator's attacks, caused by generation of masses of hardware errors and…

Cryptography and Security · Computer Science 2018-09-10 Oleg Finko , Sergey Dichenko

Random numbers are a fundamental and useful resource in science and engineering with important applications in simulation, machine learning and cyber-security. Quantum systems can produce true random numbers because of the inherent…

Quantum Physics · Physics 2019-09-04 Sebastian F. Tudor , Rupak Chatterjee , Lac Nguyen , Yuping Huang

Since the work of Ferrenberg et al.[PRL 69, (1992)] some pseudo random number generators are known to yield wrong results in cluster Monte Carlo simulations. In this contribution the fundamental mechanism behind this failure is discussed.…

Statistical Mechanics · Physics 2007-05-23 Stephan Mertens , Heiko Bauke

With rapid advancements in electronic gadgets, the security and privacy aspects of these devices are significant. For the design of secure systems, physical unclonable function (PUF) and true random number generator (TRNG) are critical…

Cryptography and Security · Computer Science 2022-11-08 Simranjeet Singh , Furqan Zahoor , Gokulnath Rajendran , Sachin Patkar , Anupam Chattopadhyay , Farhad Merchant