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The theory underlying a proposed random number generator for numerical simulations in elementary particle physics and statistical mechanics is discussed. The generator is based on an algorithm introduced by Marsaglia and Zaman, with an…

High Energy Physics - Lattice · Physics 2009-10-22 Martin Luescher

Quantum Random Number Generators (QRNGs) serve as high-entropy sources for Quantum Key Distribution (QKD) systems. However, the raw data from these quantum sources require post-processing to achieve a nearly uniform distribution. This work…

Quantum Physics · Physics 2025-05-07 Shubham Chouhan , Anurag K. S. V. , G. Raghavan , Kanaka Raju P

We study the ability of Transformer models to learn sequences generated by Permuted Congruential Generators (PCGs), a widely used family of pseudo-random number generators (PRNGs). PCGs introduce substantial additional difficulty over…

Machine Learning · Computer Science 2026-02-18 Tao Tao , Maissam Barkeshli

Quantum random number generation (QRNG) is a resource that is a necessity in the field of cryptography. However, its certification has been challenging. In this article, we certify randomness with the aid of quantum entanglement in a device…

Quantum Physics · Physics 2024-06-04 Vardaan Mongia , Abhishek Kumar , Shashi Prabhakar , Anindya Banerji , R. P. Singh

The quest for a cryptographically secure pseudorandom bit generator (PRBG) was initiated long ago, and for a long time the proposed pseudorandom generators were very slow. More recently some "provably secure" PRBG capable to achieve a…

Cryptography and Security · Computer Science 2013-12-24 Corbo Antonio Esposito , Didone Fabiola

Secure computation often benefits from the use of correlated randomness to achieve fast, non-cryptographic online protocols. A recent paradigm put forth by Boyle $\textit{et al.}$ (CCS 2018, Crypto 2019) showed how pseudorandom correlation…

Cryptography and Security · Computer Science 2023-06-07 Maxime Bombar , Geoffroy Couteau , Alain Couvreur , Clément Ducros

Device-independent quantum random number generators (DI-QRNGs) are crucial for information processing, ensuring certified quantumness and genuine randomness. However, existing implementations often face low bit rates due to quantumness…

Quantum Physics · Physics 2025-03-25 Ayan Kumar Nai , Vimlesh Kumar , M. Ebrahim-Zadeh , G. K. Samanta

Quantum random number generators (QRNG) are based on the naturally random measurement results performed on individual quantum systems. Here, we demonstrate a branching-path photonic QRNG implemented with a Sagnac interferometer with a…

Quantum Physics · Physics 2022-05-11 Joakim Argillander , Alvaro Alarcón , Guilherme B. Xavier

Quantum random number generators (QRNGs) are able to generate numbers that are certifiably random, even to an agent who holds some side-information. Such systems typically require that the elements being used are precisely calibrated and…

Random number generation (RNG) is a crucial element in security protocols, and its performance and reliability are critical for the safety and integrity of digital systems. This is especially true in 5G networks with many devices with low…

Cryptography and Security · Computer Science 2023-04-20 Ferhat Ozgur Catak , Evren Catak , Ogerta Elezaj

Quantum systems are particularly suited for generating true randomness due to their inherent unpredictability, which can be justified on physical principles. However, practical implementations of Quantum RNGs (QRNGs) are always subject to…

Quantum Physics · Physics 2024-03-29 Xiaomin Guo , Fading Lin , Jiehong Lin , Zhijie Song , Yue luo , Qiqi Wang , Yanqiang Guo

Quantum random number (QRNG) beacons distinguish themselves from classical counterparts by providing intrinsic unpredictability originating from the fundamental laws of quantum mechanics. Most demonstrations have focused on certifiable…

Quantum Physics · Physics 2021-08-30 Lac Nguyen , Jeevanandha Ramanathan , Michelle Mei Wang , Yong Meng Sua , Yuping Huang

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,…

Quantum Physics · Physics 2015-01-14 Morgan W. Mitchell , Carlos Abellan , Waldimar Amaya

Continuous advances of Information Technologies (ITs), and in particular of the RFID technologies that allow the connection between the physical world objects and the IT infrastructure, have guaranteed the improvement and efficiency of…

Cryptography and Security · Computer Science 2022-08-11 Pino Caballero-Gil , Cándido Caballero-Gil , Jezabel Molina-Gil

Based on Restricted Boltzmann Machines (RBMs), an improved pseudo-stochastic sequential cipher generator is proposed. It is effective and efficient because of the two advantages: this generator includes a stochastic neural network that can…

Cryptography and Security · Computer Science 2016-08-18 Fei Hu , Xiaofei Xu , Tao Peng , Changjiu Pu , Li Li

Sampling equilibrium molecular configurations from the Boltzmann distribution is a longstanding challenge. Boltzmann Generators (BGs) address this by combining exact-likelihood generative models with importance sampling, but practical…

Machine Learning · Computer Science 2026-05-29 Weilong Chen , Bojun Zhao , Jan Eckwert , Julija Zavadlav

We study Weyl semimetals in the presence of generic disorder, consisting of a random vector potential as well as a random scalar potential. We derive renormalization group flow equations to second order in the disorder strength. These flow…

Mesoscale and Nanoscale Physics · Physics 2016-12-14 Björn Sbierski , Kevin S. C. Decker , Piet W. Brouwer

Previously, we built up a set of photon-free quantum random number generator(QRNG) with InGaAs single photon avalanche diodes. We exploited the stochastic property of quantum tunneling effect. Here, we utilized tunneling signals in Si…

Quantum Physics · Physics 2019-04-03 Haihan Zhou , Weixing Zhang , Junlin Li , Gui-Lu Long

We prove new results on the polarizing random walk framework introduced in recent works of Chattopadhyay {et al.} [CHHL19,CHLT19] that exploit $L_1$ Fourier tail bounds for classes of Boolean functions to construct pseudorandom generators…

Computational Complexity · Computer Science 2020-11-10 Eshan Chattopadhyay , Jason Gaitonde , Chin Ho Lee , Shachar Lovett , Abhishek Shetty

Certifying random number generators is challenging, especially in security-critical fields like cryptography. Here, we demonstrate a measurement-device-independent quantum random number generator (MDI-QRNG) using high-dimensional photonic…