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Metastable behavior in dynamical systems may be a significant challenge for a simulation based analysis. In recent years, transfer operator based approaches to problems exhibiting metastability have matured. In order to make these…

Dynamical Systems · Mathematics 2015-05-20 Andreas Bittracher , Péter Koltai , Oliver Junge

Quantum random number generation (QRNG) harnesses the intrinsic randomness of quantum mechanical phenomena. Demonstrations of such processes have, however, been limited to probabilistic sources, for instance, spontaneous parametric…

Monte Carlo simulations are an important tool in statistical physics, complex systems science, and many other fields. An increasing number of these simulations is run on parallel systems ranging from multicore desktop computers to…

Statistical Mechanics · Physics 2009-06-10 Stephan Mertens

Fast secure random number generation is essential for high-speed encrypted communication, and is the backbone of information security. Generation of truly random numbers depends on the intrinsic randomness of the process used and is usually…

Quantum Physics · Physics 2019-05-15 Ben Haylock , Daniel Peace , Francesco Lenzini , Christian Weedbrook , Mirko Lobino

Algorithms that rely on a pseudorandom number generator often lose their performance guarantees when adversaries can predict the behavior of the generator. To protect non-cryptographic applications against such attacks, we propose 'strong'…

Cryptography and Security · Computer Science 2018-10-05 Jan Wassenberg , Robert Obryk , Jyrki Alakuijala , Emmanuel Mogenet

Quantum random number generators (QRNGs) promise perfectly unpredictable random numbers. However, the security certification of the random numbers in form of a stochastic model often introduces assumptions that are either hardly justified…

Parallel supercomputer-based Monte Carlo applications depend on pseudorandom number generators that produce independent pseudorandom streams across many separate processes. We propose a new scalable class of parallel pseudorandom number…

Computational Physics · Physics 2015-02-03 Paul D. Beale

Randomness is a very important resource for cryptography, algorithms, and scientific simulations. Since all classical processes are considered to be intrinsically deterministic, we must build quantum random number generators which utilize…

Quantum Physics · Physics 2022-04-08 Xing Chen , Minsik Kwon , Vadim Vorobyov , Jörg Wrachtrup , Ilja Gerhardt

Random numbers are indispensable for a variety of applications ranging from testing physics foundation to information encryption. In particular, nonlocality tests provide a strong evidence to our current understanding of nature -- quantum…

Generating high-quality random numbers with a Gaussian probability distribution function is an important and resource consuming computational task for many applications in the fields of machine learning and Monte Carlo algorithms. Recently,…

Emerging Technologies · Computer Science 2021-12-10 Punyashloka Debashis , Hai Li , Dmitri Nikonov , Ian Young

Herein, we introduce and study a new class of discrete random fields designed for quick simulation and covariance inference under inhomogeneous condition. Simulation of these correlated fields can be done in a single pass instead of relying…

Probability · Mathematics 2012-12-05 Biao Wu , Michael A. Kouritzin , Fraser Newton

In this work, pseudorandom sequence generators based on finite fields have been analyzed from the point of view of their cryptographic application. In fact, a class of nonlinear sequence generators has been modelled in terms of linear…

Cryptography and Security · Computer Science 2010-05-12 Amparo Fuster-Sabater , Pino Caballero-Gil

We present the realization of a physical quantum random number generator based on the process of splitting a beam of photons on a beam splitter, a quantum mechanical source of true randomness. By utilizing either a beam splitter or a…

Quantum Physics · Physics 2009-10-31 Thomas Jennewein , Ulrich Achleitner , Gregor Weihs , Harald Weinfurter , Anton Zeilinger

Quantum physics can be exploited to generate true random numbers, which play important roles in many applications, especially in cryptography. Genuine randomness from the measurement of a quantum system reveals the inherent nature of…

Quantum Physics · Physics 2016-08-29 Xiongfeng Ma , Xiao Yuan , Zhu Cao , Bing Qi , Zhen Zhang

A quantum random number generator (QRNG) based on gated single photon detection of an InGaAs photodiode at GHz frequency is demonstrated. Owing to the extremely long coherence time of each photon, each photons' wavefuntion extends over many…

Quantum Physics · Physics 2008-07-28 J. F. Dynes , Z. L. Yuan , A. W. Sharpe , A. J. Shields

We generalize a recently proposed approach for the construction of pseudo-Hermitian Hamiltonians with real spectra. Present technique is based on a simple and straightforward similarity transformation of the coordinate and momentum.

Quantum Physics · Physics 2016-04-21 Francisco M. Fernández

Low-energy random number generation is critical for many emerging computing schemes proposed to complement or replace von Neumann architectures. However, current random number generators are always associated with an energy cost that is…

The discrete Fourier transform test is a randomness test included in NIST SP800-22. However, the variance of the test statistic is smaller than expected and the theoretical value of the variance is not known. Hitherto, the mechanism…

Statistics Theory · Mathematics 2018-07-10 Atsushi Iwasaki

Pseudo code is one of the valuable artifacts to comprehending the complex program codes. Most of the source code still has no equivalent pseudo code, due to the time-consuming process of writing pseudo codes. In this work, we have developed…

Software Engineering · Computer Science 2019-07-25 Sawan Rai , Atul Gupta

There is a large body of work studying what forms of computational hardness are needed to realize classical cryptography. In particular, one-way functions and pseudorandom generators can be built from each other, and thus require equivalent…

Cryptography and Security · Computer Science 2025-04-02 Bruno Cavalar , Eli Goldin , Matthew Gray , Peter Hall , Yanyi Liu , Angelos Pelecanos
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