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Pseudo-random number generators are widely used in many branches of science, mainly in applications related to Monte Carlo methods, although they are deterministic in design and, therefore, unsuitable for tackling fundamental problems in…

This paper deals with the chaotic oscillator synchronization. A new approach to the synchronization of chaotic oscillators has been proposed. This approach is based on the analysis of different time scales in the time series generated by…

Chaotic Dynamics · Physics 2007-05-23 Alexander E. Hramov , Alexey A. Koronovskii

Quantum Random Number Generators provide true physical randomness based on quantum processes, essential for cryptographic and scientific applications. However, practical implementations face challenges in robustness and verifiability:…

Quantum Physics · Physics 2025-10-31 Rodrigo Piera , Gianluca De Santis , Agustin Sanchez , Yury Kurochkin , James A. Grieve

Some new properties of the chaotic signal have been implemented in communication system applications recently. However, due to the broadband property of the chaotic signal, it is very difficult for a practical transducer or antenna to…

Signal Processing · Electrical Eng. & Systems 2019-01-15 Jun-Liang Yao , Yu-Zhe Sun , Hai-Peng Ren , Celso Grebogi

A unified framework for analyzing generalized synchronization in coupled chaotic systems from data is proposed. The key of the proposed approach is the use of the kernel methods recently developed in the field of machine learning. Several…

Chaotic Dynamics · Physics 2009-11-11 Hiromichi Suetani , Yukito Iba , Kazuyuki Aihara

We develop a method for generating pseudorandom binary sequences using the Bernoulli map on cubic algebraic integers. The distinguishing characteristic of our generator is that it generates chaotic true orbits of the Bernoulli map by exact…

Number Theory · Mathematics 2018-11-14 Asaki Saito , Akihiro Yamaguchi

This work presents the hardware demonstrator of a secure encryption system based on synchronised Chua chaotic circuits. In particular, the presented encryption system comprises two Chua circuits that are synchronised using a dedicated…

We experimentally demonstrate an all-optical random number generator based on spontaneous symmetry breaking in a coherently-driven Kerr resonator. Random bit sequences are generated by repeatedly tuning a control parameter across a…

Brakerski et. al [BCM+18] introduced the model of cryptographic testing of a single untrusted quantum device and gave a protocol for certifiable randomness generation. We use the leakage resilience properties of the Learning With Errors…

Quantum Physics · Physics 2022-04-26 Urmila Mahadev , Umesh Vazirani , Thomas Vidick

In this paper, by using Logistic, Sine and Tent systems we define a combination chaotic system. Some properties of the chaotic system are studied by using figures and numerical results. A color image encryption algorithm is introduced based…

Information Theory · Computer Science 2017-12-06 R. Parvaz , M. Zarebnia

Non-deterministic random bits are needed in many scientific fields. Unfortunately today's computers are very limited in ability to produce them. We present here a method for extraction of non-deterministic random bits from random physics…

Computational Physics · Physics 2015-05-21 Mario Stipčević

We consider the use of a single qutrit for random generation. This is possible because single qutrits exhibit contextuality features. We aim to optimize the entropy of the generated sequence. To do this, we do not rely on the KCBS…

Quantum Physics · Physics 2020-02-19 François ARNAULT , Don ANOMAN

We present an iterative approach to constructing pseudorandom generators, based on the repeated application of mild pseudorandom restrictions. We use this template to construct pseudorandom generators for combinatorial rectangles and…

Computational Complexity · Computer Science 2012-10-02 Parikshit Gopalan , Raghu Meka , Omer Reingold , Luca Trevisan , Salil Vadhan

With the widespread use of communication technologies, cryptosystems are therefore critical to guarantee security over open networks as the Internet. Pseudo-random number generators (PRNGs) are fundamental in cryptosystems and information…

Cryptography and Security · Computer Science 2011-12-06 Jacques M. Bahi , Jean-François Couchot , Christophe Guyeux , Qianxue Wang

The intrinsic random nature of quantum physics offers novel tools for the generation of random numbers, a central challenge for a plethora of fields. Bell non-local correlations obtained by measurements on entangled states allow for the…

The cryptographic security provided by various techniques of random number generator (RNG) construction is one of the developing researches areas today. Among various types of RNG, the true random bit generator (TRBG) can be considered as…

Signal Processing · Electrical Eng. & Systems 2018-05-22 Togzhan Abzhanova , Irina Dolzhikova , Alex Pappachen James

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

We deal with randomness-quantifiers and concentrate on their ability do discern the hallmark of chaos in time-series used in connection with pseudo random number generators (PRNG). Workers in the field are motivated to use chaotic maps for…

Chaotic Dynamics · Physics 2015-05-13 L. De Micco , H. A. Larrondo , A. Plastino , O. A. Rosso

Self-testing and Semi-Device Independent protocols are becoming the preferred choice for quantum technologies, being able to certify their quantum nature with few assumptions and simple experimental implementations. In particular for…

Quantum Physics · Physics 2020-07-15 Davide Rusca , Hamid Tebyanian , Anthony Martin , Hugo Zbinden

Recently two encryption schemes were proposed by combining circular bit shift and XOR operations, under the control of a pseudorandom bit sequence (PRBS) generated from a chaotic system. This paper studies the security of these two…

Chaotic Dynamics · Physics 2010-06-23 Chengqing Li , Shujun Li , Gonzalo Álvarez , Guanrong Chen , Kwok-Tung Lo
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