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In 1952, von Neumann introduced the rejection method for random variate generation. We revisit this algorithm when we have a source of perfect bits at our disposal. In this random bit model, there are universal lower bounds for generating a…

Information Theory · Computer Science 2022-01-04 Luc Devroye , Claude Gravel

The speed of a quantum random number generator is essential for practical applications, such as high-speed quantum key distribution systems. Here, we push the speed of a quantum random number generator to 68 Gbps by operating a laser around…

Quantum Physics · Physics 2015-06-17 You-Qi Nie , Leilei Huang , Yang Liu , Frank Payne , Jun Zhang , Jian-Wei Pan

We propose a simple and all-optical method for fast random number generation based on the laser mode hopping. Through periodically restarting a two-mode laser operating in the bistable state, a random number stream can be generated due to…

We present a scheme for quantum random-number generation from an untrusted measurement device and a trusted source and demonstrate it experimentally. No assumptions about noise or imperfections in the measurement are required, and the…

Quantum Physics · Physics 2022-10-26 Kieran Neil Wilkinson , Casper Ahl Breum , Tobias Gehring , Jonatan Bohr Brask

In this article, we study a notion of the extraction rate of Turing functionals that translate between notions of randomness with respect to different underlying probability measures. We analyze several classes of extraction procedures: a…

Logic · Mathematics 2021-03-09 Douglas Cenzer , Christopher P. Porter

We demonstrate a high bit-rate quantum random number generator by interferometric detection of phase diffusion in a gain-switched DFB laser diode. Gain switching at few-GHz frequencies produces a train of bright pulses with nearly equal…

Quantum Physics · Physics 2015-06-18 C. Abellan , W. Amaya , M. Jofre , M. Curty , A. Acin , J. Capmany , V. Pruneri , M. W. Mitchell

We propose an approach for fast random number generation based on homemade optical physical unclonable functions (PUFs). The optical PUF is illuminated with input laser wavefront of continuous modulation to obtain different speckle…

Cryptography and Security · Computer Science 2021-10-04 Kun Chen , Feng Huang , Pidong Wang , Yongbiao Wan , Dong Li , Yao Yao

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

We describe a high-speed physical random number generator based on a hybrid Boolean network with autonomous and clocked logic gates, realized on a reconfigurable chip. The autonomous logic gates are arranged in a bidirectional ring topology…

Chaotic Dynamics · Physics 2013-04-30 David P. Rosin , Damien Rontani , Daniel J. Gauthier

With the growing availability of experimental loophole-free Bell tests, it has become possible to implement a new class of device-independent random number generators whose output can be certified to be uniformly random without requiring a…

In this paper we propose a quantum random number generator (QRNG) which utilizes an entangled photon pair in a Bell singlet state, and is certified explicitly by value indefiniteness. While "true randomness" is a mathematical impossibility,…

Quantum Physics · Physics 2014-04-01 Alastair A. Abbott , Cristian S. Calude , Karl Svozil

Random numbers are essential for our modern information based society e.g. in cryptography. Unlike frequently used pseudo-random generators, physical random number generators do not depend on complex algorithms but rather on a physical…

Quantum Physics · Physics 2015-06-11 Mario Stipčević , Rupert Ursin

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

We propose a novel pseudorandom number generator based on R\"ossler attractor and bent Boolean function. We estimated the output bits properties by number of statistical tests. The results of the cryptanalysis show that the new pseudorandom…

Cryptography and Security · Computer Science 2018-07-31 Borislav Stoyanov , Krzysztof Szczypiorski , Krasimir Kordov

One of the key requirement of many schemes is that of random numbers. Sequence of random numbers are used at several stages of a standard cryptographic protocol. A simple example is of a Vernam cipher, where a string of random numbers is…

Computational Physics · Physics 2015-10-06 Ram Soorat , Madhuri K. , Ashok Vudayagiri

Randomness extraction is a key problem in cryptography and theoretical computer science. With the recent rapid development of quantum cryptography, quantum-proof randomness extraction has also been widely studied, addressing the security…

Quantum Physics · Physics 2024-01-15 Qian Li , Xiaoming Sun , Xingjian Zhang , Hongyi Zhou

What is the most efficient way to generate random numbers device-independently using a photon pair source based on spontaneous parametric down conversion (SPDC)? We consider this question by comparing two implementations of a…

We present a scheme for a self-testing quantum random number generator. Compared to the fully device-independent model, our scheme requires an extra natural assumption, namely that the mean energy per signal is bounded. The scheme is…

This article presents a new class of Pseudorandom Number Generators. The generators are based on traversing a n-cube where a Balanced Hamiltonian Cycle has been removed. The construction of such generators is automatic for small number of…

Data Structures and Algorithms · Computer Science 2017-06-28 Jean-François Couchot , Pierre-Cyrille Heam , Christophe Guyeux , Qianxue Wang , Jacques M. Bahi

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
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