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The distribution function of a random distance in three dimensions is given and some new three-dimensional d2-tests of randomness are suggested. We show that our test statistics are not correlated with the usual test statistics and are…

Applications · Statistics 2014-02-24 Sergii Koliada

The maximum entropy method has been used to reconstruct images in a wide range of astronomical fields, but in its traditional form it is restricted to the reconstruction of strictly positive distributions. We present an extension of the…

Astrophysics · Physics 2009-10-31 MP Hobson , AN Lasenby

Astronomical data take on a multitude of forms -- catalogs, data cubes, images, and simulations. The availability of software for rendering high-quality three-dimensional graphics lends itself to the paradigm of exploring the incredible…

Instrumentation and Methods for Astrophysics · Physics 2015-06-16 Brian R. Kent

The question whether there exists a hypergraph whose degrees are equal to a given sequence of integers is a well-known reconstruction problem in graph theory, which is motivated by discrete tomography. In this paper we approach the problem…

Combinatorics · Mathematics 2024-02-08 Michela Ascolese , Matthias Lienau , Matthias Schulte , Anusch Taraz

The nonlinear dynamics of transverse and polarization modes of a broad-area vertical-cavity surface-emitting laser (BA-VCSEL) exhibit, without any external perturbation, chaos with high correlation dimension, large bandwidth (BW), and good…

Optics · Physics 2026-04-08 Yohann G. Sanvert , Jules Mercadier , Stefan Bittner , Marc Sciamanna

Quantum random number generation is a technique to generate random numbers by extracting randomness from specific quantum processes. As for practical random number generators, they are required not only to have no information leakage but…

Information Theory · Computer Science 2020-11-10 Zehao Zhao , Xiongfeng Ma , Hongyi Zhou

Randomness is an indispensable resource in modern science and information technology. Fortunately, an experimentally simple procedure exists to generate randomness with well-characterized devices: measuring a quantum system in a basis…

Quantum Physics · Physics 2016-08-24 Le Phuc Thinh , Jean-Daniel Bancal , Eduardo Martin-Martinez

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

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…

This paper is a comment on the paper "Quantum Mechanics and Algorithmic Randomness" was written by Ulvi Yurtsever \cite{Yurtsever} and the briefly explanation of the algorithmic randomness of quantum measurements results. There are…

Quantum Physics · Physics 2017-04-07 Mohammad Shahbazi

A long sequence of tosses of a classical coin produces an apparently random bit string, but classical randomness is an illusion: the algorithmic information content of a classically-generated bit string lies almost entirely in the…

Quantum Physics · Physics 2007-05-23 Ulvi Yurtsever

In a macroscopic realm, in which photons are too many for being counted by any photon counting detector, photon statistics can be measured by using detectors simply endowed with linear response. We insert one of such detectors in a…

Quantum Physics · Physics 2009-06-16 Alessandra Andreoni , Maria Bondani

How to generate genuine quantum randomness from untrusted devices is an important problem in quantum information processing. Inspired by previous work on a self-testing quantum random number generator [T. Lunghi et al., Phys. Rev. Lett.…

Quantum Physics · Physics 2016-04-08 Han Yun-Guang , Yin Zhen-Qiang , Li Hong-Wei , Chen Wei , Wang Shuang , Guo Guang-Can , Han Zheng-Fu

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

Galaxy clusters are sources of gravitational radiation. The main aim of this paper is to give numerical estimates and theoretical description of the relevant features of the gravitational radiation coming from an appropriate spatial…

Astrophysics · Physics 2016-08-30 Vicent Quilis , Jose M. Ibanez , Diego Saez

Quantum optics potentially offers an information channel from the Universe beyond the established ones of imaging and spectroscopy. All existing cameras and all spectrometers measure aspects of the first-order spatial and/or temporal…

Astrophysics · Physics 2015-06-24 Dainis Dravins

This paper presents a method for determining spacecraft angular rates using event-based camera sensing. This is achieved by analyzing the temporal distribution of brightness events triggered by the apparent motion of stars. The location and…

Systems and Control · Electrical Eng. & Systems 2025-12-16 Vittorio Franzese , Matteo El Hariry

General wisdom is, mathematical operation is needed to generate number by numbers. It is pointed out that without any mathematical operation true random numbers can be generated by numbers through algorithmic process. It implies that human…

Data Structures and Algorithms · Computer Science 2009-06-16 Arindam Mitra

Arbitrary distributions of radiant exposure may be written by transversely scanning a single known spatially-random screen that is normally illuminated by spatially but not necessarily temporally uniform radiation or matter wave fields. The…

Optics · Physics 2019-12-18 David M. Paganin

When a laser beam passes through a rotating ground glass (RGG), the scattered light exhibits thermal statistics. This is extensively used in speckle imaging. This scattering process has not been addressed in photon picture and is especially…

Quantum Physics · Physics 2020-07-01 Sheng-Wen Li , Fu Li , Tao Peng , G. S. Agarwal