Results 21 to 30 of about 491,365 (288)

Experimental test of the Greenberger–Horne–Zeilinger-type paradoxes in and beyond graph states

npj Quantum Information, 2021
The Greenberger–Horne–Zeilinger (GHZ) paradox is an exquisite no-go theorem that shows the sharp contradiction between classical theory and quantum mechanics by ruling out any local realistic description of quantum theory.
Zheng-Hao Liu, Jie Zhou, Hui-Xian Meng, Mu Yang, Qiang Li, Yu Meng, Hong-Yi Su, Jing-Ling Chen, Kai Sun, Jin-Shi Xu, Chuan-Feng Li, Guang-Can Guo   +11 more
doaj   +1 more source

Mathematics as Information Compression via the Matching and Unification of Patterns

Complexity, 2019
This paper describes a novel perspective on the foundations of mathematics: how mathematics may be seen to be largely about “information compression (IC) via the matching and unification of patterns” (ICMUP).
J. Gerard Wolff
doaj   +1 more source

Divergence Measures Estimation and Its Asymptotic Normality Theory Using Wavelets Empirical Processes I

Journal of Statistical Theory and Applications (JSTA), 2018
We deal with the normality asymptotic theory of empirical divergences measures based on wavelets in a series of three papers. In this first paper, we provide the asymptotic theory of the general of ϕ-divergences measures, which includes the most common ...
Amadou Diadié Ba, Gane Samb LO, Diam Ba
doaj   +1 more source

Fluctuation Theorem and Chaos [PDF]

, 2008
The heat theorem (i.e. the second law of thermodynamics or the existence of entropy) is a manifestation of a general property of hamiltonian mechanics and of the ergodic Hypothesis.
A. Giuliani, D. Ruelle, D. Ruelle, D.J. Evans, E.G.D. Cohen, F. Bonetto, G. Gallavotti, G. Gallavotti, G. Gallavotti, G. Gallavotti, G. Gallavotti, G. Gallavotti, G. Gallavotti, G. Gallavotti, G. Gallavotti, G. Gallavotti, G. Gallavotti, G. Gallavotti, G. Gallavotti, G. Gallavotti, G. Gallavottia, G. Gentile, G.N. Bochkov, L. Boltzmann, L. Boltzmann, M. Bandi, R. Zon Van   +26 more
core   +4 more sources

Contextual measurement model and quantum theory

Royal Society Open Science
We develop a contextual measurement model (CMM) that is used for the clarification of the quantum foundations. This model matches Bohr’s views on the role of experimental contexts.
Andrei Khrennikov
doaj   +1 more source

Applying Quantum Principles to Psychology [PDF]

, 2014
This article starts out with a detailed example illustrating the utility of applying quantum probability to psychology. Then it describes several alternative mathematical methods for mapping fundamental quantum concepts (such as state preparation ...
Basieva, Irina, Busemeyer, Jerome R, Khrennikov, Andrei, Wang, Zheng   +3 more
core   +1 more source

Quantum-like Modeling of Cognition

Frontiers in Physics, 2015
This paper begins with a historical review of the mutual influence of physics and psychology, from Freud's invention of psychic energy inspired by von Boltzmann' thermodynamics to the enrichment quantum physics gained from the side of psychology by the ...
Andrei eKhrennikov
doaj   +1 more source

Structure of Probabilistic Information and Quantum Laws [PDF]

, 2001
In quantum experiments the acquisition and representation of basic experimental information is governed by the multinomial probability distribution.
Summhammer, Johann
core   +2 more sources

Classical (Local and Contextual) Probability Model for Bohm–Bell Type Experiments: No-Signaling as Independence of Random Variables

Entropy, 2019
We start with a review on classical probability representations of quantum states and observables. We show that the correlations of the observables involved in the Bohm⁻Bell type experiments can be expressed as correlations of classical random ...
Andrei Khrennikov, Alexander Alodjants
doaj   +1 more source

Foundations of Constructive Probability Theory [PDF]

, 2021
Using Bishop's work on constructive analysis as a framework, this monograph gives a systematic, detailed and general constructive theory of probability theory and stochastic processes. It is the first extended account of this theory: almost all of the constructive existence and continuity theorems that permeate the book are original.
openaire   +1 more source