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The Quaternion Fourier transform (QFT) is one of the key tools in studying color image processing. Indeed, a deep understanding of the QFT has created the color images to be transformed as whole, rather than as color separated component. In…

Classical Analysis and ODEs · Mathematics 2016-07-19 Xiao Xiao Hu , Kit Ian Kou

Color representation is essential in computer vision and human-computer interaction. There are multiple color models available. The choice of a suitable color model is critical for various applications. This paper presents a review of color…

Computer Vision and Pattern Recognition · Computer Science 2026-03-13 Muragul Muratbekova , Nuray Toganas , Ayan Igali , Maksat Shagyrov , Elnara Kadyrgali , Adilet Yerkin , Pakizar Shamoi

Quantum coherence is a fundamental resource that quantum technologies exploit to achieve performance beyond that of classical devices. A necessary prerequisite to achieve this advantage is the ability of measurement devices to detect…

A formalism for quantum error correction based on operator algebras was introduced in [1] via consideration of the Heisenberg picture for quantum dynamics. The resulting theory allows for the correction of hybrid quantum-classical…

Quantum Physics · Physics 2009-11-13 Cedric Beny , Achim Kempf , David W. Kribs

Currently, optical technology impacts most of our lives, from light used in scientific measurement to the fiber optic cables that makeup the backbone of the internet. However, as our current optical infrastructure grows, we discover that…

Quantum Physics · Physics 2022-04-21 Nathaniel Robert Miller

Experiments in cognitive science and decision theory show that the ways in which people combine concepts and make decisions cannot be described by classical logic and probability theory. This has serious implications for applied disciplines…

Artificial Intelligence · Computer Science 2013-01-08 Diederik Aerts , Liane Gabora , Sandro Sozzo , Tomas Veloz

The rather unintuitive nature of quantum theory has led numerous people to develop sets of (physically motivated) principles that can be used to derive quantum mechanics from the ground up, in order to better understand where the structure…

Quantum Physics · Physics 2022-09-05 Bas Westerbaan , John van de Wetering

In Brukner and Zeilinger's interpretation of quantum mechanics, information is introduced as the most fundamental notion and the finiteness of information is considered as an essential feature of quantum systems. They also define a new…

Quantum Physics · Physics 2016-09-08 Afshin Shafiee , Feryal Safinejad , Farnoush Naqsh

Quantum simulators, in which well controlled quantum systems are used to reproduce the dynamics of less understood ones, have the potential to explore physics that is inaccessible to modeling with classical computers. However, checking the…

Quantum Physics · Physics 2015-06-18 C. Senko , J. Smith , P. Richerme , A. Lee , W. C. Campbell , C. Monroe

There have been suggestions within the Information Retrieval (IR) community that quantum mechanics (QM) can be used to help formalise the foundations of IR. The invoked connection to QM is mathematical rather than physical. The proposed…

Information Retrieval · Computer Science 2018-09-18 Elham Ashoori , Terry Rudolph

Quantum information science is a source of task-related axioms whose consequences can be explored in general settings encompassing quantum mechanics, classical theory, and more. Quantum states are compendia of probabilities for the outcomes…

Quantum Physics · Physics 2007-05-23 Howard Barnum

A unified framework, which is directly established on the quantum ground, is proposed for elementary physical entities, called \emph{modes} in this paper. The framework is mainly built upon five basic assumptions, which loosely speaking…

General Physics · Physics 2022-03-18 Wen-ge Wang

Quantum computing has shown great potential to revolutionize traditional computing and can provide an exponential speedup for a wide range of possible applications, attracting various stakeholders. However, understanding fundamental quantum…

Human-Computer Interaction · Computer Science 2025-03-04 Manusha Karunathilaka , Shaolun Ruan , Lin-Ping Yuan , Jiannan Li , Zhiding Liang , Kavinda Athapaththu , Qiang Guan , Yong Wang

An optical quantum memory can be broadly defined as a system capable of storing a useful quantum state through interaction with light at optical frequencies. During the last decade, intense research was devoted to their development, mostly…

Krein space quantization and the ambient space formalism have been successfully applied to address challenges in quantum geometry (e.g., quantum gravity) and the axiomatic formulation of quantum Yang-Mills theory, including phenomena such…

General Relativity and Quantum Cosmology · Physics 2025-05-27 M. V. Takook

Quantum-enhanced sensing is commonly benchmarked using the quantum Fisher information (QFI), often interpreted as a direct indicator of achievable precision. However, this quantity acquires operational meaning only within a fully specified…

Quantum Physics · Physics 2026-03-10 Zdeněk Hradil , Jaroslav Řeháček

Why do we need quantization to describe vision? What are the quadrature operators of the electromagnetic field? Is it possible to measure them? What are the characteristic functions useful for? In this brief tutorial we provide the…

Quantum Physics · Physics 2021-10-08 Stefano Olivares

This study discusses the quantum behavior of a particle, which is controlled by fluctuations in the physical space-time (ST) variables, rather than provides a novel interpretation of quantum theory. The fluctuations, i.e., inhomogeneities…

General Physics · Physics 2012-06-15 Valery Egorushkin

Quantum theory, originally proposed as a physical theory to describe the motions of microscopic particles, has been applied to various non-physics domains involving human cognition and decision-making that are inherently uncertain and…

Computation and Language · Computer Science 2023-06-07 Yaochen Liu , Qiuchi Li , Benyou Wang , Yazhou Zhang , Dawei Song

We give a condensed and accessible summary of a recent derivation of quantum theory from information-theoretic principles, and use it to study the consequences of this and other reconstructions for our conceptual understanding of the…

Quantum Physics · Physics 2018-09-25 Adam Koberinski , Markus P. Mueller
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