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Fundamental questions in chemistry and physics may never be answered due to the exponential complexity of the underlying quantum phenomena. A desire to overcome this challenge has sparked a new industry of quantum technologies with the…

A general approach describing quantum decision procedures is developed. The approach can be applied to quantum information processing, quantum computing, creation of artificial quantum intelligence, as well as to analyzing decision…

Quantum Physics · Physics 2015-05-14 V. I. Yukalov , D. Sornette

The aim of this paper is to explore the ways in which Axiomatic Reconstructions of Quantum Theory in terms of Information-Theoretic principles (ARQITs) can contribute to explaining and understanding quantum phenomena, as well as to study…

Quantum Physics · Physics 2018-06-15 Laura Felline

Recently the mathematical formalism of quantum mechanics, especially methods of quantum probability theory, started to be widely used in a variety of applications outside of physics, e.g., cognition and psychology as well as economy and…

Neurons and Cognition · Quantitative Biology 2018-07-18 Irina Basieva , Andrei Khrennikov

The framework of distributed computing, consisting of several spatially separated input-output servers, has immense importance in distant data manipulation. One of the most challenging parts of this setting is to optimize the use of…

Quantum Physics · Physics 2023-04-11 Sutapa Saha , Tamal Guha , Some Sankar Bhattacharya , Manik Banik

In this paper we investigate the potential for persuasion arising from the quantum indeterminacy of a decision-maker's beliefs, a feature that has been proposed as a formal expression of well-known cognitive limitations. We focus on a…

Physics and Society · Physics 2018-05-25 Vladimir I. Danilov , Ariane Lambert-Mogiliansky

Quantum theory can be derived from purely informational principles. Five elementary axioms-causality, perfect distinguishability, ideal compression, local distinguishability, and pure conditioning-define a broad class of theories of…

Quantum Physics · Physics 2015-03-17 G. Chiribella , G. M. D'Ariano , P. Perinotti

Quantum theory was discovered in an adventurous way, under the urge to solve puzzles-like the spectrum of the blackbody radiation-that haunted the physics community at the beginning of the 20th century. It soon became clear, though, that…

Quantum Physics · Physics 2016-03-15 Giulio Chiribella , Giacomo Mauro D'Ariano , Paolo Perinotti

Recent high-precision experimental confirmations of quantum complementarity have revitalized foundational debates about measurement, description, and realism. This article argues that complementarity is most productively interpreted as an…

Neurons and Cognition · Quantitative Biology 2026-01-23 Lalit Kumar Shukla

We describe a general approach to modeling rational decision-making agents who adopt either quantum or classical mechanics based on the Quantum Bayesian (QBist) approach to quantum theory. With the additional ingredient of a scheme by which…

Quantum Physics · Physics 2022-05-18 John B. DeBrota , Peter J. Love

Functional theories of consciousness, based on emergence of conscious experiences from the execution of a particular function by an insentient brain, face the hard problem of consciousness of explaining why the insentient brain should…

Neurons and Cognition · Quantitative Biology 2025-04-29 Danko D. Georgiev

We revisit the question of universality in quantum computing and propose a new paradigm. Instead of forcing a physical system to enact a predetermined set of universal gates (e.g., single-qubit operations and CNOT), we focus on the…

Quantum Physics · Physics 2016-09-08 D. Bacon , J. Kempe , D. P. DiVincenzo , D. A. Lidar , K. B. Whaley

Motivated by notions of quantum heuristics and by average-case rather than worst-case algorithmic analysis, we define quantum computational advantage in terms of individual problem instances. Inspired by the classical notions of Kolmogorov…

Quantum Physics · Physics 2025-10-03 Harry Buhrman , Niklas Galke , Konstantinos Meichanetzidis

We live in a world brimming with uncertainty, where we constantly have to make a lot of decisions under incomplete information. We are firm believers that our subjective belief cannot be computed by rigorous mathematical formula; instead…

Physics and Society · Physics 2023-02-08 Lizhi Xin , Kevin Xin , Houwen Xin

This paper presents an elementary introduction to Consistent Quantum Theory (CQT), as developed by Griffiths and others over the past 25 years. The theory is a version of orthodox(Copenhagen) quantum mechanics, based on the notion that the…

Quantum Physics · Physics 2010-12-06 Pierre C. Hohenberg

Vision-brain understanding aims to extract semantic information about brain signals from human perceptions. Existing deep learning methods for vision-brain understanding are usually introduced in a traditional learning paradigm missing the…

Computer Vision and Pattern Recognition · Computer Science 2025-08-15 Hoang-Quan Nguyen , Xuan-Bac Nguyen , Hugh Churchill , Arabinda Kumar Choudhary , Pawan Sinha , Samee U. Khan , Khoa Luu

A large number of studies in cognitive science have revealed that probabilistic outcomes of certain human decisions do not agree with the axioms of classical probability theory. The field of Quantum Cognition provides an alternative…

Information Retrieval · Computer Science 2020-01-22 Sagar Uprety , Prayag Tiwari , Shahram Dehdashti , Lauren Fell , Dawei Song , Peter Bruza , Massimo Melucci

The term quantum neural computing indicates a unity in the functioning of the brain. It assumes that the neural structures perform classical processing and that the virtual particles associated with the dynamical states of the structures…

Neural and Evolutionary Computing · Computer Science 2013-03-15 Subhash Kak

We present a general classification of the conditions under which cognitive science, concerned e.g. with decision making, requires the use of quantum theoretical notions. The analysis is done in the frame of the mathematical approach based…

Physics and Society · Physics 2014-02-04 V. I. Yukalov , D. Sornette

In this paper, we make a review on the concepts of rationality across several different fields, namely in economics, psychology and evolutionary biology and behavioural ecology. We review how processes like natural selection can help us…

Artificial Intelligence · Computer Science 2018-12-03 Catarina Moreira
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