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From behavioral sciences to biology to quantum mechanics, one encounters situations where (i) a system outputs several random variables in response to several inputs, (ii) for each of these responses only some of the inputs may "directly"…

Probability · Mathematics 2015-09-01 E. N. Dzhafarov , J. V. Kujala

The ultimate goal of the classicality programme is to quantify the amount of quantumness of certain processes. Here, classicality is studied for a restricted type of process: quantum information processing (QIP). Under special conditions,…

Quantum Physics · Physics 2009-11-07 David Poulin

We present a general theory of quantum information processing devices, that can be applied to human decision makers, to atomic multimode registers, or to molecular high-spin registers. Our quantum decision theory is a generalization of the…

Quantum Physics · Physics 2009-11-13 V. I. Yukalov , D. Sornette

The classical and quantum features of Nambu mechanics are analyzed and fundamental issues are resolved. The classical theory is reviewed and developed utilizing varied examples. The quantum theory is discussed in a parallel presentation,…

High Energy Physics - Theory · Physics 2009-10-02 Thomas Curtright , Cosmas Zachos

A quantum system at equilibrium is represented by a corresponding classical system, chosen to reproduce the thermodynamic and structural properties. The objective is to develop a means for exploiting strong coupling classical methods (e.g.,…

Statistical Mechanics · Physics 2015-05-30 James W. Dufty , Sandipan Dutta

We investigate the transition from quantum to classical mechanics using a one-dimensional free particle model. In the classical analysis, we consider the initial positions and velocities of the particle drawn from Gaussian distributions.…

Quantum Physics · Physics 2024-05-30 E. Aldo Arroyo

Given a quantum Hamiltonian, we explain how the dynamical properties of the underlying classical system affect the behaviour of quantum eigenstates in the semi-classical limit. We study this problem via the notion of semiclassical measures.…

Mathematical Physics · Physics 2019-05-30 Gabriel Rivière

In this paper, we introduce a new framework for modelling the exchange of multiple arguments across agents in a social network. To date, most modelling work concerned with opinion dynamics, testimony, or communication across social networks…

Social and Information Networks · Computer Science 2025-04-15 Leon Assaad , Rafael Fuchs , Ammar Jalalimanesh , Kirsty Phillips , Klee Schöppl , Ulrike Hahn

In this paper I present several algorithmic techniques for improving the decision process of multiple types of agents behaving in environments where their interests are in conflict. The interactions between the agents are modelled by using…

Computer Science and Game Theory · Computer Science 2009-08-04 Mugurel Ionut Andreica

Quantum computing has demonstrated the potential to solve computationally intensive problems more efficiently than classical methods. Many software engineering tasks, such as test case selection, static analysis, code clone detection, and…

Software Engineering · Computer Science 2025-06-10 Jianjun Zhao

Numerical simulation of quantum systems is crucial to further our understanding of natural phenomena. Many systems of key interest and importance, in areas such as superconducting materials and quantum chemistry, are thought to be described…

Quantum Physics · Physics 2010-11-17 Katherine L Brown , William J Munro , Vivien M Kendon

We propose a model of collective behavior in self-propelled active agents that incorporates a perceptual decision-making process. In this framework, the decision-making dynamics is modeled using quantum formalism. The perceptual decision…

Physics and Society · Physics 2025-10-15 Jyotiranjan Beuria , Mayank Chaurasiya , Laxmidhar Behera

Quantum mechanics can seem like a departure from everyday experience of the physical world, but constructivist theories assert that learners build new ideas from their existing ones. To explore how students can navigate this tension, we…

Physics Education · Physics 2015-07-03 Benjamin W. Dreyfus , Erin Ronayne Sohr , Ayush Gupta , Andrew Elby

QBism is a recently developed version of Quantum Bayesianism. QBists think that the primitive concept of experience is the central subject of science. QBism refuses the idea that the quantum state of a system is an objective description of…

Quantum Physics · Physics 2019-12-30 Hervé Zwirn

We study two forms of a symmetric cooperative game played by three players, one classical and other quantum. In its classical form making a coalition gives advantage to players and they are motivated to do so. However in its quantum form…

Quantum Physics · Physics 2009-11-07 A. Iqbal , A. H. Toor

In recent years, the modeling interest has increased significantly from the molecular level to the atomic and quantum scale. The field of computational chemistry plays a significant role in designing computational models for the operation…

Formal Languages and Automata Theory · Computer Science 2020-07-09 Amandeep Singh Bhatia , Shenggen Zheng

It is well known that the action functional can be used to define classical, quantum, closed, and open dynamics in a generalization of the variational principle and in the path integral formalism in classical and quantum dynamics,…

Quantum Physics · Physics 2024-05-30 Janos Polonyi

I present a quantum-tunnelling oscillator model as a universal dynamical engine for two paradigmatic problems in quantum cognition theory -- optical illusion perception and group decision making -- where individuals are treated as…

Physics and Society · Physics 2026-04-07 Ivan S. Maksymov

A network of agents attempt to learn some unknown state of the world drawn by nature from a finite set. Agents observe private signals conditioned on the true state, and form beliefs about the unknown state accordingly. Each agent may face…

Machine Learning · Computer Science 2015-03-13 Shahin Shahrampour , Mohammad Amin Rahimian , Ali Jadbabaie

The classical simulation of quantum systems typically requires exponential resources. Recently, the introduction of a machine learning-based wavefunction ansatz has led to the ability to solve the quantum many-body problem in regimes that…

Disordered Systems and Neural Networks · Physics 2019-10-24 Joseph Gomes , Keri A. McKiernan , Peter Eastman , Vijay S. Pande