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We characterize the class of quantum measurements that matches the applications of quantum theory to cognition (and decision making) - quantum-like modeling. Projective measurements describe the canonical measurements of the basic…

人工智能 · 计算机科学 2025-12-15 Miho Fuyama , Andrei Khrennikov , Masanao Ozawa

Quantum computers have the potential to explore the vast Hilbert space of entangled states that play an important role in the behavior of strongly interacting matter. This opportunity motivates reconsidering the Hamiltonian formulation of…

高能物理 - 格点 · 物理学 2021-01-08 David B. Kaplan , Jesse R. Stryker

Nonlinear modifications of quantum theory are considered potential candidates for the theory of quantum gravity, with the intuitive argument that since Einstein field equations are nonlinear, quantum gravity should be nonlinear as well.…

量子物理 · 物理学 2025-06-06 Ruben Campos Delgado , Martin Plávala

An interpretation and re-formulation of modern physics which removes the presumption of the space-time continuum, and bases physical theory on a small number of rational and empirical principles. After briefly describing the philosophical…

综合物理 · 物理学 2014-05-13 Charles Francis

The recent controversy of applicability of quantum formalism to brain dynamics has been critically analysed. The prerequisites for any type of quantum formalism or quantum field theory is to investigate whether the anatomical structure of…

量子物理 · 物理学 2007-05-23 Sisir Roy , Menas Kafatos

A survey is given summarizing the state of the art of describing information processing in Quantum Decision Theory, which has been recently advanced as a novel variant of decision making, based on the mathematical theory of separable…

物理与社会 · 物理学 2015-05-13 V. I. Yukalov , D. Sornette

The feasibility of wave function collapse in the human brain has been the subject of vigorous scientific debates since the advent of quantum theory. Scientists like Von Neumann, London, Bauer and Wigner (initially) believed that wave…

量子物理 · 物理学 2010-12-14 V. Salari , M. Rahnama , J. A. Tuszynski

The canonical front form Hamiltonian for non-Abelian SU(N) gauge theory in 3+1 dimensions is mapped on an effective Hamiltonian which acts only in the Fock space of one quark and one antiquark. The approach is non-perturbative and exact. It…

高能物理 - 理论 · 物理学 2016-09-06 Hans-Christian Pauli

It is argued that the massive non-Abelian gauge field theory without involving Higgs bosons may be well established on the basis of gauge-invariance principle because the dynamics of the field is gauge-invariant in the physical space…

高能物理 - 理论 · 物理学 2007-05-23 Jun-Chen Su

Absolute confinement of its color charges is a natural property of gauge theories such as quantum chromodynamics. On the one hand, it can be attributed to the existence of color-magnetic monopoles, a topological feature of the theory, but…

高能物理 - 理论 · 物理学 2007-05-23 Gerard 't Hooft

The quantum gravity is formulated based on principle of local gauge invariance. The model discussed in this paper has local gravitational gauge symmetry and gravitational field is represented by gauge field. In leading order approximation,…

高能物理 - 理论 · 物理学 2007-05-23 Ning Wu

The article "Physics of Consciousness" treats mind as an abstract Hilbert space with a set of orthogonal base vectors to describe information like particles, which are considered to be the elementary excitation of a quantum field. A…

综合物理 · 物理学 2010-12-20 Benoy Chakraverty

We present a detailed study of the quantum dissipative dynamics of a charged particle in a magnetic field. Our focus of attention is the effect of dissipation on the low- and high-temperature behavior of the specific heat at constant…

统计力学 · 物理学 2015-05-14 S. Dattagupta , Jishad Kumar , S. Sinha , P. A. Sreeram

Quantum computers take advantage of interfering quantum alternatives in order to handle problems that might be too time consuming with algorithms based on classical logic. Developing quantum computers requires new ways of thinking beyond…

量子物理 · 物理学 2014-09-10 W. C. Parke

Universality of classical thermodynamics rests on the central limit theorem, due to which, measurements of thermal fluctuations are unable to reveal detailed information regarding the microscopic structure of a macroscopic body. When small…

量子物理 · 物理学 2024-02-28 Lucas Chibebe Céleri , Łukasz Rudnicki

Traditional cognitive science rests on a foundation of classical logic and probability theory. This foundation has been seriously challenged by several findings in experimental psychology on human decision making. Meanwhile, the formalism…

人工智能 · 计算机科学 2015-12-31 Diederik Aerts , Sandro Sozzo , Tomas Veloz

Processes undergoing quantum mechanics, exhibit quantum interference effects. In this case quantum probabilities result to be different from classical probabilities because they contain an additional main point that in fact is called the…

Ever since the insight spreaded that tailored dissipation can be employed to control quantum systems and drive them towards pure states, the field of non-equilibrium quantum mechanics gained remarkable momentum. So far research focussed on…

量子物理 · 物理学 2015-07-31 Nicolai Lang , Hans Peter Büchler

The study of the human psyche has elucidated a bipartite structure of cognition reflecting the quantum-classical nature of any process that generates knowledge and learning governed by brain activity. Acknowledging the importance of such a…

神经元与认知 · 定量生物学 2023-04-19 Alessandro Sergi , Antonino Messina , Carmelo M. Vicario , Gabriella Martino

Physical learning machines, be they classical or quantum, are necessarily dissipative systems. The rate of energy dissipation decreases as the learning error rate decreases linking thermodynamic efficiency and learning efficiency. In the…

量子物理 · 物理学 2023-05-16 G J Milburn