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Perceptrons are the basic computational unit of artificial neural networks, as they model the activation mechanism of an output neuron due to incoming signals from its neighbours. As linear classifiers, they play an important role in the…

Quantum Physics · Physics 2015-01-28 Maria Schuld , Ilya Sinayskiy , Francesco Petruccione

Categorization is a significant task in decision-making, which is a key part of human behavior. An interference effect is caused by categorization in some cases, which breaks the total probability principle. A negation quantum model (NQ…

Artificial Intelligence · Computer Science 2021-04-20 Qinyuan Wu , Yong Deng

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

The past few years have seen a surge in the application of quantum theory methodologies and quantum-like modeling in fields such as cognition, psychology, and decision-making. Despite the success of this approach in explaining various…

Physics and Society · Physics 2025-11-18 Andrei Khrennikov , Masanao Ozawa , Felix Benninger , Oded Shor

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

Quantum computing has been moving from a theoretical phase to practical one, presenting daunting challenges in implementing physical qubits, which are subjected to noises from the surrounding environment. These quantum noises are ubiquitous…

Machine learning has recently developed novel approaches, mimicking the synapses of the human brain to achieve similarly efficient learning strategies. Such an approach retains the universality of standard methods, while attempting to…

A simple exactly solvable model is given of the dynamical coupling between a person's classically described perceptions and that person's quantum mechanically described brain. The model is based jointly upon von Neumann's theory of…

General Physics · Physics 2008-03-12 Henry P. Stapp

There are inherent limits in classical computation for it to serve as an adequate model of human cognition. In particular, non-commutativity, while ubiquitous in physics and psychology, cannot be sufficiently handled. We propose that we…

Neurons and Cognition · Quantitative Biology 2019-11-14 Hongbin Wang , Jack W. Smith , Yanlong Sun

Quantum reservoir computing uses the dynamics of quantum systems to process temporal data, making it particularly well-suited for machine learning with noisy intermediate-scale quantum devices. Recent developments have introduced…

Quantum Physics · Physics 2026-02-25 Lukas Gonon , Rodrigo Martínez-Peña , Juan-Pablo Ortega

By uncovering the contrast between Artificial Intelligence and Natural-born Intelligence as a computational process, we define closed computing and open computing, and implement open computing within chemical reactions. This involves…

Artificial Intelligence · Computer Science 2025-09-03 Yukio-Pegio Gunji , Andrew Adamatzky , Panagiotis Mougkogiannis , Andrei Khrenikov

Formalisms based on quantum theory have been used in Cognitive Science for decades due to their descriptive features. A quantum-like (QL) approach provides descriptive features such as state superposition and probabilistic interference…

Robotics · Computer Science 2020-06-05 Davide Lanza , Paolo Solinas , Fulvio Mastrogiovanni

Artificial neural network, consisting of many neurons in different layers, is an important method to simulate humain brain. Usually, one neuron has two operations: one is linear, the other is nonlinear. The linear operation is inner product…

Quantum Physics · Physics 2019-07-31 Jian Zhao , Yuan-Hang Zhang , Chang-Peng Shao , Yu-Chun Wu , Guang-Can Guo , Guo-Ping Guo

The cognitive frame in which most neuropsychological research on the neural basis of behavior is conducted contains the assumption that brain mechanisms per se fully suffice to explain all psychologically described phenomena. This…

Neurons and Cognition · Quantitative Biology 2007-05-23 J. M. Schwartz , H. P. Stapp , M. Beauregard

Recent advances in the fields of deep learning and quantum computing have paved the way for innovative developments in artificial intelligence. In this manuscript, we leverage these cutting-edge technologies to introduce a novel model that…

Emerging Technologies · Computer Science 2025-05-06 Eva Andrés , Manuel Pegalajar Cuéllar , Gabriel Navarro

There is a widespread view that the human brain is so complex that it cannot be efficiently simulated by universal Turing machines. During the last decades the question has therefore been raised whether we need to consider quantum effects…

Neurons and Cognition · Quantitative Biology 2019-05-29 Göran Wendin

The actual (classical) Brain-Computer Interface attempts to use brain signals to drive suitable actuators performing the actions corresponding to subject's intention. However this goal is not fully reached, and when BCI works, it does only…

General Physics · Physics 2009-09-09 Eliano Pessa , Paola zizzi

We propose a method for the algorithmic quantum simulation of memory effects described by integrodifferential evolution equations. It consists in the systematic use of perturbation theory techniques and a Markovian quantum simulator. Our…

Quantum Physics · Physics 2017-03-01 U. Alvarez-Rodriguez , R. Di Candia , J. Casanova , M. Sanz , E. Solano

The traditional view of neural computation in the cerebral cortex holds that sensory neurons are specialized, i.e., selective for certain dimensions of sensory stimuli. This view was challenged by evidence of contextual interactions between…

Neurons and Cognition · Quantitative Biology 2022-04-26 Sergei Gepshtein , Ambarish Pawar , Sunwoo Kwon , Sergey Savel'ev , Thomas D. Albright

Classifying the information content of neural spike trains in a linguistic endeavor, an uncertainty relation emerges between the bit size of a word and its duration. This uncertainty is associated with the task of synchronizing the spike…

Neurons and Cognition · Quantitative Biology 2015-06-02 F. Tito Arecchi