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Quantum computing promises to provide machine learning with computational advantages. However, noisy intermediate-scale quantum (NISQ) devices pose engineering challenges to realizing quantum machine learning (QML) advantages. Recently, a…

Quantum Physics · Physics 2022-07-22 Rodrigo Araiza Bravo , Khadijeh Najafi , Xun Gao , Susanne F. Yelin

Today, the competition to build a quantum computer continues, and the number of qubits in hardware is increasing rapidly. However, the quantum noise that comes with this process reduces the performance of algorithmic applications, so…

Quantum Physics · Physics 2023-07-25 Ufuk Korkmaz , Deniz Türkpençe

One of the defining characteristics of human creativity is the ability to make conceptual leaps, creating something surprising from typical knowledge. In comparison, deep neural networks often struggle to handle cases outside of their…

Machine Learning · Computer Science 2018-09-10 Matthew Guzdial , Mark O. Riedl

This manuscript aims to illustrate a quantum-classical dissipative theory (suited to be converted to effective algorithms for numerical simulations) within the long-term project of studying molecular processes in the brain. Other…

Neurons and Cognition · Quantitative Biology 2025-03-04 Alessandro Sergi , Antonino Messina , Rosalba Saija , Gabriella Martino , Maria Teresa Caccamo , Min-Fang Kuo , Michael A. Nitsche

We propose a model of quantum-like (QL) processing of mental information. This model is based on quantum information theory. However, in contrast to models of "quantum physical brain" reducing mental activity (at least at the highest level)…

General Physics · Physics 2012-10-09 Andrei Khrennikov

In this article, we explore the effects of memory terms in continuous-layer Deep Residual Networks by studying Neural ODEs (NODEs). We investigate two types of models. On one side, we consider the case of Residual Neural Networks with…

Optimization and Control · Mathematics 2021-10-19 Domènec Ruiz-Balet , Elisa Affili , Enrique Zuazua

We describe a new class of learning models called memory networks. Memory networks reason with inference components combined with a long-term memory component; they learn how to use these jointly. The long-term memory can be read and…

Artificial Intelligence · Computer Science 2015-12-01 Jason Weston , Sumit Chopra , Antoine Bordes

This perspective explores various quantum models of consciousness from the viewpoint of quantum information science, offering potential ideas and insights. The models under consideration can be categorized into three distinct groups based…

Neurons and Cognition · Quantitative Biology 2025-11-19 Lea Gassab , Onur Pusuluk , Marco Cattaneo , Özgür E. Müstecaplıoğlu

The quantum neural network is one of the promising applications for near-term noisy intermediate-scale quantum computers. A quantum neural network distills the information from the input wavefunction into the output qubits. In this Letter,…

Disordered Systems and Neural Networks · Physics 2020-05-27 Huitao Shen , Pengfei Zhang , Yi-Zhuang You , Hui Zhai

Computing the ground state of interacting quantum matter is a long-standing challenge, especially for complex two-dimensional systems. Recent developments have highlighted the potential of neural quantum states to solve the quantum…

Disordered Systems and Neural Networks · Physics 2025-07-03 Ao Chen , Markus Heyl

How does the brain predict physical outcomes while acting in the world? Machine learning world models compress visual input into latent spaces, discarding the spatial structure that characterizes sensory cortex. We propose isomorphic world…

Neurons and Cognition · Quantitative Biology 2026-02-24 Joshua Nunley

The purpose of this paper is to extend J.C. Willems' theory of dissipative systems to the quantum domain. This general theory, which combines perspectives from the quantum physics and control engineering communities, provides useful methods…

Quantum Physics · Physics 2009-05-07 Matthew R. James , John Gough

This paper proposes a novel framework for recurrent neural networks (RNNs) inspired by the human memory models in the field of cognitive neuroscience to enhance information processing and transmission between adjacent RNNs' units. The…

Neural and Evolutionary Computing · Computer Science 2018-06-05 Xi Chen , Zhihong Deng , Gehui Shen , Ting Huang

We discuss a quantum version of an artificial deep neural network where the role of neurons is taken over by qubits and the role of weights is played by unitaries. The role of the non-linear activation function is taken over by subsequently…

Quantum Physics · Physics 2024-03-21 Beatrix C. Hiesmayr

This paper provides an introduction to quantum machine learning, exploring the potential benefits of using quantum computing principles and algorithms that may improve upon classical machine learning approaches. Quantum computing utilizes…

Quantum Physics · Physics 2024-02-23 Ethan N. Evans , Dominic Byrne , Matthew G. Cook

Quantum optical networks are instrumental to address fundamental questions and enable applications ranging from communication to computation and, more recently, machine learning. In particular, photonic artificial neural networks offer the…

Neural Networks accomplish amazing things, but they suffer from computational and memory bottlenecks that restrict their usage. Nowhere can this be better seen than in the mobile space, where specialized hardware is being created just to…

Computer Vision and Pattern Recognition · Computer Science 2019-04-15 Jon Hoffman

Quantum neural networks (QNNs), harnessing superposition and entanglement, have shown potential to surpass classical methods in complex learning tasks but remain limited by hardware constraints and noisy conditions. In this work, we present…

Quantum Physics · Physics 2025-03-04 Mohammad Junayed Hasan , M. R. C. Mahdy

Quantum neural networks generalize classical artificial neural networks into the quantum domain. They are formulated as parameterized quantum circuits which are optimized by measuring and minimizing a suitably chosen loss function. The core…

Quantum Physics · Physics 2026-04-29 Mario Boneberg , Simon Kochsiek , Igor Lesanovsky

Residual deep neural networks (ResNets) are mathematically described as interacting particle systems. In the case of infinitely many layers the ResNet leads to a system of coupled system of ordinary differential equations known as neural…

Analysis of PDEs · Mathematics 2022-05-11 M. Herty , A. Thuenen , T. Trimborn , G. Visconti
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