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Related papers: Emergent Quantumness in Neural Networks

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Hybrid quantum-classical neural networks represent a promising frontier in the search for improved machine learning models. This thesis explores the integration of quantum layers within classical convolutional neural network architectures,…

Quantum Physics · Physics 2025-07-18 Silvie Illésová

We present an approach to simulate the Schr\"odinger equation through continuous time quantum walks. The CTQW-based simulation applies unitary evolution driven by a quantum walk to generate probability amplitude distributions at various…

Quantum Physics · Physics 2025-09-16 Rachana Soni , Navneet Pratap Singh

Neural networks posses the crucial ability to generate meaningful representations of task-dependent features. Indeed, with appropriate scaling, supervised learning in neural networks can result in strong, task-dependent feature learning.…

Machine Learning · Computer Science 2025-05-13 Alexander van Meegen , Haim Sompolinsky

We introduce a new family of trial wave-functions based on deep neural networks to solve the many-electron Schr\"odinger equation. The Pauli exclusion principle is dealt with explicitly to ensure that the trial wave-functions are physical.…

Computational Physics · Physics 2020-07-21 Jiequn Han , Linfeng Zhang , Weinan E

The unimodular theory of gravity admits a canonical quantization of minisuperspace models without the problem of time. We derive instead a kind of Schr\"odinger equation. We have found unitarily evolving wave packet solutions for the…

General Relativity and Quantum Cosmology · Physics 2018-01-17 Natascha Riahi

Characterising the intelligence of biological organisms is challenging. This work considers intelligent algorithms developed evolutionarily within neural systems. Mathematical analyses unveil a natural equivalence between canonical neural…

Neurons and Cognition · Quantitative Biology 2025-01-06 Takuya Isomura

The evolution of both quantum and classical ensembles may be described via the probability density P on configuration space, its canonical conjugate S, and an_ensemble_ Hamiltonian H[P,S]. For quantum ensembles this evolution is, of course,…

Quantum Physics · Physics 2009-11-10 Michael J. W. Hall

Quantum Neural Networks (QNNs) are a promising variational learning paradigm with applications to near-term quantum processors, however they still face some significant challenges. One such challenge is finding good parameter initialization…

Finding accurate solutions to the Schr\"odinger equation is the key unsolved challenge of computational chemistry. Given its importance for the development of new chemical compounds, decades of research have been dedicated to this problem,…

Machine Learning · Computer Science 2022-10-12 Leon Gerard , Michael Scherbela , Philipp Marquetand , Philipp Grohs

Deep quantum neural networks may provide a promising way to achieve quantum learning advantage with noisy intermediate scale quantum devices. Here, we use deep quantum feedforward neural networks capable of universal quantum computation to…

Quantum Physics · Physics 2020-08-14 Zidu Liu , L. -M. Duan , Dong-Ling Deng

Generative modeling using samples drawn from the probability distribution constitutes a powerful approach for unsupervised machine learning. Quantum mechanical systems can produce probability distributions that exhibit quantum correlations…

Quantum Physics · Physics 2022-10-07 Xun Gao , Eric R. Anschuetz , Sheng-Tao Wang , J. Ignacio Cirac , Mikhail D. Lukin

Deep learning has led to a paradigm shift in artificial intelligence, including web, text and image search, speech recognition, as well as bioinformatics, with growing impact in chemical physics. Machine learning in general and deep…

Quantum machine learning (QML) shows promise for analyzing quantum data. A notable example is the use of quantum convolutional neural networks (QCNNs), implemented as specific types of quantum circuits, to recognize phases of matter. In…

Quantum Physics · Physics 2025-01-07 Chukwudubem Umeano , Annie E. Paine , Vincent E. Elfving , Oleksandr Kyriienko

Current quantum theories of consciousness suggest a configuration space of an entangled ensemble state as global work space for conscious experience. This study will describe a procedure for adjustment of the singlet evolution of a quantum…

Quantum Physics · Physics 2007-05-23 Erhard Bieberich

Artificial intelligence (AI) has drawn significant inspiration from neuroscience to develop artificial neural network (ANN) models. However, these models remain constrained by the Von Neumann architecture and struggle to capture the…

Neurons and Cognition · Quantitative Biology 2025-11-18 Gautier-Edouard Filardo , Thibaut Heckmann

The core of quantum machine learning is to devise quantum models with good trainability and low generalization error bound than their classical counterparts to ensure better reliability and interpretability. Recent studies confirmed that…

Quantum Physics · Physics 2021-06-10 Yang Qian , Xinbiao Wang , Yuxuan Du , Xingyao Wu , Dacheng Tao

Parameterized quantum circuits can be used as quantum neural networks and have the potential to outperform their classical counterparts when trained for addressing learning problems. To date, much of the results on their performance on…

Quantum Physics · Physics 2023-04-13 Junyu Liu , Khadijeh Najafi , Kunal Sharma , Francesco Tacchino , Liang Jiang , Antonio Mezzacapo

We present a unified geometric framework for modeling learning dynamics in physical, biological, and machine learning systems. The theory reveals three fundamental regimes, each emerging from the power-law relationship $g \propto…

Machine Learning · Computer Science 2026-03-17 Vitaly Vanchurin

Identifying the physiological processes in the central nervous system that underlie our conscious experiences has been at the forefront of cognitive neuroscience. While the principles of classical physics were long found to be…

Neurons and Cognition · Quantitative Biology 2021-05-05 Danko D. Georgiev

Recently, quantum neural networks or quantum-classical neural networks (qcNN) have been actively studied, as a possible alternative to the conventional classical neural network (cNN), but their practical and theoretically-guaranteed…

Quantum Physics · Physics 2023-12-12 Kouhei Nakaji , Hiroyuki Tezuka , Naoki Yamamoto