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Beyond their origin in modeling many-body quantum systems, tensor networks have emerged as a promising class of models for solving machine learning problems, notably in unsupervised generative learning. While possessing many desirable…

Machine Learning · Computer Science 2024-07-26 Alex Meiburg , Jing Chen , Jacob Miller , Raphaëlle Tihon , Guillaume Rabusseau , Alejandro Perdomo-Ortiz

Machine learning is a promising application of quantum computing, but challenges remain as near-term devices will have a limited number of physical qubits and high error rates. Motivated by the usefulness of tensor networks for machine…

Quantum Physics · Physics 2019-02-07 William Huggins , Piyush Patel , K. Birgitta Whaley , E. Miles Stoudenmire

Understanding of how biological neural networks process information is one of the biggest open scientific questions of our time. Advances in machine learning and artificial neural networks have enabled the modeling of neuronal behavior, but…

Quantum Physics · Physics 2024-09-17 Vinicius Hernandes , Eliska Greplova

The goal of generative machine learning is to model the probability distribution underlying a given data set. This probability distribution helps to characterize the generation process of the data samples. While classical generative machine…

Quantum Physics · Physics 2021-11-29 Christa Zoufal

Generative modeling, which learns joint probability distribution from data and generates samples according to it, is an important task in machine learning and artificial intelligence. Inspired by probabilistic interpretation of quantum…

Statistical Mechanics · Physics 2018-07-20 Zhao-Yu Han , Jun Wang , Heng Fan , Lei Wang , Pan Zhang

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

Generative models aim to learn the probability distributions underlying data, enabling the generation of new, realistic samples. Quantum inspired generative models, such as Born machines based on the matrix product state framework, have…

Machine Learning · Computer Science 2025-12-30 Wanda Hou , Miao Li , Yi-Zhuang You

Generative models realized with machine learning techniques are powerful tools to infer complex and unknown data distributions from a finite number of training samples in order to produce new synthetic data. Diffusion models are an emerging…

Quantum Physics · Physics 2024-07-18 Marco Parigi , Stefano Martina , Filippo Caruso

A central task in the field of quantum computing is to find applications where quantum computer could provide exponential speedup over any classical computer. Machine learning represents an important field with broad applications where…

Quantum Physics · Physics 2017-11-07 Xun Gao , Zhengyu Zhang , Luming Duan

Quantum computers are expected to enable fast solving of large-scale combinatorial optimization problems. However, their limitations in fidelity and the number of qubits prevent them from handling real-world problems. Recently, a…

Statistical Mechanics · Physics 2025-07-23 Hyakka Nakada , Kotaro Tanahashi , Shu Tanaka

Tensor networks were developed in the context of many-body physics as compressed representations of multiparticle quantum states. These representations mitigate the exponential complexity of many-body systems by capturing only the most…

Machine Learning · Computer Science 2026-04-17 Guillermo Valverde , Igor García-Olaizola , Giannicola Scarpa , Alejandro Pozas-Kerstjens

Accurate molecular force fields are of paramount importance for the efficient implementation of molecular dynamics techniques at large scales. In the last decade, machine learning methods have demonstrated impressive performances in…

Quantum Physics · Physics 2022-07-22 Oriel Kiss , Francesco Tacchino , Sofia Vallecorsa , Ivano Tavernelli

In molecular research, the modelling and analysis of molecules through simulation is an important part that has a direct influence on medical development, material science and drug discovery. The processing power required to design protein…

Quantum Physics · Physics 2026-03-24 Prateek Jain , Param Pathak , Krishna Bhatia , Shalini Devendrababu , Srinjoy Ganguly

The development of efficient machine learning models for molecular systems representation is becoming crucial in scientific research. We introduce TensorNet, an innovative O(3)-equivariant message-passing neural network architecture that…

Machine Learning · Computer Science 2023-10-31 Guillem Simeon , Gianni de Fabritiis

Generative modeling is an unsupervised machine learning framework, that exhibits strong performance in various machine learning tasks. Recently we find several quantum version of generative model, some of which are even proven to have…

Quantum Physics · Physics 2024-02-06 Hiroyuki Tezuka , Shumpei Uno , Naoki Yamamoto

The introduction of quantum concepts is increasingly making its way into generative machine learning models. However, while there are various implementations of quantum Generative Adversarial Networks, the integration of quantum elements…

As the quantum computing community gravitates towards understanding the practical benefits of quantum computers, having a clear definition and evaluation scheme for assessing practical quantum advantage in the context of specific…

Machine Learning · Computer Science 2023-05-12 Kaitlin Gili , Marta Mauri , Alejandro Perdomo-Ortiz

Quantum generative models offer a promising new direction in machine learning by leveraging quantum circuits to enhance data generation capabilities. In this study, we propose a hybrid quantum-classical image generation framework that…

Quantum Physics · Physics 2025-04-04 Chi-Sheng Chen , Wei An Hou , Hsiang-Wei Hu , Zhen-Sheng Cai

Noisy, intermediate-scale quantum (NISQ) computing devices have become an industrial reality in the last few years, and cloud-based interfaces to these devices are enabling exploration of near-term quantum computing on a range of problems.…

Quantum Physics · Physics 2021-04-07 Michael L. Wall , Matthew R. Abernathy , Gregory Quiroz

Active inference provides a general framework for behavior and learning in autonomous agents. It states that an agent will attempt to minimize its variational free energy, defined in terms of beliefs over observations, internal states and…

Machine Learning · Computer Science 2022-09-12 Samuel T. Wauthier , Bram Vanhecke , Tim Verbelen , Bart Dhoedt
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