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We introduce a distributed quantum-classical framework that synergizes photonic quantum neural networks (QNNs) with matrix-product-state (MPS) mapping to achieve parameter-efficient training of classical neural networks. By leveraging…

Quantum Physics · Physics 2025-05-14 Kuan-Cheng Chen , Chen-Yu Liu , Yu Shang , Felix Burt , Kin K. Leung

This paper introduces the first quantum computing framework for Stochastic Quantum Power Flow (SQPF) analysis in power systems. The proposed method leverages quantum states to encode power flow distributions, enabling the use of Quantum…

Quantum Physics · Physics 2025-01-13 Brynjar Sævarsson , Hjörtur Jóhannsson , Spyros Chatzivasileiadis

In this study, we utilized the quantum flow (QFlow) method to perform quantum simulations of correlated systems. The QFlow approach allows for sampling large sub-spaces of the Hilbert space by solving coupled variational problems in reduced…

Quantum Physics · Physics 2024-10-17 Karol Kowalski , Nicholas P. Bauman

In quantum many-body systems, measurements can induce qualitative new features, but their simulation is hindered by the exponential complexity involved in sampling the measurement results. We propose to use machine learning to assist the…

Quantum Physics · Physics 2024-12-03 Yuchen Zhu , Molei Tao , Yuebo Jin , Xie Chen

Boltzmann Generators have emerged as a promising machine learning tool for generating samples from equilibrium distributions of molecular systems using Normalizing Flows and importance weighting. Recently, Flow Matching has helped speed up…

Machine Learning · Statistics 2025-10-21 Lorenz Vaitl , Leon Klein

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

Modeling complex systems that evolve toward equilibrium distributions is important in various physical applications, including molecular dynamics and robotic control. These systems often follow the stochastic gradient descent of an…

Machine Learning · Computer Science 2024-10-16 Christopher Iliffe Sprague , Arne Elofsson , Hossein Azizpour

In the past, normalizing generative flows have emerged as a promising class of generative models for natural images. This type of model has many modeling advantages: the ability to efficiently compute log-likelihood of the input data, fast…

Computer Vision and Pattern Recognition · Computer Science 2024-12-20 Alexander Kolesnikov , André Susano Pinto , Michael Tschannen

The question of which and how a particular class of entangled resource states (known as graph states) can be used for measurement based quantum computation (MBQC) recently gave rise to the notion of Flow and its generalisation gFlow. That…

Quantum Physics · Physics 2013-11-15 Damian Markham , Elham Kashefi

Flow matching is a recent framework to train generative models that exhibits impressive empirical performance while being relatively easier to train compared with diffusion-based models. Despite its advantageous properties, prior methods…

Computer Vision and Pattern Recognition · Computer Science 2023-07-18 Quan Dao , Hao Phung , Binh Nguyen , Anh Tran

Sampling from a probability distribution is a core task in many quantum and classical algorithms. Variational quantum circuits provide a natural approach to generating such distributions, as measurement outcomes directly define the…

Quantum Physics · Physics 2026-01-06 Ronit Raj , Kshitij Durge , Manish Mallapur , Rohit Taeja Kumar , Ankur Raina

The recent introduction of machine learning techniques, especially normalizing flows, for the sampling of lattice gauge theories has shed some hope on improving the sampling efficiency of the traditional HMC algorithm. Naive use of…

High Energy Physics - Lattice · Physics 2022-12-06 David Albandea , Luigi Del Debbio , Pilar Hernández , Richard Kenway , Joe Marsh Rossney , Alberto Ramos

Flow matching has recently emerged as a promising alternative to diffusion-based generative models, offering faster sampling and simpler training by learning continuous flows governed by ordinary differential equations. Despite growing…

Machine Learning · Computer Science 2025-12-02 Mudit Gaur , Prashant Trivedi , Shuchin Aeron , Amrit Singh Bedi , George K. Atia , Vaneet Aggarwal

Although ensemble generation remains a central challenge in lattice field theory simulations, recent advances in generative modeling may offer a path to accelerated sampling in these contexts. In this work, we implement a framework for…

High Energy Physics - Lattice · Physics 2025-12-24 Gurtej Kanwar , Octavio Vega

Diffusion-based generative models have reformed generative AI, and also enabled new capabilities in the science domain, e.g., fast generation of 3D structures of molecules. In such tasks, there is often a symmetry in the system, identifying…

Machine Learning · Computer Science 2026-05-15 Yixian Xu , Yusong Wang , Shengjie Luo , Kaiyuan Gao , Tianyu He , Di He , Chang Liu

In this paper, we propose a new methodology to design quantum hybrid diffusion models, derived from classical U-Nets with ResNet and Attention layers. Specifically, we propose two possible different hybridization schemes combining quantum…

The choice of approximate posterior distributions plays a central role in stochastic variational inference (SVI). One effective solution is the use of normalizing flows \cut{defined on Euclidean spaces} to construct flexible posterior…

Machine Learning · Computer Science 2020-08-14 Avishek Joey Bose , Ariella Smofsky , Renjie Liao , Prakash Panangaden , William L. Hamilton

Generative Flow Networks (GFlowNets) are a new family of probabilistic samplers where an agent learns a stochastic policy for generating complex combinatorial structure through a series of decision-making steps. Despite being inspired from…

Machine Learning · Computer Science 2024-02-20 Dinghuai Zhang , Ling Pan , Ricky T. Q. Chen , Aaron Courville , Yoshua Bengio

In the quest to build generative surrogate models as computationally efficient alternatives to rule-based simulations, the quality of the generated samples remains a crucial frontier. So far, normalizing flows have been among the models…

Instrumentation and Detectors · Physics 2024-09-05 Thorsten Buss , Frank Gaede , Gregor Kasieczka , Claudius Krause , David Shih

Entanglement calculations in quantum field theories are extremely challenging and typically rely on the replica trick, where the problem is rephrased in a study of defects. We demonstrate that the use of deep generative models drastically…

High Energy Physics - Lattice · Physics 2025-12-15 Andrea Bulgarelli , Elia Cellini , Karl Jansen , Stefan Kühn , Alessandro Nada , Shinichi Nakajima , Kim A. Nicoli , Marco Panero