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In the rapidly evolving field of quantum computing, tensor networks serve as an important tool due to their multifaceted utility. In this paper, we review the diverse applications of tensor networks and show that they are an important…

Machine learning has blossomed in recent decades and has become essential in many fields. It significantly solved some problems in particle physics -- particle reconstruction, event classification, etc. However, it is now time to break the…

High Energy Physics - Experiment · Physics 2024-03-13 Abdualazem Fadol , Qiyu Sha , Yaquan Fang , Zhan Li , Sitian Qian , Yuyang Xiao , Yu Zhang , Chen Zhou

Simulation is one of the key components in high energy physics. Historically it relies on the Monte Carlo methods which require a tremendous amount of computation resources. These methods may have difficulties with the expected High…

Data Analysis, Statistics and Probability · Physics 2019-10-02 Viktoria Chekalina , Elena Orlova , Fedor Ratnikov , Dmitry Ulyanov , Andrey Ustyuzhanin , Egor Zakharov

Invariance has recently proven to be a powerful inductive bias in machine learning models. One such class of predictive or generative models are tensor networks. We introduce a new numerical algorithm to construct a basis of tensors that…

Machine Learning · Computer Science 2024-07-02 Brent Sprangers , Nick Vannieuwenhoven

Recently, interest in quantum computing has significantly increased, driven by its potential advantages over classical techniques. Quantum machine learning (QML) exemplifies one of the important quantum computing applications that are…

Tensor networks are a popular and computationally efficient approach to simulate general quantum systems on classical computers and, in a broader sense, a framework for dealing with high-dimensional numerical problems. This paper presents a…

Quantum Physics · Physics 2024-12-30 Marcos Díez García , Antonio Márquez Romero

Currently, newly developed artificial intelligence techniques, in particular convolutional neural networks, are being investigated for use in data-processing and classification of particle physics collider data. One such challenging task is…

High Energy Physics - Experiment · Physics 2020-12-07 Jason Sang Hun Lee , Inkyu Park , Ian James Watson , Seungjin Yang

Tensor networks have been successfully applied in simulation of quantum physical systems for decades. Recently, they have also been employed in classical simulation of quantum computing, in particular, random quantum circuits. This paper…

Quantum Physics · Physics 2025-07-08 Xin Hong , Xiangzhen Zhou , Sanjiang Li , Yuan Feng , Mingsheng Ying

We present an efficient tensor-network-based approach for simulating large-scale quantum circuits, demonstrated using Quantum Support Vector Machines (QSVMs). Our method effectively reduces exponential runtime growth to near-quadratic…

Monte Carlo simulations of physics processes at particle colliders like the Large Hadron Collider at CERN take up a major fraction of the computational budget. For some simulations, a single data point takes seconds, minutes, or even hours…

Computational Physics · Physics 2023-02-03 Fady Bishara , Ayan Paul , Jennifer Dy

In this paper, we introduce a type of tensor neural network based machine learning method to solve elliptic multiscale problems. Based on the special structure, we can do the direct and highly accurate high dimensional integrations for the…

Numerical Analysis · Mathematics 2024-03-26 Zhongshuo Lin , Haochen Liu , Hehu Xie

Tensor networks, which have been traditionally used to simulate many-body physics, have recently gained significant attention in the field of machine learning due to their powerful representation capabilities. In this work, we propose a…

Machine Learning · Computer Science 2023-02-02 Xiao Shi , Yun Shang

One of the key tasks of any particle collider is measurement. In practice, this is often done by fitting data to a simulation, which depends on many parameters. Sometimes, when the effects of varying different parameters are highly…

High Energy Physics - Phenomenology · Physics 2021-10-12 Forrest Flesher , Katherine Fraser , Charles Hutchison , Bryan Ostdiek , Matthew D. Schwartz

Interest in deep learning in collider physics has been growing in recent years, specifically in applying these methods in jet classification, anomaly detection, particle identification etc. Among those, jet classification using neural…

High Energy Physics - Phenomenology · Physics 2024-08-05 Camellia Bose , Amit Chakraborty , Shreecheta Chowdhury , Saunak Dutta

Invertible Neural Networks (INN) have become established tools for the simulation and generation of highly complex data. We propose a quantum-gate algorithm for a Quantum Invertible Neural Network (QINN) and apply it to the LHC data of…

High Energy Physics - Phenomenology · Physics 2024-06-05 Armand Rousselot , Michael Spannowsky

Tensor networks (TNs) and neural networks (NNs) are two fundamental data modeling approaches. TNs were introduced to solve the curse of dimensionality in large-scale tensors by converting an exponential number of dimensions to polynomial…

Machine Learning · Computer Science 2025-03-18 Maolin Wang , Yu Pan , Zenglin Xu , Guangxi Li , Xiangli Yang , Danilo Mandic , Andrzej Cichocki

The identification of anomalous events, not explained by the Standard Model of particle physics, and the possible discovery of exotic physical phenomena pose significant theoretical, experimental and computational challenges. The task will…

Quantum Physics · Physics 2025-12-23 Miranda Carou Laiño , Veronika Chobanova , Miriam Lucio Martínez

We build a deep neural network based on the Mask R-CNN framework to detect the Higgs jets and top quark jets in any event image. We propose an algorithm to assign the top quark final states at the ground truth level so that the network can…

High Energy Physics - Phenomenology · Physics 2023-12-06 Sang Kwan Choi , Jinmian Li , Cong Zhang , Rao Zhang

In applications of machine learning to particle physics, a persistent challenge is how to go beyond discrimination to learn about the underlying physics. To this end, a powerful tool would be a framework for unsupervised learning, where the…

High Energy Physics - Phenomenology · Physics 2019-02-20 Anders Andreassen , Ilya Feige , Christopher Frye , Matthew D. Schwartz

Supervised machine learning is the classification of new data based on already classified training examples. In this work, we show that the support vector machine, an optimized binary classifier, can be implemented on a quantum computer,…

Quantum Physics · Physics 2014-10-01 Patrick Rebentrost , Masoud Mohseni , Seth Lloyd
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