Abstract

Tensor Networks, a numerical tool originally designed for simulating quantum many-body systems, have recently been applied to solve Machine Learning problems. Exploiting a tree tensor network, we apply a quantum-inspired machine learning technique to a very important and challenging big data problem in high-energy physics: the analysis and classification of data produced by the Large Hadron Collider at CERN. In particular, we present how to effectively classify so-called b-jets, jets originating from b-quarks from proton–proton collisions in the LHCb experiment, and how to interpret the classification results. We exploit the Tensor Network approach to select important features and adapt the network geometry based on information acquired in the learning process. Finally, we show how to adapt the tree tensor network to achieve optimal precision or fast response in time without the need of repeating the learning process. These results pave the way to the implementation of high-frequency real-time applications, a key ingredient needed among others for current and future LHCb event classification able to trigger events at the tens of MHz scale.

Highlights

  • Artificial Neural Networks (NN) are a well-established tool for applications in Machine Learning and they are of increasing interest in both research and industry[1,2,3,4,5,6]

  • One particular numerical method originated from quantum physics which has been increasingly compared to NNs are Tensor Networks (TNs)[14,15,16]

  • We present the jet classification performance for the Tree Tensor Network (TTN) and the Deep NN (DNN) applied to the LHCb dataset, comparing both Machine Learning (ML) techniques with the muon tagging approach

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Summary

Introduction

Artificial Neural Networks (NN) are a well-established tool for applications in Machine Learning and they are of increasing interest in both research and industry[1,2,3,4,5,6]. Even though NNs have been highly developed in recent decades by industry and research, the first approaches of ML with TN yield already comparable results when applied to standard datasets[13,27,32]. Due to their original development focusing on quantum systems, TNs allow to compute quantities such as quantum correlations or entanglement entropy and thereby they grant access to insights on the learned data from a distinct point of view for the application in ML16,30. As a potential application of this approach, we present a TN supervised learning of identifying the charge of b-quarks (i.e. b or b) produced in highenergy proton–proton collisions at the Large Hadron Collider (LHC) accelerator at CERN

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