Boosted Binary Quantum Classifier via Graphical Kernel

In terms of the logical structure of data in machine learning (ML), we apply a novel graphical encoding method in quantum computing to build the mapping between feature space of sample data and two-level nested graph state that presents a kind of multi-partite entanglement state. By implementing swa...

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Main Authors: Yuan Li, Duan Huang
Format: Article
Language:English
Published: MDPI AG 2023-05-01
Series:Entropy
Subjects:
Online Access:https://www.mdpi.com/1099-4300/25/6/870
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author Yuan Li
Duan Huang
author_facet Yuan Li
Duan Huang
author_sort Yuan Li
collection DOAJ
description In terms of the logical structure of data in machine learning (ML), we apply a novel graphical encoding method in quantum computing to build the mapping between feature space of sample data and two-level nested graph state that presents a kind of multi-partite entanglement state. By implementing swap-test circuit on the graphical training states, a binary quantum classifier to large-scale test states is effectively realized in this paper. In addition, for the error classification caused by noise, we further explored the subsequent processing scheme by adjusting the weights so that a strong classifier is formed and its accuracy is greatly boosted. In this paper, the proposed boosting algorithm demonstrates superiority in certain aspects as demonstrated via experimental investigation. This work further enriches the theoretical foundation of quantum graph theory and quantum machine learning, which may be exploited to assist the classification of massive-data networks by entangling subgraphs.
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spelling doaj.art-b58e71ceeb2d486eaab6bc048caaf2f72023-11-18T10:17:35ZengMDPI AGEntropy1099-43002023-05-0125687010.3390/e25060870Boosted Binary Quantum Classifier via Graphical KernelYuan Li0Duan Huang1School of Electronic Information Engineering, Shanghai Dianji University, Shanghai 200240, ChinaSchool of Computer Sciences and Engineering, Central South University, Changsha 410083, ChinaIn terms of the logical structure of data in machine learning (ML), we apply a novel graphical encoding method in quantum computing to build the mapping between feature space of sample data and two-level nested graph state that presents a kind of multi-partite entanglement state. By implementing swap-test circuit on the graphical training states, a binary quantum classifier to large-scale test states is effectively realized in this paper. In addition, for the error classification caused by noise, we further explored the subsequent processing scheme by adjusting the weights so that a strong classifier is formed and its accuracy is greatly boosted. In this paper, the proposed boosting algorithm demonstrates superiority in certain aspects as demonstrated via experimental investigation. This work further enriches the theoretical foundation of quantum graph theory and quantum machine learning, which may be exploited to assist the classification of massive-data networks by entangling subgraphs.https://www.mdpi.com/1099-4300/25/6/870quantum computingquantum classifiernested graphical statequantum entangle
spellingShingle Yuan Li
Duan Huang
Boosted Binary Quantum Classifier via Graphical Kernel
Entropy
quantum computing
quantum classifier
nested graphical state
quantum entangle
title Boosted Binary Quantum Classifier via Graphical Kernel
title_full Boosted Binary Quantum Classifier via Graphical Kernel
title_fullStr Boosted Binary Quantum Classifier via Graphical Kernel
title_full_unstemmed Boosted Binary Quantum Classifier via Graphical Kernel
title_short Boosted Binary Quantum Classifier via Graphical Kernel
title_sort boosted binary quantum classifier via graphical kernel
topic quantum computing
quantum classifier
nested graphical state
quantum entangle
url https://www.mdpi.com/1099-4300/25/6/870
work_keys_str_mv AT yuanli boostedbinaryquantumclassifierviagraphicalkernel
AT duanhuang boostedbinaryquantumclassifierviagraphicalkernel