Unitary-coupled restricted Boltzmann machine ansatz for quantum simulations

Abstract Neural-network quantum state (NQS) has attracted significant interests as a powerful wave-function ansatz to model quantum phenomena. In particular, a variant of NQS based on the restricted Boltzmann machine (RBM) has been adapted to model the ground state of spin lattices and the electroni...

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Autores principales:	Chang Yu Hsieh, Qiming Sun, Shengyu Zhang, Chee Kong Lee
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2021
Materias:	Physics QC1-999 Electronic computers. Computer science QA75.5-76.95
Acceso en línea:	https://doaj.org/article/e700190ebe7e4248bb318525bc0e1341
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spelling	oai:doaj.org-article:e700190ebe7e4248bb318525bc0e13412021-12-02T14:16:07ZUnitary-coupled restricted Boltzmann machine ansatz for quantum simulations10.1038/s41534-020-00347-12056-6387https://doaj.org/article/e700190ebe7e4248bb318525bc0e13412021-01-01T00:00:00Zhttps://doi.org/10.1038/s41534-020-00347-1https://doaj.org/toc/2056-6387Abstract Neural-network quantum state (NQS) has attracted significant interests as a powerful wave-function ansatz to model quantum phenomena. In particular, a variant of NQS based on the restricted Boltzmann machine (RBM) has been adapted to model the ground state of spin lattices and the electronic structures of small molecules in quantum devices. Despite these progresses, significant challenges remain with the RBM-NQS-based quantum simulations. In this work, we present a state-preparation protocol to generate a specific set of complex-valued RBM-NQS, which we name the unitary-coupled RBM-NQS, in quantum circuits. Our proposal expands the applicability of NQS as prior works deal exclusively with real-valued RBM-NQS for quantum algorithms. With this scheme, we achieve (1) modeling complex-valued wave functions, (2) using as few as one ancilla qubit to simulate M hidden spins in an RBM architecture, and (3) avoiding post-selections to improve scalability.Chang Yu HsiehQiming SunShengyu ZhangChee Kong LeeNature PortfolioarticlePhysicsQC1-999Electronic computers. Computer scienceQA75.5-76.95ENnpj Quantum Information, Vol 7, Iss 1, Pp 1-10 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Physics QC1-999 Electronic computers. Computer science QA75.5-76.95
spellingShingle	Physics QC1-999 Electronic computers. Computer science QA75.5-76.95 Chang Yu Hsieh Qiming Sun Shengyu Zhang Chee Kong Lee Unitary-coupled restricted Boltzmann machine ansatz for quantum simulations
description	Abstract Neural-network quantum state (NQS) has attracted significant interests as a powerful wave-function ansatz to model quantum phenomena. In particular, a variant of NQS based on the restricted Boltzmann machine (RBM) has been adapted to model the ground state of spin lattices and the electronic structures of small molecules in quantum devices. Despite these progresses, significant challenges remain with the RBM-NQS-based quantum simulations. In this work, we present a state-preparation protocol to generate a specific set of complex-valued RBM-NQS, which we name the unitary-coupled RBM-NQS, in quantum circuits. Our proposal expands the applicability of NQS as prior works deal exclusively with real-valued RBM-NQS for quantum algorithms. With this scheme, we achieve (1) modeling complex-valued wave functions, (2) using as few as one ancilla qubit to simulate M hidden spins in an RBM architecture, and (3) avoiding post-selections to improve scalability.
format	article
author	Chang Yu Hsieh Qiming Sun Shengyu Zhang Chee Kong Lee
author_facet	Chang Yu Hsieh Qiming Sun Shengyu Zhang Chee Kong Lee
author_sort	Chang Yu Hsieh
title	Unitary-coupled restricted Boltzmann machine ansatz for quantum simulations
title_short	Unitary-coupled restricted Boltzmann machine ansatz for quantum simulations
title_full	Unitary-coupled restricted Boltzmann machine ansatz for quantum simulations
title_fullStr	Unitary-coupled restricted Boltzmann machine ansatz for quantum simulations
title_full_unstemmed	Unitary-coupled restricted Boltzmann machine ansatz for quantum simulations
title_sort	unitary-coupled restricted boltzmann machine ansatz for quantum simulations
publisher	Nature Portfolio
publishDate	2021
url	https://doaj.org/article/e700190ebe7e4248bb318525bc0e1341
work_keys_str_mv	AT changyuhsieh unitarycoupledrestrictedboltzmannmachineansatzforquantumsimulations AT qimingsun unitarycoupledrestrictedboltzmannmachineansatzforquantumsimulations AT shengyuzhang unitarycoupledrestrictedboltzmannmachineansatzforquantumsimulations AT cheekonglee unitarycoupledrestrictedboltzmannmachineansatzforquantumsimulations
_version_	1718391756605620224

Unitary-coupled restricted Boltzmann machine ansatz for quantum simulations

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