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Article: Quantum Gaussian filter for exploring ground-state properties

TitleQuantum Gaussian filter for exploring ground-state properties
Authors
Issue Date15-Sep-2022
PublisherAmerican Physical Society
Citation
Physical Review A, 2022, v. 106, n. 3, p. 1-12 How to Cite?
Abstract

Filter methods realize a projection from a superposed quantum state onto a target state, which can be efficient if two states have sufficient overlap. Here we propose a quantum Gaussian filter (QGF) with the filter operator being a Gaussian function of the system Hamiltonian. A hybrid quantum-classical algorithm feasible on near-term quantum computers is developed, which implements the quantum Gaussian filter as a linear combination of Hamiltonian evolution at various times. Remarkably, the linear combination coefficients are determined classically and can be optimized in the postprocessing procedure. Compared to the existing filter algorithms whose coefficients are given in advance, our method is more flexible in practice under given quantum resources with the help of postprocessing on classical computers. We demonstrate the quantum Gaussian filter algorithm for the quantum Ising model with numeral simulations under noises. We also propose an alternative full quantum approach that implements a QGF with an ancillary continuous-variable mode.


Persistent Identifierhttp://hdl.handle.net/10722/340313
ISSN
2023 Impact Factor: 2.6
2023 SCImago Journal Rankings: 1.081
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorHe, MQ-
dc.contributor.authorZhang, DB-
dc.contributor.authorWang, ZD-
dc.date.accessioned2024-03-11T10:43:12Z-
dc.date.available2024-03-11T10:43:12Z-
dc.date.issued2022-09-15-
dc.identifier.citationPhysical Review A, 2022, v. 106, n. 3, p. 1-12-
dc.identifier.issn2469-9926-
dc.identifier.urihttp://hdl.handle.net/10722/340313-
dc.description.abstract<p>Filter methods realize a projection from a superposed quantum state onto a target state, which can be efficient if two states have sufficient overlap. Here we propose a quantum Gaussian filter (QGF) with the filter operator being a Gaussian function of the system Hamiltonian. A hybrid quantum-classical algorithm feasible on near-term quantum computers is developed, which implements the quantum Gaussian filter as a linear combination of Hamiltonian evolution at various times. Remarkably, the linear combination coefficients are determined classically and can be optimized in the postprocessing procedure. Compared to the existing filter algorithms whose coefficients are given in advance, our method is more flexible in practice under given quantum resources with the help of postprocessing on classical computers. We demonstrate the quantum Gaussian filter algorithm for the quantum Ising model with numeral simulations under noises. We also propose an alternative full quantum approach that implements a QGF with an ancillary continuous-variable mode.</p>-
dc.languageeng-
dc.publisherAmerican Physical Society-
dc.relation.ispartofPhysical Review A-
dc.titleQuantum Gaussian filter for exploring ground-state properties-
dc.typeArticle-
dc.identifier.doi10.1103/PhysRevA.106.032420-
dc.identifier.scopuseid_2-s2.0-85139079415-
dc.identifier.volume106-
dc.identifier.issue3-
dc.identifier.spage1-
dc.identifier.epage12-
dc.identifier.eissn2469-9934-
dc.identifier.isiWOS:000933693900005-
dc.publisher.placeCOLLEGE PK-
dc.identifier.issnl2469-9926-

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