Variational Quantum Eigen-Decomposition Preconditioning Method for Solving Computational Mechanics Problems

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dc.contributor.authorChoi, Eunsik
dc.contributor.authorKim, Jungin E.
dc.contributor.authorWang, Yan
dc.contributor.editorKais, Sabre
dc.contributor.editorSkala, Václav
dc.date.accessioned2025-10-08T14:57:37Z
dc.date.available2025-10-08T14:57:37Z
dc.date.issued2025
dc.description.abstract-translatedRecently, quantum computing emerged as a paradigm for solving systems of linear equations. However, large condition numbers significantly increase the computational complexity of quantum linear equation solvers. In this work, a new quantum preconditioning approach called variational quantum eigen-decomposition (VQED) is proposed, where the preconditioner is defined as a weighted projector onto the subspace spanned by the eigenvectors of a matrix. A variational quantum algorithm with projection-based deflation is performed to calculate eigenvalue eigenvector pairs for constructing the preconditioner. The proposed VQED method is used with quantum singular value transformation to solve linear systems for mechanics examples. It is demonstrated that the VQED can reduce the condition numbers to as low as 1.03, which is a significant improvement over the original condition number.en
dc.format8 s.cs
dc.identifier.doihttp://www.doi.org/10.24132/CSRN.2025-A63
dc.identifier.issn2464-4617
dc.identifier.issn2464-4625
dc.identifier.urihttp://hdl.handle.net/11025/62933
dc.language.isoenen
dc.publisherVaclav Skala - UNION Agencyen
dc.rights© Václav Skala - UNION Agencyen
dc.rights.accessopenAccessen
dc.subjectalgoritmus kvantového lineárního systémucs
dc.subjectpředběžné podmíněnícs
dc.subjectvariační kvantový algoritmuscs
dc.subjectkvantová transformace singulárních hodnotcs
dc.subjectkvantové vědecké výpočtycs
dc.subject.translatedquantum linear system algorithmen
dc.subject.translatedpreconditioningen
dc.subject.translatedvariational quantum algorithmen
dc.subject.translatedquantum singular value trans formationen
dc.subject.translatedquantum scientific computingen
dc.titleVariational Quantum Eigen-Decomposition Preconditioning Method for Solving Computational Mechanics Problemsen
dc.typekonferenční příspěvekcs
dc.typeconferenceObjecten
dc.type.statusPeer revieweden
dc.type.versionpublishedVersionen
local.files.count2*
local.files.size5721820*
local.has.filesyes*

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