February 28, 2024 Dataset Open Access

Over, Paul; Bengoechea, Sergio; Rung, Thomas; Clerici, Francesco; Scandurra, Leonardo; De Villiers, Eugene; Jaksch, Dieter

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  <identifier identifierType="DOI">10.25592/uhhfdm.14124</identifier>
  <creators>
    <creator>
      <creatorName>Over, Paul</creatorName>
      <nameIdentifier nameIdentifierScheme="ORCID" schemeURI="http://orcid.org/">0000-0001-7436-5254</nameIdentifier>
      <affiliation>Institute for Fluid Dynamics and Ship Theory, Hamburg University of Technology, 21073 Hamburg, Germany</affiliation>
    </creator>
    <creator>
      <creatorName>Bengoechea, Sergio</creatorName>
      <nameIdentifier nameIdentifierScheme="ORCID" schemeURI="http://orcid.org/">0009-0001-8205-5878</nameIdentifier>
      <affiliation>Institute for Fluid Dynamics and Ship Theory, Hamburg University of Technology, 21073 Hamburg, Germany</affiliation>
    </creator>
    <creator>
      <creatorName>Rung, Thomas</creatorName>
      <nameIdentifier nameIdentifierScheme="ORCID" schemeURI="http://orcid.org/">0000-0002-3454-1804</nameIdentifier>
      <affiliation>Institute for Fluid Dynamics and Ship Theory, Hamburg University of Technology, 21073 Hamburg, Germany</affiliation>
    </creator>
    <creator>
      <creatorName>Clerici, Francesco</creatorName>
      <nameIdentifier nameIdentifierScheme="ORCID" schemeURI="http://orcid.org/">0009-0002-8153-8111</nameIdentifier>
      <affiliation>ENGYS Srl, Via del Follatoio, 12, 34148 Trieste TS, Italy</affiliation>
    </creator>
    <creator>
      <creatorName>Scandurra, Leonardo</creatorName>
      <nameIdentifier nameIdentifierScheme="ORCID" schemeURI="http://orcid.org/">0000-0003-3075-2919</nameIdentifier>
      <affiliation>ENGYS Srl, Via del Follatoio, 12, 34148 Trieste TS, Italy</affiliation>
    </creator>
    <creator>
      <creatorName>De Villiers, Eugene</creatorName>
      <nameIdentifier nameIdentifierScheme="ORCID" schemeURI="http://orcid.org/">0000-0002-0182-3637</nameIdentifier>
      <affiliation>ENGYS UK, London SW18 3SX, United Kingdom</affiliation>
    </creator>
    <creator>
      <creatorName>Jaksch, Dieter</creatorName>
      <nameIdentifier nameIdentifierScheme="ORCID" schemeURI="http://orcid.org/">0000-0002-9704-3941</nameIdentifier>
      <affiliation>Institute for Quantum Physics, University of Hamburg, 22761 Hamburg, Germany</affiliation>
    </creator>
  </creators>
  <titles>
    <title>Boundary Treatment for Variational Quantum Simulations of Partial Differential Equations on Quantum Computers</title>
  </titles>
  <publisher>Universität Hamburg</publisher>
  <publicationYear>2024</publicationYear>
  <subjects>
    <subject>Computational Fluid Dynamics</subject>
    <subject>Variational Quantum Algorithms</subject>
    <subject>Quantum Computing</subject>
    <subject>Boundary Conditions</subject>
  </subjects>
  <dates>
    <date dateType="Issued">2024-02-28</date>
  </dates>
  <language>en</language>
  <resourceType resourceTypeGeneral="Dataset"/>
  <alternateIdentifiers>
    <alternateIdentifier alternateIdentifierType="url">https://www.fdr.uni-hamburg.de/record/14124</alternateIdentifier>
  </alternateIdentifiers>
  <relatedIdentifiers>
    <relatedIdentifier relatedIdentifierType="DOI" relationType="IsPartOf">10.25592/uhhfdm.14123</relatedIdentifier>
  </relatedIdentifiers>
  <rightsList>
    <rights rightsURI="https://creativecommons.org/licenses/by/4.0/legalcode">Creative Commons Attribution 4.0 International</rights>
    <rights rightsURI="info:eu-repo/semantics/openAccess">Open Access</rights>
  </rightsList>
  <descriptions>
    <description descriptionType="Abstract">&lt;p&gt;The data refers to a variational quantum algorithm experiments solving initial-boundary value problems described by second-order partial differential equations. The approach uses hybrid classical/quantum hardware that is well suited for quantum computers of the current noisy intermediate-scale quantum era. The partial differential equation is initially translated into an optimal control problem with a modular control-to-state operator (ansatz). The examples include steady and unsteady diffusive transport equations for a scalar property in combination with various Dirichlet, Neumann, or Robin conditions. The results are complemented by classical finite difference results, which have been taken for comparison in the underlying document (listed in the related identifier section).&lt;/p&gt;</description>
    <description descriptionType="Other">The current work have received funding from the European Union's Horizon Europe research and innovation program (HORIZON-CL4-2021-DIGITAL-EMERGING-02-10) under grant agreement No. 101080085 QCFD.</description>
  </descriptions>
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