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.14152</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/14152</alternateIdentifier>
  </alternateIdentifiers>
  <relatedIdentifiers>
    <relatedIdentifier relatedIdentifierType="DOI" relationType="IsReferencedBy">10.1016/j.compfluid.2024.106508</relatedIdentifier>
    <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 (&lt;a href="https://doi.org/10.48550/arXiv.2402.18619"&gt;arXiv.2402.18619&lt;/a&gt;).&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>
</resource>