September 27, 2026 Dataset Open Access

Over, Paul; Bengoechea, Sergio; Borello Busilacchi, Leonardo; Kiffner, Martin; Rung, Thomas; Michailidis, Alexios A.

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  <identifier identifierType="DOI">10.25592/uhhfdm.21872</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>Borello Busilacchi, Leonardo</creatorName>
      <nameIdentifier nameIdentifierScheme="ORCID" schemeURI="http://orcid.org/">0009-0009-7755-382X</nameIdentifier>
      <affiliation>PlanQC GmbH, D-85748 Garching, Germany</affiliation>
    </creator>
    <creator>
      <creatorName>Kiffner, Martin</creatorName>
      <nameIdentifier nameIdentifierScheme="ORCID" schemeURI="http://orcid.org/">0000-0002-8321-6768</nameIdentifier>
      <affiliation>PlanQC GmbH, D-85748 Garching, 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>Michailidis,  Alexios A.</creatorName>
      <nameIdentifier nameIdentifierScheme="ORCID" schemeURI="http://orcid.org/">0000-0002-8443-1064</nameIdentifier>
      <affiliation>PlanQC GmbH, D-85748 Garching, Germany</affiliation>
    </creator>
  </creators>
  <titles>
    <title>Operator Learning for efficient Quantum Computation</title>
  </titles>
  <publisher>Universität Hamburg</publisher>
  <publicationYear>2026</publicationYear>
  <subjects>
    <subject>Quantum Operator Learning</subject>
    <subject>Qubit Connectivity</subject>
    <subject>Matrix Encoding</subject>
    <subject>Quantum Circuits Synthesis</subject>
  </subjects>
  <dates>
    <date dateType="Issued">2026-09-27</date>
  </dates>
  <resourceType resourceTypeGeneral="Dataset"/>
  <alternateIdentifiers>
    <alternateIdentifier alternateIdentifierType="url">https://www.fdr.uni-hamburg.de/record/21872</alternateIdentifier>
  </alternateIdentifiers>
  <relatedIdentifiers>
    <relatedIdentifier relatedIdentifierType="DOI" relationType="IsDerivedFrom">10.48550/arXiv.2606.20184</relatedIdentifier>
    <relatedIdentifier relatedIdentifierType="DOI" relationType="IsPartOf">10.25592/uhhfdm.18962</relatedIdentifier>
  </relatedIdentifiers>
  <version>v2</version>
  <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 an operator learning protocol that compiles discrete&amp;nbsp;operators into compact quantum circuits, for which a pre-print is&amp;nbsp;available via &lt;a href="https://arxiv.org/abs/2606.20184"&gt;arXiv:2606.20184&lt;/a&gt;.&amp;nbsp;The approach learns a layered sequence of local multi-qubit gates by&amp;nbsp;backpropagation combined with a unitary retraction, allows the qubit&amp;nbsp;connectivity of the target hardware to be taken into account, and&amp;nbsp;represents non-unitary operators by a block encoding with a single&amp;nbsp;ancilla qubit. The examples include propagators of the transverse-field&amp;nbsp;Ising model and of the Pariser&amp;ndash;Parr&amp;ndash;Pople model of butadiene, which are&amp;nbsp;compared with Suzuki&amp;ndash;Trotter expansions, as well as the finite-difference&amp;nbsp;approximation of the second derivative for one- and two-dimensional&amp;nbsp;qubit topologies and a dense operator arising from a panel method for&amp;nbsp;the inviscid flow around an airfoil. The repository contains one archive&amp;nbsp;per experiment (exp1.zip &amp;ndash; exp4.zip).&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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