September 27, 2026 Dataset Open Access

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

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{"conceptdoi":"10.25592/uhhfdm.18962","conceptrecid":"18962","created":"2026-09-27T17:03:51.450570+00:00","doi":"10.25592/uhhfdm.21872","id":21872,"links":{"badge":"https://www.fdr.uni-hamburg.de/badge/doi/10.25592/uhhfdm.21872.svg","conceptbadge":"https://www.fdr.uni-hamburg.de/badge/doi/10.25592/uhhfdm.18962.svg","conceptdoi":"http://doi.org/10.25592/uhhfdm.18962","doi":"http://doi.org/10.25592/uhhfdm.21872"},"metadata":{"access_right":"open","access_right_category":"success","communities":[{"id":"qcfd"},{"id":"uhh"}],"creators":[{"affiliation":"Institute for Fluid Dynamics and Ship Theory, Hamburg University of Technology, 21073 Hamburg, Germany","name":"Over, Paul","orcid":"0000-0001-7436-5254"},{"affiliation":"Institute for Fluid Dynamics and Ship Theory, Hamburg University of Technology, 21073 Hamburg, Germany","name":"Bengoechea, Sergio","orcid":"0009-0001-8205-5878"},{"affiliation":"PlanQC GmbH, D-85748 Garching, Germany","name":"Borello Busilacchi, Leonardo","orcid":"0009-0009-7755-382X"},{"affiliation":"PlanQC GmbH, D-85748 Garching, Germany","name":"Kiffner, Martin","orcid":"0000-0002-8321-6768"},{"affiliation":"Institute for Fluid Dynamics and Ship Theory, Hamburg University of Technology, 21073 Hamburg, Germany","name":"Rung, Thomas","orcid":"0000-0002-3454-1804"},{"affiliation":"PlanQC GmbH, D-85748 Garching, Germany","name":"Michailidis,  Alexios A.","orcid":"0000-0002-8443-1064"}],"description":"<p>The data refers to an operator learning protocol that compiles discrete&nbsp;operators into compact quantum circuits, for which a pre-print is&nbsp;available via <a href=\"https://arxiv.org/abs/2606.20184\">arXiv:2606.20184</a>.&nbsp;The approach learns a layered sequence of local multi-qubit gates by&nbsp;backpropagation combined with a unitary retraction, allows the qubit&nbsp;connectivity of the target hardware to be taken into account, and&nbsp;represents non-unitary operators by a block encoding with a single&nbsp;ancilla qubit. The examples include propagators of the transverse-field&nbsp;Ising model and of the Pariser&ndash;Parr&ndash;Pople model of butadiene, which are&nbsp;compared with Suzuki&ndash;Trotter expansions, as well as the finite-difference&nbsp;approximation of the second derivative for one- and two-dimensional&nbsp;qubit topologies and a dense operator arising from a panel method for&nbsp;the inviscid flow around an airfoil. The repository contains one archive&nbsp;per experiment (exp1.zip &ndash; exp4.zip).</p>","doi":"10.25592/uhhfdm.21872","keywords":["Quantum Operator Learning","Qubit Connectivity","Matrix Encoding","Quantum Circuits Synthesis"],"license":{"id":"CC-BY-4.0"},"notes":"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.","publication_date":"2026-09-27","related_identifiers":[{"identifier":"10.48550/arXiv.2606.20184","relation":"isDerivedFrom","scheme":"doi"},{"identifier":"10.25592/uhhfdm.18962","relation":"isVersionOf","scheme":"doi"}],"relations":{"version":[{"count":2,"index":1,"is_last":true,"last_child":{"pid_type":"recid","pid_value":"21872"},"parent":{"pid_type":"recid","pid_value":"18962"}}]},"resource_type":{"title":"Dataset","type":"dataset"},"title":"Operator Learning for efficient Quantum Computation","version":"v2"},"owners":[569],"revision":2,"updated":"2026-09-27T17:06:04.805403+00:00"}