Dataset Open Access

Dataset Tensor-Programmable Quantum Circuits for Solving Differential Equations

Pia Siegl; Greta Sophie Reese; Tomohiro Hashizume; Nis-Luca van Hülst; Dieter Jaksch

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<oai_dc:dc xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd">
  <dc:creator>Pia Siegl</dc:creator>
  <dc:creator>Greta Sophie Reese</dc:creator>
  <dc:creator>Tomohiro Hashizume</dc:creator>
  <dc:creator>Nis-Luca van Hülst</dc:creator>
  <dc:creator>Dieter Jaksch</dc:creator>
  <dc:date>2025-10-06</dc:date>
  <dc:description>We used a self-written Julia library to find unitary approximations of

matrix product operators (MPO). We implemented the variational quantum algorithms in python,

using pennylane, pyTorch and Jax.

 

This dataset contains: 

- Unitaries that represent the MPO operators

- Weights for all time steps parametrizing the solution of the linear Euler equation, the Burgers’

  equation and the Advection-Diffusion equation.

- Weights encoding the initial condition for the the Burgers’ equation and the Advection-Diffusion 

   equation.

- Data used for Fig.4, Fig.7 , Fig.8</dc:description>
  <dc:identifier>https://www.fdr.uni-hamburg.de/record/18010</dc:identifier>
  <dc:identifier>10.25592/uhhfdm.18010</dc:identifier>
  <dc:identifier>oai:fdr.uni-hamburg.de:18010</dc:identifier>
  <dc:language>eng</dc:language>
  <dc:relation>url:https://arxiv.org/abs/2502.04425</dc:relation>
  <dc:relation>doi:10.25592/uhhfdm.16775</dc:relation>
  <dc:rights>info:eu-repo/semantics/openAccess</dc:rights>
  <dc:rights>https://creativecommons.org/licenses/by/4.0/legalcode</dc:rights>
  <dc:subject>Computational Fluid Dynamics</dc:subject>
  <dc:subject>Variational Quantum Algorithms</dc:subject>
  <dc:subject>Non-Unitary Operators</dc:subject>
  <dc:subject>Quantum Computing</dc:subject>
  <dc:title>Dataset Tensor-Programmable Quantum Circuits for Solving Differential Equations</dc:title>
  <dc:type>info:eu-repo/semantics/other</dc:type>
  <dc:type>dataset</dc:type>
</oai_dc:dc>
Publication date:
October 6, 2025
DOI:
10.25592/uhhfdm.18010

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Keyword(s):
Computational Fluid Dynamics Variational Quantum Algorithms Non-Unitary Operators Quantum Computing
Related identifiers:
Supplement to:
https://arxiv.org/abs/2502.04425
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License (for files):
Creative Commons Attribution 4.0 International

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Version 2 10.25592/uhhfdm.18010 Oct 6, 2025
Version 1 10.25592/uhhfdm.16776 Feb 11, 2025
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