November 25, 2025 Dataset Open Access

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

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    <subfield code="a">Greta Sophie Reese</subfield>
    <subfield code="u">Institute for Quantum Physics, University of Hamburg, Luruper Chaussee 149, 22761 Hamburg, Germany. Center for Optical Quantum Technologies, University of Hamburg, 22761 Hamburg, Germany . The Hamburg Centre for Ultrafast Imaging, Hamburg, Germany</subfield>
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    <subfield code="a">Tomohiro Hashizume</subfield>
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    <subfield code="a">Dieter Jaksch</subfield>
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    <subfield code="a">Pia Siegl</subfield>
    <subfield code="u">Institute of Software Methods for Product Virtualization, German Aerospace Center (DLR), Nöthnitzer Straße 46b, 01187 Dresden, Germany. Institute for Quantum Physics, University of Hamburg, Luruper Chaussee 149, 22761 Hamburg, Germany.</subfield>
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    <subfield code="a">&lt;p&gt;We used a self-written Julia library to find unitary approximations of&lt;/p&gt;

&lt;p&gt;matrix product operators (MPO). We implemented the variational quantum algorithms in python,&lt;/p&gt;

&lt;p&gt;using pennylane, pyTorch and Jax.&lt;/p&gt;

&lt;p&gt;&amp;nbsp;&lt;/p&gt;

&lt;p&gt;This dataset contains:&amp;nbsp;&lt;/p&gt;

&lt;p&gt;- Unitaries that represent the MPO operators&lt;/p&gt;

&lt;p&gt;- Weights for all time steps parametrizing the solution of the linear Euler equation, the Burgers&amp;rsquo;&lt;/p&gt;

&lt;p&gt;&amp;nbsp; equation and the Advection-Diffusion equation.&lt;/p&gt;

&lt;p&gt;- Weights encoding the initial condition for the the Burgers&amp;rsquo; equation and the Advection-Diffusion&amp;nbsp;&lt;/p&gt;

&lt;p&gt;&amp;nbsp;&amp;nbsp;&amp;nbsp;equation.&lt;/p&gt;

&lt;p&gt;- Data used for Fig.4, Fig.7 , Fig.8&lt;/p&gt;</subfield>
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