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This research introduces a novel method using Tensor Networks, specifically Matrix Product States, to automate active space selection in molecular electronic structure calculations. By leveraging entanglement features to isolate strongly correlated electrons without manual intervention or expensive high-order density matrices, the approach improves accuracy and scalability for embedding methods compared to traditional entropy-based schemes. The work represents significant progress at the intersection of quantum algorithms and computational chemistry applications.
TNASS: Tensor Network Active Space Selection with the Entanglement Feature
arXiv:2608.03645v1 Announce Type: cross Abstract: The quality of multi-scale modelling techniques in molecular electronic structure calculations, such as embedding and subspace methods, relies upon the chosen active space. The automation of active space selection is vital for ensuring the accuracy, reproducibility, and scalability in such calculations. In this work, we introduce Tensor Network Active Space Selection using the Entanglement Feature. Through the isolation of strongly correlated electrons, this method provides a scalable foundation for embedding methods in multi-scale modelling. By representing the purities of all possible orbital partitions as a Matrix Product State, our method isolates regions of strong electron correlation without requiring manual preselection of target atoms or the calculation of expensive high-order density matrices. The results demonstrate that this approach leads to lower ground state energies and more accurate dipole moments than other fully automated selection schemes such as those based solely on single-orbital entropy or the selection of spatial orbitals around the HOMO/LUMO gap.
Abstract:The quality of multi-scale modelling techniques in molecular electronic structure calculations, such as embedding and subspace methods, relies upon the chosen active space. The automation of active space selection is vital for ensuring the accuracy, reproducibility, and scalability in such calculations. In this work, we introduce Tensor Network Active Space Selection using the Entanglement Feature. Through the isolation of strongly correlated electrons, this method provides a scalable foundation for embedding methods in multi-scale modelling. By representing the purities of all possible orbital partitions as a Matrix Product State, our method isolates regions of strong electron correlation without requiring manual preselection of target atoms or the calculation of expensive high-order density matrices. The results demonstrate that this approach leads to lower ground state energies and more accurate dipole moments than other fully automated selection schemes such as those based solely on single-orbital entropy or the selection of spatial orbitals around the HOMO/LUMO gap.
Chemical Physics (physics.chem-ph); Quantum Physics (quant-ph)
arXiv:2608.03645 [physics.chem-ph]
(or arXiv:2608.03645v1 [physics.chem-ph] for this version)
https://doi.org/10.48550/arXiv.2608.03645 Focus to learn more arXiv-issued DOI via DataCite (pending registration)
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Full text under the publisher's open licence · 249 words
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