Chemical bonding concepts emerge naturally from maximally entangled atomic orbitals

Chemical bonding is a nonlocal phenomenon that binds atoms into molecules. Its ubiquitous presence in chemistry, however, stands in stark contrast to its ambiguous definition and the lack of a universal perspective for its understanding. In this work, we rationalize and characterize chemical bonding through the lens of an equally nonlocal concept from quantum information, the orbital entanglement. We introduce the maximally entangled atomic orbitals (MEAOs) whose entanglement pattern is shown to recover both Lewis (two-center) and beyond-Lewis (multicenter) structures, with multipartite entanglement serving as a comprehensive index of bond strength. Our unifying framework for bonding analyses is effective not only for equilibrium geometries but also for transition states in chemical reactions and complex phenomena such as aromaticity. It also has the potential to elevate the Hilbert space atomic partitioning to match the prevalent real-space partitioning in the theory of atoms in molecules. Accordingly, our work provides a new framework for understanding fuzzy chemical concepts using rigorous, quantitative descriptors from quantum information.

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Publication Details

Journal
Nature Communications
Published
2026-05-27
DOI
https://doi.org/10.1038/s41467-026-73527-w
Primary Topic
Machine Learning in Materials Science
Type
article
Field-Weighted Citation Impact
0.00

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article

Chemical bonding concepts emerge naturally from maximally entangled atomic orbitals

Lexin Ding, Eduard Matito, Christian Schilling
Nature Communications
Machine Learning in Materials Science
article

Chemical bonding concepts emerge naturally from maximally entangled atomic orbitals

Lexin Ding, Eduard Matito, Christian Schilling
article en

Abstract

Chemical bonding is a nonlocal phenomenon that binds atoms into molecules. Its ubiquitous presence in chemistry, however, stands in stark contrast to its ambiguous definition and the lack of a universal perspective for its understanding. In this work, we rationalize and characterize chemical bonding through the lens of an equally nonlocal concept from quantum information, the orbital entanglement. We introduce the maximally entangled atomic orbitals (MEAOs) whose entanglement pattern is shown to recover both Lewis (two-center) and beyond-Lewis (multicenter) structures, with multipartite entanglement serving as a comprehensive index of bond strength. Our unifying framework for bonding analyses is effective not only for equilibrium geometries but also for transition states in chemical reactions and complex phenomena such as aromaticity. It also has the potential to elevate the Hilbert space atomic partitioning to match the prevalent real-space partitioning in the theory of atoms in molecules. Accordingly, our work provides a new framework for understanding fuzzy chemical concepts using rigorous, quantitative descriptors from quantum information.

Nature CommunicationsVol. 17(1)
Ikerbasque (ES), Center for Theoretical Physics (PL), Munich Center for Quantum Science and Technology (DE), Donostia International Physics Center (ES)
Deutsche Forschungsgemeinschaft
Openalex Percentile: Top 12%
Machine Learning in Materials Science
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