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Journal of Chemical Theory and Computation

Quantum Entanglement and Chemical Reactivity

Moyocoyani Molina‐Espíritu, Rodolfo O. Esquivel, Sheila López‐Rosa, J. S. Dehesa

Published Oct 8, 2015• 23 citations
Publisher

Abstract

The water molecule and a hydrogenic abstraction reaction are used to explore in detail some quantum entanglement features of chemical interest. We illustrate that the energetic and quantum-information approaches are necessary for a full understanding of both the geometry of the quantum probability density of molecular systems and the evolution of a chemical reaction. The energy and entanglement hypersurfaces and contour maps of these two models show different phenomena. The energy ones reveal the well-known stable geometry of the models, whereas the entanglement ones grasp the chemical capability to transform from one state system to a new one. In the water molecule the chemical reactivity is witnessed through quantum entanglement as a local minimum indicating the bond cleavage in the dissociation process of the molecule. Finally, quantum entanglement is also useful as a chemical reactivity descriptor by detecting the transition state along the intrinsic reaction path in the hypersurface of the hydrogenic abstraction reaction corresponding to a maximally entangled state.

DOI
10.1021/acs.jctc.5b00390

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Entanglement is a quantum mechanical correlation that effects the chemical reactivity of a molecule. In this study, we vary the bond length and bond angle of the water molecule in order to see how changes in its shape affect entanglement and reactivity. Entanglement is measured with three quantifiers of entanglement that are Von Neumann Entropy, Negativity and Concurrence. The results indicate that at compressed geometry, entanglement is higher due to high electron sharing and a reactive state. At near equilibrium, entanglement is moderate and the structure is stable. When the bond is stretched, entanglement is least because of electron localization and low reactivity. Each metric highlights a unique aspect of electron behavior. Entropy is the measure of total correlation, negativity is the early bond and concurrence is the pair electrons relation. It has been found that quantum entanglement can effectively describe chemical bonding and predict molecular reactivity beyond traditional energy-based approaches.
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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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