Orbital entanglement in bond-formation processes
arXiv:1303.7207 · doi:10.1021/ct400247p
Abstract
The accurate calculation of the (differential) correlation energy is central to the quantum chemical description of bond-formation and bond-dissociation processes. In order to estimate the quality of single- and multi-reference approaches for this purpose, various diagnostic tools have been developed. In this work, we elaborate on our previous observation [J. Phys. Chem. Lett. 3, 3129 (2012)] that one- and two-orbital-based entanglement measures provide quantitative means for the assessment and classification of electron correlation effects among molecular orbitals. The dissociation behavior of some prototypical diatomic molecules features all types of correlation effects relevant for chemical bonding. We demonstrate that our entanglement analysis is convenient to dissect these electron correlation effects and to provide a conceptual understanding of bond-forming and bond-breaking processes from the point of view of quantum information theory.
42 pages, 10 figures, 11 tables, incl. supp. inf
References in corpus (3)
Cited by in corpus (67)
- The Density Matrix Renormalization Group in Chemistry and Molecular Physics: Recent Developments and New Challenges
- The density matrix renormalization group for ab initio quantum chemistry
- Tensor product methods and entanglement optimization for ab initio quantum chemistry
- An Efficient Matrix Product Operator Representation of the Quantum-Chemical Hamiltonian
- CheMPS2: a free open-source spin-adapted implementation of the density matrix renormalization group for ab initio quantum chemistry
- Efficient description of strongly correlated electrons with mean-field cost
- Block2: a comprehensive open source framework to develop and apply state-of-the-art DMRG algorithms in electronic structure and beyond
- Orbital entanglement in quantum chemistry
- The Delicate Balance of Static and Dynamic Electron Correlation
- Coupled cluster method with single and double excitations tailored by matrix product state wave functions
- Four-Component Density Matrix Renormalization Group
- Automated Identification of Relevant Frontier Orbitals for Chemical Compounds and Processes
- Concept of orbital entanglement and correlation in quantum chemistry
- Measuring Multi-Configurational Character by Orbital Entanglement
- Advanced density matrix renormalization group method for nuclear structure calculations
- Towards a formal definition of static and dynamic electronic correlations
- Numerical and Theoretical Aspects of the DMRG-TCC Method Exemplified by the Nitrogen Dimer
- Reduced Density Matrix Sampling: Self-consistent Embedding and Multiscale Electronic Structure on Current Generation Quantum Computers
- Investigation of metal-insulator like transition through the ab initio density matrix renormalization group approach
- The correlation theory of the chemical bond
- Analysis of two-orbital correlations in wavefunctions restricted to electron-pair states
- Quantum Entanglement in Carbon-Carbon, Carbon-Phosphorus and Silicon-Silicon Bonds
- Unravelling the quantum-entanglement effect of noble gas coordination on the spin ground state of CUO
- Correlation paradox of the dissociation limit: A quantum information perspective
- Electronic correlations and magnetic interactions in infinite-layer NdNiO
- Self-Consistent Embedding of Density-Matrix Renormalization Group Wavefunctions in a Density Functional Environment
- A quantum informational approach for dissecting chemical reactions
- Entanglement patterns and generalized correlation functions in quantum many body systems
- Orbital entanglement and correlation from pCCD-tailored Coupled Cluster wave functions
- Measuring Electron Correlation. The Impact of Symmetry and Orbital Transformations
- Stretching and breaking of chemical bonds, correlation of electrons, and radical properties of covalent species
- Entanglement structure of the Hubbard model in momentum space
- On the Multi-Reference Nature of Plutonium Oxides: PuO, PuO, PuO and PuO(OH)
- Spectral properties of reduced fermionic density operators and parity superselection rule
- Efficient reconstruction of CASCI-type wave functions for a DMRG state using quantum information theory and genetic algorithm
- Quantum correlations in molecules: from quantum resourcing to chemical bonding
- Analysis of Electron Correlation Effects in Strongly Correlated Systems ( and ) by applying DMRG and Quantum Information Theory
- Quantum Proton Effects from Density Matrix Renormalization Group Calculations
- Molecular Quantum Circuit Design: A Graph-Based Approach
- The relationship between structure and excited-state properties in polyanilines from geminal-based methods
- Tensor Product Approximation (DMRG) and Coupled Cluster method in Quantum Chemistry
- Dissecting the Bond Formation Process of -Metal-Ethene Complexes with Multireference Approaches
- Quasilocal entanglement across the Mott-Hubbard transition
- Quantum information-based analysis of electron-deficient bonds
- Exploring Parameter Redundancy in the Unitary Coupled-Cluster Ansatze for Hybrid Variational Quantum Computing
- Static Embedding with Pair Coupled Cluster Doubles Based Methods
- Two dimensional quantum lattice models via mode optimized hybrid CPU-GPU density matrix renormalization group method
- New Strategies in Modeling Electronic Structures and Properties with Applications to Actinides
- Quantum Information reveals that orbital-wise correlation is essentially classical in Natural Orbitals
- Interorbital interaction in the one-dimensional periodic Anderson model: A density-matrix renormalization-group study
- Classical and Quantum Orbital Correlations in the Molecular Electronic States
- Delving into the Catalytic Mechanism of Molybdenum Cofactors: A Novel Coupled Cluster Study
- Competition between Hund's coupling and Kondo effect in a one-dimensional extended periodic Anderson model
- Heron: Visualizing and Controlling Chemical Reaction Explorations and Networks
- On the calculation of complete dissociation curves of closed-shell pseudo-onedimensional systems through the multireference method of increments
- Orbital Entanglement and The Double -Shell Effect in Binary Transition Metal Molecules
- Quantum Chemical and Trajectory Surface Hopping Molecular Dynamics Study of Iodine-based BODIPY Photosensitizer
- Disentangling the Physics of the Attractive Hubbard Model via the Accessible and Symmetry-Resolved Entanglement Entropies
- Spin-free orbital entropy, mutual information, and correlation analysis
- A Quantum Information Perspective on Many-Body Dispersive Forces
- Measuring Correlation and Entanglement between Molecular Orbitals on a Trapped-Ion Quantum Computer
- Genuine multipartite entanglement from many-electron systems
- Chemical bonding concepts emerge naturally from maximally entangled atomic orbitals
- Quantum information theory on sparse wavefunctions and applications for Quantum Chemistry
- Spins extracted from fermionic states and their entanglement properties
- N-Mode Quantized Anharmonic Vibronic Hamiltonians for Matrix Product State Dynamics
- Using near-flat-band electrons for read-out of molecular spin qubit entangled states