The Shape of Full Configuration Interaction to Come
arXiv:2010.12304 · doi:10.1021/acs.jpclett.0c03225
Abstract
We present a perspective on what the future holds for full configuration interaction (FCI) theory, with an emphasis on conceptual rather than technical details. Upon revisiting the early history of FCI, a number of its key contemporary approximations are compared on as equal a footing as possible, using a recent blind challenge on the benzene molecule as a testbed [Eriksen et al., J. Phys. Chem. Lett., 11, 8922 (2020)]. In the process, we review the scope of applications for which FCI continues to prove indispensable, and the required traits in terms of robustness, efficacy, and reliability its modern approximations must satisfy are discussed. We close by conveying a number of general observations on the merits offered by the state-of-the-art alongside some of the challenges still faced to this day. While the field has altogether seen immense progress over the years - the past decade, in particular - it remains clear that our community as a whole has a substantial way to go in enhancing the overall applicability of near-exact electronic structure theory for systems of general composition and increasing size.
arXiv comment17+42 pages. Invited perspective
References in corpus (124)
- A variational eigenvalue solver on a quantum processor
- The density-matrix renormalization group in the age of matrix product states
- Quantum Chemistry in the Age of Quantum Computing
- Simulated Quantum Computation of Molecular Energies
- Spin Liquid Ground State of the Kagome Heisenberg Model
- Recent developments in the PySCF program package
- Towards Quantum Chemistry on a Quantum Computer
- Quantum algorithms for quantum chemistry and quantum materials science
- Elucidating Reaction Mechanisms on Quantum Computers
- Stripe order in the underdoped region of the two-dimensional Hubbard model
- Ab Initio Quantum Chemistry using the Density Matrix Renormalization Group
- Heat-bath Configuration Interaction: An efficient selected CI algorithm inspired by heat-bath sampling
- The radical character of the acenes: A density matrix renormalization group study
- Solutions of the Two Dimensional Hubbard Model: Benchmarks and Results from a Wide Range of Numerical Algorithms
- Quantum Simulation of Electronic Structure with Linear Depth and Connectivity
- Semistochastic Heat-bath Configuration Interaction method: selected configuration interaction with semistochastic perturbation theory
- A Constrained Path Monte Carlo Method for Fermion Ground States
- A Mountaineering Strategy to Excited States: Highly-Accurate Reference Energies and Benchmarks
- Quantum Monte Carlo method using phase-free random walks with Slater determinants
- Orbital Optimization in the Density Matrix Renormalization Group, with applications to polyenes and β-carotene
- The Density Matrix Renormalization Group in Chemistry and Molecular Physics: Recent Developments and New Challenges
- A deterministic alternative to the full configuration interaction quantum Monte Carlo method
- Low-energy spectrum of iron-sulfur clusters directly from many-particle quantum mechanics
- The density matrix renormalization group for ab initio quantum chemistry
- Tensor product methods and entanglement optimization for ab initio quantum chemistry
- A spin-adapted Density Matrix Renormalization Group algorithm for quantum chemistry
- Controlling the accuracy of the density matrix renormalization group method: The Dynamical Block State Selection approach
- Low Depth Quantum Simulation of Electronic Structure
- An adaptive configuration interaction approach for strongly correlated electrons with tunable accuracy
- Towards the solution of the many-electron problem in real materials: equation of state of the hydrogen chain with state-of-the-art many-body methods
- A Mountaineering Strategy to Excited States: Highly-Accurate Energies and Benchmarks for Medium Size Molecules
- BAGEL: Brilliantly Advanced General Electronic-structure Library
- Cheap and near exact CASSCF with large active spaces
- Modern Approaches to Exact Diagonalization and Selected Configuration Interaction with the Adaptive Sampling CI Method
- Semistochastic Projector Monte Carlo Method
- Reference Energies for Double Excitations
- The Quest For Highly Accurate Excitation Energies: A Computational Perspective
- N-electron valence state perturbation theory based on a density matrix renormalization group reference function, with applications to the chromium dimer and poly-p-phenylene vinylene oligomer
- Pushing Configuration-Interaction to the Limit: Towards Massively Parallel MCSCF Calculations
- CASSCF with Extremely Large Active Spaces using the Adaptive Sampling Configuration Interaction Method
- Ab initio computations of molecular systems by the auxiliary-field quantum Monte Carlo method
- The Ground State Electronic Energy of Benzene
- A Full Configuration Interaction Perspective on the Homogeneous Electron Gas
- Excited states using semistochastic heat-bath configuration interaction
- Fast Semistochastic Heat-Bath Configuration Interaction
- Unbiased Reduced Density Matrices and Electronic Properties from Full Configuration Interaction Quantum Monte Carlo
- Excited States of Methylene, Polyenes, and Ozone from Heat-Bath Configuration Interaction
- Selected configuration interaction dressed by perturbation
- Multi-reference perturbation theory with Cholesky decomposition for the density matrix renormalization group
- Optimizing large parameter sets in variational quantum Monte Carlo
- New Approaches for ab initio Calculations of Molecules with Strong Electron Correlation
- Diffusion Monte Carlo with lattice regularization
- Machine Learning Configuration Interaction
- Efficient heat-bath sampling in Fock space
- The Many-Body Expansion Combined with Neural Networks
- Fixed-Node Diffusion Monte Carlo potential energy curve of the fluorine molecule F2 using selected configuration interaction trial wavefunctions
- The sign problem and population dynamics in the full configuration interaction quantum Monte Carlo method
- Coupled cluster method with single and double excitations tailored by matrix product state wave functions
- Auxiliary-field quantum Monte Carlo calculations of molecular systems with a Gaussian basis
- Semi-stochastic full configuration interaction quantum Monte Carlo: developments and application
- NECI: N-Electron Configuration Interaction with emphasis on state-of-the-art stochastic methods
- On Achieving High Accuracy in Quantum Chemical Calculations of 3d Transition Metal Systems: A Comparison of Auxiliary-Field Quantum Monte Carlo with Coupled Cluster, Density Functional Theory, and Experiment for Diatomic Molecules
- Four-Component Density Matrix Renormalization Group
- Direct comparison of many-body methods for realistic electronic Hamiltonians
- Virtual orbital many-body expansions: A possible route towards the full configuration interaction limit
- The convergence of the ab-initio many-body expansion for the cohesive energy of solid mercury
- Stochastic determination of effective Hamiltonian for the full configuration interaction solution of quasi-degenerate electronic states
- Unbiasing the initiator approximation in Full Configuration Interaction Quantum Monte Carlo
- The Jastrow antisymmetric geminal power in Hilbert space: theory, benchmarking, and application to a novel transition state
- Selected Configuration Interaction in a Basis of Cluster State Tensor Products
- Quantum simulation of electronic structure with a transcorrelated Hamiltonian: improved accuracy with a smaller footprint on the quantum computer
- Compact numerical solutions to the two-dimensional repulsive Hubbard model obtained via non-unitary similarity transformations
- Construction of CASCI-type wave functions for very large active spaces
- Similarity transformation of the electronic Schrödinger equation via Jastrow factorisation
- Bond breaking with auxiliary-field quantum Monte Carlo
- Efficient ab initio auxiliary-field quantum Monte Carlo calculations in Gaussian bases via low-rank tensor decomposition
- Generalized self-energy embedding theory
- Many-Body Expanded Full Configuration Interaction. I. Weakly Correlated Regime
- Singlet-Triplet Energy Gaps of Organic Biradicals and Polyacenes with Auxiliary-Field Quantum Monte Carlo
- Many-Body Expanded Full Configuration Interaction. II. Strongly Correlated Regime
- Density matrices in full configuration interaction quantum Monte Carlo: Excited states, transition dipole moments and parallel distribution
- Phaseless Auxiliary-Field Quantum Monte Carlo on Graphical Processing Units
- An explicitly correlated approach to basis set incompleteness in Full Configuration Interaction Quantum Monte Carlo
- Ab Initio Finite Temperature Auxiliary Field Quantum Monte Carlo
- Machine learning configuration interaction for ab initio potential energy curves
- Developments in Stochastic Coupled Cluster Theory: The initiator approximation and application to the Uniform Electron Gas
- Full Coupled-Cluster Reduction for Accurate Description of Strong Electron Correlation
- The performance of CIPSI on the ground state electronic energy of benzene
- Coordinate descent full configuration interaction
- Generalized Many-Body Expanded Full Configuration Interaction Theory
- Accurate many-body electronic structure near the basis set limit: application to the chromium dimer
- The Adaptive Shift Method in Full Configuration Interaction Quantum Monte Carlo: Development and Applications
- An efficient and accurate perturbative correction to initiator full configuration interaction quantum Monte Carlo
- The sign problem in full configuration interaction quantum Monte Carlo: Linear and sub-linear representation regimes for the exact wave function
- Reaching Full Correlation through Nonorthogonal Configuration Interaction: A Second-Order Perturbative Approach
- Transcorrelated Density Matrix Renormalization Group
- Linked Coupled Cluster Monte Carlo
- Lowering of the complexity of quantum chemistry methods by choice of representation
- Accurate Predictions of Electron Binding Energies of Dipole-Bound Anions via Quantum Monte Carlo Methods
- Preconditioning and perturbative estimators in full configuration interaction quantum Monte Carlo
- Hamiltonian symmetries in auxiliary-field quantum Monte Carlo calculations for electronic structure
- Multi-state effective Hamiltonian and size-consistency corrections in stochastic configuration interactions
- Cluster decomposition of full configuration interaction wave functions: a tool for chemical interpretation of systems with strong correlation
- Analytic nuclear forces and molecular properties from full configuration interaction quantum Monte Carlo
- The performance of phaseless auxiliary-field quantum Monte Carlo on the ground state electronic energy of benzene
- An efficient deterministic perturbation theory for selected configuration interaction methods
- Symmetry projected Jastrow mean field wavefunction in variational Monte Carlo
- Diagrammatic Coupled Cluster Monte Carlo
- A view on coupled cluster perturbation theory using a bivariational Lagrangian formulation
- An efficient stochastic algorithm for the perturbative density matrix renormalization group in large active spaces
- Multireference Stochastic Coupled Cluster
- Dealing with the exponential wall in electronic structure calculations
- Towards near-exact solutions of molecular electronic structure: Full coupled-cluster reduction with a second-order perturbative correction
- Ground and Excited State First-Order Properties in Many-Body Expanded Full Configuration Interaction Theory
- An accelerated linear method for optimizing non-linear wavefunctions in variational Monte Carlo
- Efficient representation of long-range interactions in tensor network algorithms
- Unveiling the Finite Temperature Physics of Hydrogen Chains via Auxiliary Field Quantum Monte Carlo
- Optimal Orbital Selection for Full Configuration Interaction (OptOrbFCI): Pursuing the Basis Set Limit under a Budget
- A hybrid approach to extending selected configuration interaction and full configuration interaction quantum Monte Carlo
- On the generalization of the exponential basis for tensor network representations of long-range interactions in two and three dimensions
- A simplified and improved approach to tensor network operators in two dimensions
- Theory and Implementation of a Novel Stochastic Approach to Coupled Cluster
- Accelerating Stochastic Quantum Chemistry
- Convergence of coupled cluster perturbation theory
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- QUESTDB: a database of highly-accurate excitation energies for the electronic structure community
- Quantum Computing for Molecular Biology
- Putting Density Functional Theory to the Test in Machine-Learning-Accelerated Materials Discovery
- Measuring Electron Correlation. The Impact of Symmetry and Orbital Transformations
- Accurate full configuration interaction correlation energy estimates for five- and six-membered rings
- Reference Energies for Valence Ionizations and Satellite Transitions
- How accurate are EOM-CC4 vertical excitation energies?
- Reference Energies for Cyclobutadiene: Automerization and Excited States
- Reference CC3 Excitation Energies for Organic Chromophores: Benchmarking TD-DFT, BSE/ and Wave Function Methods
- Ground- and Excited-State Dipole Moments and Oscillator Strengths of Full Configuration Interaction Quality
- Is Externally Corrected Coupled Cluster Always Better than the Underlying Truncated Configuration Interaction?
- Incremental Treatments of the Full Configuration Interaction Problem
- MBE-CASSCF Approach for the Accurate Treatment of Large Active Spaces
- Rationale for the Extrapolation Procedure in Selected Configuration Interaction
- Selected Configuration Interaction for Resonances
- A truncated Davidson method for the efficient "chemically accurate" calculation of full configuration interaction wavefunctions without any large matrix diagonalization
- Critical Limitations in Quantum-Selected Configuration Interaction Methods
- Variational Quantum Imaginary Time Evolution for Matrix Product State Ansatz with Tests on Transcorrelated Hamiltonians
- Efficient Quantum Simulation of Non-Adiabatic Molecular Dynamics with Precise Electronic Structure
- Symmetrization of Localized Molecular Orbitals
- Modal Backflow Neural Quantum States for Anharmonic Vibrational Calculations
- A Mountaineering Strategy to Excited States: Accurate Vertical Transition Energies and Benchmarks for Substituted Benzenes