Ab Initio Quantum Chemistry using the Density Matrix Renormalization Group
arXiv:cond-mat/9808118 · doi:10.1063/1.478295
Abstract
In this paper we describe how the density matrix renormalization group (DMRG) can be used for quantum chemical calculations for molecules, as an alternative to traditional methods, such as configuration interaction or coupled cluster approaches. As a demonstration of the potential of this approach, we present results for the HO molecule in a standard gaussian basis. Results for the total energy of the system compare favorably with the best traditional quantum chemical methods.
Four pages, three encapsulated figures
References in corpus (1)
Cited by in corpus (199)
- The density-matrix renormalization group
- Quantum Chemistry in the Age of Quantum Computing
- The Variational Quantum Eigensolver: a review of methods and best practices
- Matrix Product States and Projected Entangled Pair States: Concepts, Symmetries, and Theorems
- 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
- Multilayer multi-configuration time-dependent Hartree method: implementation and applications to a Henon-Heiles Hamiltonian and to pyrazine
- Orbital Optimization in the Density Matrix Renormalization Group, with applications to polyenes and β-carotene
- New Trends in Density Matrix Renormalization
- 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 practical guide to density matrix embedding theory in 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
- Simulating Strongly Correlated Quantum Systems with Tree Tensor Networks
- Is there evidence for exponential quantum advantage in quantum chemistry?
- Automated construction of molecular active spaces from atomic valence orbitals
- Fermionic neural-network states for ab-initio electronic structure
- 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
- Solving Many-Electron Schrödinger Equation Using Deep Neural Networks
- Quantum information analysis of electronic states at different molecular structures
- Cheap and near exact CASSCF with large active spaces
- Multireference Correlation in Long Molecules with the Quadratic Scaling Density Matrix Renormalization Group
- Modern Approaches to Exact Diagonalization and Selected Configuration Interaction with the Adaptive Sampling CI Method
- 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
- 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
- Renormalization of tensor-network states
- Tensor factorizations of local second-order Møller Plesset theory
- Emerging quantum computing algorithms for quantum chemistry
- Lecture Notes of Tensor Network Contractions
- Quantum data compression, quantum information generation, and the density-matrix renormalization group method
- Ab initio computations of molecular systems by the auxiliary-field quantum Monte Carlo method
- Efficient Tree Tensor Network States (TTNS) for Quantum Chemistry: Generalizations of the Density Matrix Renormalization Group Algorithm
- The Ground State Electronic Energy of Benzene
- Excited states using semistochastic heat-bath configuration interaction
- Fast Semistochastic Heat-Bath Configuration Interaction
- Gauging quantum states: from global to local symmetries in many-body systems
- Excited States of Methylene, Polyenes, and Ozone from Heat-Bath Configuration Interaction
- A numerical canonical transformation approach to quantum many body problems
- Multi-reference perturbation theory with Cholesky decomposition for the density matrix renormalization group
- The electronic complexity of the ground-state of the FeMo cofactor of nitrogenase as relevant to quantum simulations
- Block2: a comprehensive open source framework to develop and apply state-of-the-art DMRG algorithms in electronic structure and beyond
- Pure density functional for strong correlations and the thermodynamic limit from machine learning
- Density Matrix Renormalization Group with Efficient Dynamical Electron Correlation Through Range Separation
- A flexible multi-reference perturbation theory by minimizing the Hylleraas functional with matrix product states
- Electronic landscape of the P-cluster of nitrogenase as revealed through many-electron quantum wavefunctions
- Coupled cluster method with single and double excitations tailored by matrix product state wave functions
- A Jastrow-type decomposition in quantum chemistry for low-depth quantum circuits
- Auxiliary-field quantum Monte Carlo calculations of molecular systems with a Gaussian basis
- DMRG-SCF study of the singlet, triplet, and quintet states of oxo-Mn(Salen)
- Towards ab initio self-energy embedding theory in quantum chemistry
- Low communication high performance ab initio density matrix renormalization group algorithms
- Ground-state properties of the hydrogen chain: insulator-to-metal transition, dimerization, and magnetic phases
- Chemistry Beyond the Scale of Exact Diagonalization on a Quantum-Centric Supercomputer
- Developments in the Tensor Network -- from Statistical Mechanics to Quantum Entanglement
- Fermionic orbital optimisation in tensor network states
- One-dimensional Continuum Electronic Structure with the Density Matrix Renormalization Group and Its Implications For Density Functional Theory
- Tensor operators: constructions and applications for long-range interaction systems
- Density matrix renormalization group approach for many-body open quantum systems
- Reference electronic structure calculations in one dimension
- Time-step targeting time-dependent and dynamical density matrix renormalization group algorithms with ab initio Hamiltonians
- DMRG-CASPT2 study of the longitudinal static second hyperpolarizability of all-trans polyenes
- Multireference linearized Coupled Cluster theory for strongly correlated systems using Matrix Product States
- Concept of orbital entanglement and correlation in quantum chemistry
- Targeted Excited State Algorithms
- Dynamical Mean-Field Theory for Quantum Chemistry
- Prospects of Quantum Computing for Molecular Sciences
- Systematic electronic structure in the cuprate parent state from quantum many-body simulations
- Active space decomposition with multiple sites: Density matrix renormalization group algorithm
- A time-dependent formulation of multi-reference perturbation theory
- The Shape of Full Configuration Interaction to Come
- Time-dependent N-electron valence perturbation theory with matrix product state reference wavefunctions for large active spaces and basis sets: Applications to the chromium dimer and all-trans polyenes
- T3NS: three-legged tree tensor network states
- Bond breaking with auxiliary-field quantum Monte Carlo
- Advanced density matrix renormalization group method for nuclear structure calculations
- Many-Body Expanded Full Configuration Interaction. I. Weakly Correlated Regime
- Linear Response Theory for the Density Matrix Renormalization Group: Efficient Algorithms for Strongly Correlated Excited States
- Many-Body Expanded Full Configuration Interaction. II. Strongly Correlated Regime
- Longitudinal static optical properties of hydrogen chains: finite field extrapolations of matrix product state calculations
- Numerical and Theoretical Aspects of the DMRG-TCC Method Exemplified by the Nitrogen Dimer
- Analytic response theory for the density matrix renormalization group
- Investigation of metal-insulator like transition through the ab initio density matrix renormalization group approach
- Rigorous ab initio quantum embedding for quantum chemistry using Green's function theory: screened interaction, non-local self-energy relaxation, orbital basis, and chemical accuracy
- The correlation theory of the chemical bond
- The Density Matrix Renormalization Group for finite Fermi systems
- Analysis of two-orbital correlations in wavefunctions restricted to electron-pair states
- The Thouless theorem for matrix product states and subsequent post-density matrix renormalization group methods
- Initial state preparation for quantum chemistry on quantum computers
- Generalized Many-Body Expanded Full Configuration Interaction Theory
- Coordinate descent full configuration interaction
- Assessment of various natural orbitals as the basis of large active space density matrix renormalization group calculations
- Stochastic multi-reference perturbation theory with application to linearized coupled cluster method
- Optimizing Hartree-Fock orbitals by the density-matrix renormalization group
- Matrix product states with large sites
- Investigation of Quantum Phase Transitions using Multi-target DMRG Methods
- Matrix product state formulation of the multiconfiguration time-dependent Hartree theory
- Sliced Basis Density Matrix Renormalization Group for Electronic Structure
- Density matrix renormalization group approach to two-fluid open many-fermion systems
- Externally-Contracted Multi-Reference Configuration Interaction Method Using a DMRG Reference Wave Function
- Orbital entanglement and correlation from pCCD-tailored Coupled Cluster wave functions
- A tensor network view of multilayer multiconfiguration time-dependent Hartree methods
- Density Matrix Renormalization Group with Tensor Processing Units
- Analytical Gradient Theory for Strongly Contracted (SC-) and Partially Contracted (PC-) N-Electron Valence State Perturbation Theory (NEVPT2)
- Energy-weighted density matrix embedding of open correlated chemical fragments
- Entanglement structure of the Hubbard model in momentum space
- Transcorrelated Density Matrix Renormalization Group
- Second-Order Multi-Reference Algebraic Diagrammatic Construction Theory for Photoelectron Spectra of Strongly Correlated Systems
- On the Multi-Reference Nature of Plutonium Oxides: PuO, PuO, PuO and PuO(OH)
- Density Matrix Renormalization Group and the Nuclear Shell Model
- Gauging tensor networks with belief propagation
- Ultrafast ab-initio Quantum Chemistry Using Matrix Product States
- Density Matrix Renormalization Group study of Cr and Ni
- Analysis of The Tailored Coupled-Cluster Method in Quantum Chemistry
- A density matrix renormalisation group algorithm for quantum lattice systems with a large number of states per site
- Local variational quantum compilation of a large-scale Hamiltonian dynamics
- Calculations of Potential Energy Surfaces Using Monte Carlo Configuration Interaction
- Symmetric carbon tetramers forming chemically stable spin qubits in hBN
- Multi-sliced Gausslet Basis Sets for Electronic Structure
- Exact NMR simulation of protein-size spin systems using tensor train formalism
- Hybrid grid/basis set discretizations of the Schrödinger equation
- A hybrid approach to excited-state-specific variational Monte Carlo and doubly excited states
- Low-energy effective Hamiltonians for correlated electron systems beyond density functional theory
- Projector quantum Monte Carlo with matrix product states
- Quantum Information-Assisted Complete Active Space Optimization (QICAS)
- Multireference configuration interaction and perturbation theory without reduced density matrices
- Bosons Confined in Optical Lattices: the Numerical Renormalization Group revisited
- Approximate analytical gradients and nonadiabatic couplings for the state-average density matrix renormalization group self-consistent field method
- Is Externally Corrected Coupled Cluster Always Better than the Underlying Truncated Configuration Interaction?
- Accuracy of ghost-rotationally-invariant slave-boson and dynamical mean field theory as a function of the impurity-model bath size
- Analysis of Electron Correlation Effects in Strongly Correlated Systems ( and ) by applying DMRG and Quantum Information Theory
- Alternation of Singlet and Triplet States in Carbon-Based Chain Molecules and Its Astrochemical Implications. Results of an Extensive Theoretical Study
- Density-Matrix Renormalization Group Algorithm with Multi-Level Active Space
- Ground states of linear rotor chains via the density matrix renormalization group
- Interacting models for twisted bilayer graphene: a quantum chemistry approach
- Towards DMRG-tailored coupled cluster method in the 4c-relativistic domain
- Band structures in coupled-cluster singles-and-doubles Green's function (GFCCSD)
- A configuration interaction correction on top of pair coupled cluster doubles
- Compact wavefunctions from compressed imaginary time evolution
- An efficient stochastic algorithm for the perturbative density matrix renormalization group in large active spaces
- Near-linear Scaling in DMRG-based Tailored Coupled Clusters: An Implementation of DLPNO-TCCSD and DLPNO-TCCSD(T)
- Ground and Excited State First-Order Properties in Many-Body Expanded Full Configuration Interaction Theory
- Towards the Efficient Local Tailored Coupled Cluster Approximation and the Peculiar Case of Oxo-Mn(Salen)
- Density matrix renormalization group for bosonic quantum Hall effect
- Uniqueness of density-to-potential mapping for fermionic lattice systems
- Entanglement production by independent quantum channels
- A correlator product state study of molecular magnetism in the giant Keplerate Mo72Fe30
- Expressibility of comb tensor network states (CTNS) for the P-cluster and the FeMo-cofactor of nitrogenase
- Cluster many-body expansion: a many-body expansion of the electron correlation energy about a cluster mean-field reference
- Efficient representation of long-range interactions in tensor network algorithms
- The Three-Legged Tree Tensor Networks with SU(2)- and molecular point group symmetry
- Neural network backflow for ab-initio quantum chemistry
- Benchmark Phaseless Auxiliary-Field Quantum Monte Carlo Method for Small Molecules
- Role of the pair potential for the saturation of generalized Pauli constraints
- Open-Shell Coupled-Cluster Valence-Bond Theory Augmented with an Independent Amplitude Approximation for Three-Pair Correlations: Application to a Model Oxygen-Evolving Complex and Single Molecular Magnet
- Towards large-scale restricted active space calculations inspired by the Schmidt decomposition
- Minimal matrix product states and generalizations of mean-field and geminal wavefunctions
- Hybrid Auxiliary Field Quantum Monte Carlo for Molecular Systems
- Elucidating cation--cation interactions in neptunyl dications using multireference ab initio theory
- Stable bipolarons in open quantum systems
- Method For Making 2-Electron Response Reduced Density Matrices Approximately N-representable
- Mean-Field Density Matrix Decompositions
- Effective dimension reduction with mode transformations: Simulating two-dimensional fermionic condensed matter systems
- Functional Tensor Network Solving Many-body Schrödinger Equation
- On the generalization of the exponential basis for tensor network representations of long-range interactions in two and three dimensions
- Quasiparticle energy spectra of isolated atoms from coupled-cluster singles and doubles (CCSD): Comparison with exact CI calculations
- Two dimensional quantum lattice models via mode optimized hybrid CPU-GPU density matrix renormalization group method
- The seniority quantum number in Tensor Network States
- A transformed framework for dynamic correlation in multireference problems
- Chemical accuracy from small, system-adapted basis functions
- Dynamical simulations of carotenoid photoexcited states using density matrix renormalization group techniques
- Hilbert space multireference coupled clusters tailored by matrix product states
- Matrix Product State representation for Slater Determinants and Configuration Interaction States
- Classical and Quantum Orbital Correlations in the Molecular Electronic States
- Hilbert space renormalization for the many-electron problem
- A truncated Davidson method for the efficient "chemically accurate" calculation of full configuration interaction wavefunctions without any large matrix diagonalization
- Inversion symmetry of singular values and a new orbital ordering method in tensor train approximations for quantum chemistry
- Efficient simulation of inhomogeneously correlated systems using block interaction product states
- Multi-body wave function of ground and low-lying excited states using unornamented deep neural networks
- QCMaquis 4.0: Multi-Purpose Electronic, Vibrational, and Vibronic Structure and Dynamics Calculations with the Density Matrix Renormalization Group
- Time-reversal symmetry adaptation in relativistic density matrix renormalization group algorithm
- Three Lagrangians for the complete-active space coupled-cluster method
- Efficient and systematic calculation of arbitrary observables for the matrix product state excitation ansatz
- Renormalized density matrix downfolding: A rigorous framework in learning emergent models from ab initio many-body calculations
- Seniority-zero Linear Canonical Transformation Theory
- DMRG-tailored coupled cluster method in the 4c-relativistic domain: General implementation and application to the NUHFI and NUF molecules
- Chemical master equation parameter exploration using DMRG
- Two-electron wavefunctions are matrix product states with bond dimension Three
- Electronic wavefunction with maximally entangled MPS representation
- The Software Landscape for the Density Matrix Renormalization Group
- Exact matrix product state representation and convergence of a fully correlated electronic wavefunction in the infinite basis limit
- Wavefunction optimization at the complete basis set limit with Multiwavelets and DMRG
- A quantum eigenvalue solver based on tensor networks
- Near-Exact Nuclear Gradients of Complete Active Space Self-Consistent Field Wave Functions
- Addressing Strong Correlation by Approximate Coupled-Pair Methods with Active-Space and Full Treatments of Three-Body Clusters
- Diffusion Monte Carlo using domains in configuration space