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Two Algorithms for Excited-State Quantum Solvers: Theory and Application to EOM-UCCSD

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Outgoing claims: the papers this work cites, builds on, or argues with.

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An Introduction to Coupled Cluster Theory for Computational Chemists
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Second Quantization
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New algorithms for iterative matrix‐free eigensolvers in quantum chemistry
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Gram‐Schmidt orthogonalization: 100 years and more
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New perspectives on unitary coupled‐cluster theory
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Correlation problems in atomic and molecular systems III. Rederivation of the coupled‐pair many‐electron theory using the traditional quantum chemical methodst
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Expansion and completeness theorems for operator manifolds
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A linear response, coupled-cluster theory for excitation energy
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The algebraic diagrammatic construction scheme for the polarization propagator for the calculation of excited states
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Coupled‐cluster theory and its equation‐of‐motion extensions
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Excited state coupled cluster methods
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The Equations of Motion Method: An Approach to the Dynamical Properties of Atoms and Molecules
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A completeness theorem for operator spaces
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The equation-of-motion coupled-cluster method. Applications to open- and closed-shell reference states
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The iterative calculation of a few of the lowest eigenvalues and corresponding eigenvectors of large real-symmetric matrices
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An iterative method for calculating several of the extreme eigensolutions of large real non-symmetric matrices
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A generalization of the Davidson's method to large nonsymmetric eigenvalue problems
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Methods of Molecular Quantum Mechanics
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An extension of the coupled cluster formalism to excited states (I)
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Multicomponent Unitary Coupled Cluster and Equation-of-Motion for Quantum Computation
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Quadratic Unitary Coupled-Cluster Singles and Doubles Scheme: Efficient Implementation, Benchmark Study, and Formulation of an Extended Version
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Orthogonal State Reduction Variational Eigensolver for the Excited-State Calculations on Quantum Computers
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Constrained Variational Quantum Eigensolver: Quantum Computer Search Engine in the Fock Space
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Equation-of-Motion Theory to Calculate Accurate Band Structures with a Quantum Computer
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Hardware-efficient variational quantum eigensolver for small molecules and quantum magnets
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Towards quantum chemistry on a quantum computer
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A variational eigenvalue solver on a photonic quantum processor
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Barren plateaus in quantum neural network training landscapes
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An adaptive variational algorithm for exact molecular simulations on a quantum computer
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Efficient symmetry-preserving state preparation circuits for the variational quantum eigensolver algorithm
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Ground-state energy estimation of the water molecule on a trapped-ion quantum computer
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Quantum supremacy using a programmable superconducting processor
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SciPy 1.0: fundamental algorithms for scientific computing in Python
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From transistor to trapped-ion computers for quantum chemistry
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On the “killer condition’' in the equation-of-motion method: ionization potentials from multi-reference wave functions
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Quantum computing and quantum information storage
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Quantum self-consistent equation-of-motion method for computing molecular excitation energies, ionization potentials, and electron affinities on a quantum computer
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Benchmark variational coupled cluster doubles results
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Equation-of-motion spin-flip coupled-cluster model with single and double substitutions: Theory and application to cyclobutadiene
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On the Correlation Problem in Atomic and Molecular Systems. Calculation of Wavefunction Components in Ursell-Type Expansion Using Quantum-Field Theoretical Methods
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Performance of multireference and equation-of-motion coupled-cluster methods for potential energy surfaces of low-lying excited states: Symmetric and asymmetric dissociation of water
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The equation of motion coupled-cluster method. A systematic biorthogonal approach to molecular excitation energies, transition probabilities, and excited state properties
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Unitary coupled-cluster based self-consistent polarization propagator theory: A third-order formulation and pilot applications
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Software for the frontiers of quantum chemistry: An overview of developments in the Q-Chem 5 package
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Unitary coupled-cluster based self-consistent polarization propagator theory: A quadratic unitary coupled-cluster singles and doubles scheme
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The coupled-cluster revolution
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Simulation of electronic structure Hamiltonians using quantum computers
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The Equations of Motion Method: An Approach to the Dynamical Properties of Atoms and Molecules
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Faster quantum chemistry simulation on fault-tolerant quantum computers
inferredcites →https://doi.org/10.1088/1367-2630/18/2/023023openalex-snapshot
The theory of variational hybrid quantum-classical algorithms
inferredcites →https://doi.org/10.1088/1367-2630/ab867bopenalex-snapshot
A non-orthogonal variational quantum eigensolver
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Strategies for quantum computing molecular energies using the unitary coupled cluster ansatz
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OpenFermion: the electronic structure package for quantum computers
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On the Product of Semi-Groups of Operators
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Some aspects of self-consistent propagator theories
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Consistent propagator theory based on the extended coupled-cluster parametrization of the ground state
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Quantum algorithms for fermionic simulations
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swap test and Hong-Ou-Mandel effect are equivalent
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Variational quantum algorithms for discovering Hamiltonian spectra
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Accelerated Variational Quantum Eigensolver
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Quantum Computation of Electronic Transitions Using a Variational Quantum Eigensolver
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Simulation of Many-Body Fermi Systems on a Universal Quantum Computer
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Quantum Algorithm Providing Exponential Speed Increase for Finding Eigenvalues and Eigenvectors
inferredcites →https://doi.org/10.1103/physrevlett.87.167902openalex-snapshot
Quantum Fingerprinting
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Subspace-search variational quantum eigensolver for excited states
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Quantum equation of motion for computing molecular excitation energies on a noisy quantum processor
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Scalable Quantum Simulation of Molecular Energies
inferredcites →https://doi.org/10.1103/physrevx.8.011021openalex-snapshot
Computation of Molecular Spectra on a Quantum Processor with an Error-Resilient Algorithm
inferredcites →https://doi.org/10.1103/revmodphys.40.153openalex-snapshot
Equations-of-Motion Method and the Extended Shell Model
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Simulated Quantum Computation of Molecular Energies
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Hartree-Fock on a superconducting qubit quantum computer
inferredcites →https://doi.org/10.1137/s0036144598347011openalex-snapshot
Polynomial-Time Algorithms for Prime Factorization and Discrete Logarithms on a Quantum Computer
inferredcites →https://doi.org/10.1146/annurev.physchem.59.032607.093602openalex-snapshot
Equation-of-Motion Coupled-Cluster Methods for Open-Shell and Electronically Excited Species: The Hitchhiker's Guide to Fock Space
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General Decomposition Theory of Ordered Exponentials.
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Quantum Computing in the NISQ era and beyond
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Variational Quantum Computation of Excited States
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Quantum equation of motion for computing molecular excitation energies on a noisy quantum processor
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Quantum Digital Signatures
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Qiskit: An Open-source Framework for Quantum Computing

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Which Options Exist for NISQ-Friendly Linear Response Formulations?
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Quantum Equation of Motion with Orbital Optimization for Computing Molecular Properties in Near-Term Quantum Computing
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Subspace Methods for the Simulation of Molecular Response Properties on a Quantum Computer
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Nonadiabatic Molecular Dynamics with Fermionic Subspace-Expansion Algorithms on Quantum Computers
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Reduced Density Matrix Formulation of Quantum Linear Response
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Characterizing Conical Intersections of Nucleobases on Quantum Computers
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Multireference Equation-of-Motion Driven Similarity Renormalization Group: Theoretical Foundations and Applications to Ionized States
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Reduced Density Matrix and Cumulant Approximations of Quantum Linear Response
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Unitary Coupled-Cluster Theory for the Treatment of Molecules in Strong Magnetic Fields
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Molecular Resonance Identification in Complex Absorbing Potentials via Integrated Quantum Computing and High-Throughput Computing
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Generalized Eigenvalue Problem in Subspace-Based Excited-State Methods for Quantum Computers
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Connection between GW and Extended Coupled Cluster
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Physical Chemistry of Quantum Information Science
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Self-consistent Quantum Linear Response with a Polarizable Embedding Environment
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Spin-Flip Unitary Coupled Cluster Method: Toward Accurate Description of Strong Electron Correlation on Quantum Computers
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Understanding and mitigating noise in molecular quantum linear response for spectroscopic properties on quantum computers
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Divergences in classical and quantum linear response and equation of motion formulations
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Equation-of-motion internally contracted multireference unitary coupled-cluster theory
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Redundant parameter dependencies in conventional and quantum linear response and equation of motion theory for unitary parameterized wave functions
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Electronic excited states from a variance-based contracted quantum eigensolver
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Concurrence distribution in excited states of the one-dimensional spin-1/2 transverse-field XY model: Two different regions
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Quantum Computing for Photosensitizer Design in Photodynamic Therapy
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Prediction of Molecular Structures and Properties by Using Quantum Technology
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