Quantum Computation of Electronic Transitions using a Variational Quantum Eigensolver
arXiv:1901.01234 · doi:10.1103/PhysRevLett.122.230401
Abstract
We develop an extension of the variational quantum eigensolver (VQE) algorithm - multistate, contracted VQE (MC-VQE) - that allows for the efficient computation of the transition energies between the ground state and several low-lying excited states of a molecule, as well as the oscillator strengths associated with these transitions. We numerically simulate MC-VQE by computing the absorption spectrum of an ab initio exciton model of an 18-chromophore light-harvesting complex from purple photosynthetic bacteria.
Updated with addl references and SI case study of H-aggregate BChl-a stack
References in corpus (31)
- A variational eigenvalue solver on a quantum processor
- Hardware-efficient Variational Quantum Eigensolver for Small Molecules and Quantum Magnets
- Barren plateaus in quantum neural network training landscapes
- The theory of variational hybrid quantum-classical algorithms
- Simulated Quantum Computation of Molecular Energies
- Fermionic quantum computation
- Dephasing assisted transport: Quantum networks and biomolecules
- A quantum algorithm providing exponential speed increase for finding eigenvalues and eigenvectors
- Scalable Quantum Simulation of Molecular Energies
- Towards Quantum Chemistry on a Quantum Computer
- Simulation of Many-Body Fermi Systems on a Universal Quantum Computer
- Highly efficient energy excitation transfer in light-harvesting complexes: The fundamental role of noise-assisted transport
- The Bravyi-Kitaev transformation for quantum computation of electronic structure
- Hybrid Quantum-Classical Hierarchy for Mitigation of Decoherence and Determination of Excited States
- Heat-bath Configuration Interaction: An efficient selected CI algorithm inspired by heat-bath sampling
- Robust determination of molecular spectra on a quantum processor
- Generalized Unitary Coupled Cluster Wavefunctions for Quantum Computation
- Optimal Quantum Circuits for General Two-Qubit Gates
- Quantum Simulation of Electronic Structure with Linear Depth and Connectivity
- Quantum Algorithms for Fermionic Simulations
- Gate count estimates for performing quantum chemistry on small quantum computers
- Minimal Universal Two-qubit Quantum Circuits
- Low Depth Quantum Simulation of Electronic Structure
- An adaptive configuration interaction approach for strongly correlated electrons with tunable accuracy
- Entanglement and entangling power of the dynamics in light-harvesting complexes
- Witnessing eigenstates for quantum simulation of Hamiltonian spectra
- Studying Light-Harvesting Models with Superconducting Circuits
- Quantum simulator of an open quantum system using superconducting qubits: exciton transport in photosynthetic complexes
- Tensor hypercontraction: A universal technique for the resolution of matrix elements of local, finite-range -body potentials in many-body quantum problems
- Exact two-qubit universal quantum circuit
- Towards Outperforming Classical Algorithms with Analog Quantum Simulators
Cited by in corpus (132)
- Variational Quantum Algorithms
- Noisy intermediate-scale quantum (NISQ) algorithms
- Quantum computational chemistry
- The Variational Quantum Eigensolver: a review of methods and best practices
- Hybrid quantum-classical algorithms and quantum error mitigation
- Quantum convolutional neural network for classical data classification
- Efficient and Noise Resilient Measurements for Quantum Chemistry on Near-Term Quantum Computers
- Barren Plateaus in Variational Quantum Computing
- Quantum equation of motion for computing molecular excitation energies on a noisy quantum processor
- Solving nonlinear differential equations with differentiable quantum circuits
- Increasing the representation accuracy of quantum simulations of chemistry without extra quantum resources
- Doubling the size of quantum simulators by entanglement forging
- Fermionic partial tomography via classical shadows
- A Non-Orthogonal Variational Quantum Eigensolver
- Decoding quantum errors with subspace expansions
- Algorithms for quantum simulation at finite energies
- Quantum Power Method by a Superposition of Time-Evolved States
- Calculating energy derivatives for quantum chemistry on a quantum computer
- Near-Term Quantum Computing Techniques: Variational Quantum Algorithms, Error Mitigation, Circuit Compilation, Benchmarking and Classical Simulation
- Entanglement-Based Quantum Information Technology
- Hardware Efficient Quantum Algorithms for Vibrational Structure Calculations
- Real time evolution for ultracompact Hamiltonian eigenstates on quantum hardware
- Calculation of the Green's function on near-term quantum computers
- Symmetry-adapted variational quantum eigensolver
- Does provable absence of barren plateaus imply classical simulability?
- A state-averaged orbital-optimized hybrid quantum-classical algorithm for a democratic description of ground and excited states
- Quantum Filter Diagonalization with Double-Factorized Hamiltonians
- Quantum simulation of electronic structure with a transcorrelated Hamiltonian: improved accuracy with a smaller footprint on the quantum computer
- Learning quantum data with the quantum Earth Mover's distance
- Applications of Quantum Computing for Investigations of Electronic Transitions in Phenylsulfonyl-carbazole TADF Emitters
- Variational Quantum Eigensolver for Frustrated Quantum Systems
- Quantum HF/DFT-Embedding Algorithms for Electronic Structure Calculations: Scaling up to Complex Molecular Systems
- Classical-to-quantum convolutional neural network transfer learning
- Penalty methods for variational quantum eigensolver
- Calculating transition amplitudes by variational quantum deflation
- Adaptive variational quantum eigensolvers for highly excited states
- A Variational Quantum Algorithm for Preparing Quantum Gibbs States
- Variational Quantum Computation of Molecular Linear Response Properties on a Superconducting Quantum Processor
- Variational Quantum Simulation for Periodic Materials
- Chemistry on quantum computers with virtual quantum subspace expansion
- Benchmarking adaptive variational quantum eigensolvers
- Variational Quantum Algorithm for Non-equilibrium Steady States
- Analytical nonadiabatic couplings and gradients within the state-averaged orbital-optimized variational quantum eigensolver
- Orbital transformations to reduce the 1-norm of the electronic structure Hamiltonian for quantum computing applications
- Spin-projection for quantum computation: A low-depth approach to strong correlation
- Variational Quantum Classifiers Through the Lens of the Hessian
- Preserving Symmetries for Variational Quantum Eigensolvers in the Presence of Noise
- Real-Time Krylov Theory for Quantum Computing Algorithms
- Generalized Quantum Assisted Simulator
- Challenges in the use of quantum computing hardware-efficient Ansatze in electronic structure theory
- Analytical energy gradient for state-averaged orbital-optimized variational quantum eigensolvers and its application to a photochemical reaction
- Hierarchical quantum circuit representations for neural architecture search
- One-particle Green's functions from the quantum equation of motion algorithm
- Quantum-Selected Configuration Interaction: classical diagonalization of Hamiltonians in subspaces selected by quantum computers
- Evaluation of Parameterized Quantum Circuits with Cross-Resonance Pulse-Driven Entanglers
- Predicting excited states from ground state wavefunction by supervised quantum machine learning
- The Basics of Quantum Computing for Chemists
- Topology-Driven Quantum Architecture Search Framework
- Error-mitigated fermionic classical shadows on noisy quantum devices
- A self-consistent field approach for the variational quantum eigensolver: orbital optimization goes adaptive
- State Preparation Boosters for Early Fault-Tolerant Quantum Computation
- Latency considerations for stochastic optimizers in variational quantum algorithms
- Calculating nonadiabatic couplings and Berry's phase by variational quantum eigensolvers
- Extending the Variational Quantum Eigensolver to Finite Temperatures
- Accelerated variational quantum eigensolver with joint Bell measurement
- Variational Simulation of Schwinger's Hamiltonian with Polarisation Qubits
- Calculating the ground state energy of benzene under spatial deformations with noisy quantum computing
- Mitigating algorithmic errors in quantum optimization through energy extrapolation
- Post-Hartree-Fock method in Quantum Chemistry for Quantum Computer
- Quantum algorithms for the generalized eigenvalue problem
- Which options exist for NISQ-friendly linear response formulations?
- Efficient Quantum Analytic Nuclear Gradients with Double Factorization
- Quantum Computation of Hydrogen Bond Dynamics and Vibrational Spectra
- Gutzwiller wave function on a quantum computer using a discrete Hubbard-Stratonovich transformation
- Quantum gradient descent algorithms for nonequilibrium steady states and linear algebraic systems
- Tensor-network-assisted variational quantum algorithm
- The variational quantum eigensolver self-consistent field method within a polarizable embedded framework
- A backend-agnostic, quantum-classical framework for simulations of chemistry in C++
- Measurement-efficient quantum Krylov subspace diagonalisation
- Faster variational quantum algorithms with quantum kernel-based surrogate models
- Enhancing VQE Convergence for Optimization Problems with Problem-specific Parameterized Quantum Circuits
- Fast-forwarding quantum simulation with real-time quantum Krylov subspace algorithms
- Operational Quantum Average-Case Distances
- Exploring Quantum Average-Case Distances: proofs, properties, and examples
- Many-Body Excited States with a Contracted Quantum Eigensolver
- A full circuit-based quantum algorithm for excited-states in quantum chemistry
- Calculation of core-excited and core-ionized states using variational quantum deflation method and applications to photocatalyst modelling
- Non-adiabatic Quantum Wavepacket Dynamics Simulation Based on Electronic Structure Calculations using the Variational Quantum Eigensolver
- Simulator Demonstration of Large Scale Variational Quantum Algorithm on HPC Cluster
- Quantum Circuit Parameters Learning with Gradient Descent Using Backpropagation
- Detection of energy levels of a spin system on a quantum computer by probe spin evolution
- A Universal Quantum Circuit Design for Periodical Functions
- Local, Expressive, Quantum-Number-Preserving VQE Ansatze for Fermionic Systems
- Simulating thermodynamic properties of dinuclear metal complexes using Variational Quantum Algorithms
- Analytical Ground- and Excited-State Gradients for Molecular Electronic Structure Theory from Hybrid Quantum/Classical Methods
- Maximising Quantum-Computing Expressive Power through Randomised Circuits
- Subspace-Search Quantum Imaginary Time Evolution for Excited State Computations
- Ab initio extended Hubbard model of short polyenes for efficient quantum computing
- A Classically Efficient Quantum Scalable Fermi-Hubbard Benchmark
- Quantum computing quantum Monte Carlo algorithm
- Universal noise-precision relations in variational quantum algorithms
- A Method of Determining Excited-States for Quantum Computation
- Cascaded variational quantum eigensolver algorithm
- Self-consistent Quantum Linear Response with a Polarizable Embedding environment
- Inductive Construction of Variational Quantum Circuit for Constrained Combinatorial Optimization
- Deep variational quantum eigensolver for excited states and its application to quantum chemistry calculation of periodic materials
- VQE-generated quantum circuit dataset for machine learning
- Almost fault-tolerant quantum machine learning with drastic overhead reduction
- Quantum nuclear dynamics on a distributed set of ion-trap quantum computing systems
- Estimating Eigenenergies from Quantum Dynamics: A Unified Noise-Resilient Measurement-Driven Approach
- Fourier Analysis of Variational Quantum Circuits for Supervised Learning
- Quantum simulation and ground state preparation for the honeycomb Kitaev model
- Simulation of Condensed-Phase Spectroscopy with Near-term Digital Quantum Computer
- Practical Quantum Computing: The value of local computation
- Energy levels estimation on a quantum computer by evolution of a physical quantity
- Crosstalk-Based Parameterized Quantum Circuit Approximation
- Ground state energy and magnetization curve of a frustrated magnetic system from real-time evolution on a digital quantum processor
- Ab Initio Polaritonic Chemistry on Diverse Quantum Computing Platforms: Qubit, Qudit, and Hybrid Qubit-Qumode Architectures
- Photonic variational quantum eigensolver for NISQ-compatible quantum technology
- Rovibrational energy levels of HO by quantum computing
- Adiabatic state preparation from general initial states
- Optimal Fermionic Joint Measurements for Estimating Non-Commuting Majorana Observables
- Encoding strongly-correlated many-boson wavefunctions on a photonic quantum computer: application to the attractive Bose-Hubbard model
- State preparation and evolution in quantum computing: a perspective from Hamiltonian moments
- Symmetry-Checking in Band Structure Calculations on a Noisy Quantum Computer
- Efficient 2D Tensor Network Simulation of Quantum Systems
- Quantum circuit and mapping algorithms for wavepacket dynamics: case study of anharmonic hydrogen bonds in protonated and hydroxide water clusters
- Hybrid Quantum-Classical Eigensolver Without Variation or Parametric Gates
- Block Lanczos method for excited states on a quantum computer
- Exploring fixed points and eigenstates of quantum systems with reinforcement learning
- Variational Quantum Simulation of Chemical Dynamics with Quantum Computers
- Mapping quantum chemical dynamics problems onto spin-lattice simulators