Electron-Phonon Systems on a Universal Quantum Computer
arXiv:1802.07347 · doi:10.1103/PhysRevLett.121.110504
Abstract
We present an algorithm that extends existing quantum algorithms for simulating fermion systems in quantum chemistry and condensed matter physics to include bosons in general and phonons in particular. We introduce a qubit representation for the low-energy subspace of phonons which allows an efficient simulation of the evolution operator of the electron-phonon systems. As a consequence of the Nyquist-Shannon sampling theorem, the phonons are represented with exponential accuracy on a discretized Hilbert space with a size that increases linearly with the cutoff of the maximum phonon number. The additional number of qubits required by the presence of phonons scales linearly with the size of the system. The additional circuit depth is constant for systems with finite-range electron-phonon and phonon-phonon interactions and linear for long-range electron-phonon interactions. Our algorithm for a Holstein polaron problem was implemented on an Atos Quantum Learning Machine (QLM) quantum simulator employing the Quantum Phase Estimation method. The energy and the phonon number distribution of the polaron state agree with exact diagonalization results for weak, intermediate and strong electron-phonon coupling regimes.
5 pages, 4 figures
References in corpus (4)
Cited by in corpus (90)
- Quantum computational chemistry
- Quantum-Classical Computation of Schwinger Model Dynamics using Quantum Computers
- Quantum Simulation for High Energy Physics
- SU(2) non-Abelian gauge field theory in one dimension on digital quantum computers
- A Trailhead for Quantum Simulation of SU(3) Yang-Mills Lattice Gauge Theory in the Local Multiplet Basis
- Emerging quantum computing algorithms for quantum chemistry
- Standard Model Physics and the Digital Quantum Revolution: Thoughts about the Interface
- Digitization of Scalar Fields for Quantum Computing
- Resource Efficient Zero Noise Extrapolation with Identity Insertions
- General Methods for Digital Quantum Simulation of Gauge Theories
- Resource-efficient digital quantum simulation of -level systems for photonic, vibrational, and spin- Hamiltonians
- Quantum Algorithms for Simulating the Lattice Schwinger Model
- Gluon Field Digitization for Quantum Computers
- Simulation of Nonequilibrium Dynamics on a Quantum Computer
- Quantum Simulation of Quantum Field Theory in the Light-Front Formulation
- Hardware Efficient Quantum Algorithms for Vibrational Structure Calculations
- Non-adiabatic molecular quantum dynamics with quantum computers
- Symmetry-adapted variational quantum eigensolver
- Quantum-centric Supercomputing for Materials Science: A Perspective on Challenges and Future Directions
- Simulating Quantum Materials with Digital Quantum Computers
- Real-time chiral dynamics from a digital quantum simulation
- Gluon Field Digitization via Group Space Decimation for Quantum Computers
- Quantum algorithm for calculating molecular vibronic spectra
- Provably accurate simulation of gauge theories and bosonic systems
- Minimally-Entangled State Preparation of Localized Wavefunctions on Quantum Computers
- Sigma models on quantum computers
- Single-particle digitization strategy for quantum computation of a scalar field theory
- Variational Quantum Eigensolver for Frustrated Quantum Systems
- Basic Elements for Simulations of Standard Model Physics with Quantum Annealers: Multigrid and Clock States
- Symmetry assisted preparation of entangled many-body states on a quantum computer
- Simulating Hadronic Physics on NISQ devices using Basis Light-Front Quantization
- Near- and long-term quantum algorithmic approaches for vibrational spectroscopy
- Classically emulated digital quantum simulation for screening and confinement in the Schwinger model with a topological term
- Quantum algorithms for quantum dynamics: A performance study on the spin-boson model
- Accessing ground state and excited states energies in many-body system after symmetry restoration using quantum computers
- Quantum Simulation of Nuclear Inelastic Scattering
- Probing the energy conversion pathways between light, carriers and lattice in real time with attosecond core-level spectroscopy
- Systematically Localizable Operators for Quantum Simulations of Quantum Field Theories
- Lattice Renormalization of Quantum Simulations
- Quantum Simulation of Chiral Phase Transitions
- Quantum Simulation of the Bosonic Kitaev Chain
- Readout Rebalancing for Near Term Quantum Computers
- Real-time dynamics of Chern-Simons fluctuations near a critical point
- Bosonic field digitization for quantum computers
- Quench dynamics of the Schwinger model via variational quantum algorithms
- Fixed-Point Quantum Circuits for Quantum Field Theories
- Variational Quantum Simulation of Ultrastrong Light-Matter Coupling
- Quantum algorithms for grid-based variational time evolution
- Sampling, rates, and reaction currents through reverse stochastic quantization on quantum computers
- Using Differential Evolution to avoid local minima in Variational Quantum Algorithms
- Recompilation-enhanced simulation of electron-phonon dynamics on IBM Quantum computers
- HamLib: A library of Hamiltonians for benchmarking quantum algorithms and hardware
- Detecting the critical point through entanglement in Schwinger model
- Quantum computation of nuclear observables involving linear combination of unitary operators
- Non-Equilibrium Dynamics of a Dissipative Two-Site Hubbard Model Simulated on IBM Quantum Computers
- Scalable Quantum Simulations of Scattering in Scalar Field Theory on 120 Qubits
- Dynamical mean-field theory for the Hubbard-Holstein model on a quantum device
- Encoding trade-offs and design toolkits in quantum algorithms for discrete optimization: coloring, routing, scheduling, and other problems
- Efficient Quantum Simulation of Electron-Phonon Systems by Variational Basis State Encoder
- Digital quantum simulation of linear and nonlinear optical elements
- Efficient Quantum Simulation of QCD Jets on the Light Front
- Efficient and precise quantum simulation of ultra-relativistic quark-nucleus scattering
- Simulating scalar field theories on quantum computers with limited resources
- Robustness of quantum correlation in quantum energy teleportation
- Simulating time evolution on distributed quantum computers
- A Hybrid Quantum-Classical Method for Electron-Phonon Systems
- Estimating truncation effects of quantum bosonic systems using sampling algorithms
- Entanglement-assisted phase estimation algorithm for calculating dynamical response functions
- A Comprehensive Cross-Model Framework for Benchmarking the Performance of Quantum Hamiltonian Simulations
- On connectivity-dependent resource requirements for digital quantum simulation of -level particles
- Quantum Computation and Visualization of Hamiltonians using Discrete Quantum Mechanics and IBM QISKit
- Steady-state Peierls transition in nanotube quantum simulator
- 3+1 Dimension Schwinger Pair Production with Quantum Computers
- Toward simulating quantum field theories with controlled phonon-ion dynamics: A hybrid analog-digital approach
- Trotter simulation of vibrational Hamiltonians on a quantum computer
- Qumode transfer between continuous and discrete variable devices
- Simulating polaritonic ground states on noisy quantum devices
- Sequency Hierarchy Truncation (SeqHT) for Adiabatic State Preparation and Time Evolution in Quantum Simulations
- Quantum simulation of quantum mechanical system with spatial noncommutativity
- Multi-set variational quantum dynamics algorithm for simulating nonadiabatic dynamics on quantum computers
- Negative string tension of higher-charge Schwinger model via digital quantum simulation
- Digital Quantum Simulation of Scalar Yukawa Coupling
- Digital-Analog Simulations of Schrödinger Cat States in the Dicke-Ising Model
- Large scale multi-node simulations of gauge theory quantum circuits using Google Cloud Platform
- Resource-efficient encoding algorithm for variational bosonic quantum simulations
- Simulating collider physics on quantum computers using effective field theories
- Dynamic manifestation of exception points in a non-Hermitian continuous model with an imaginary periodic potential
- Bootstrap Embedding for Interacting Electrons in Phonon Coherent-state Mean Field
- Variational Quantum Simulation of Chemical Dynamics with Quantum Computers
- Quantum Information for Particle Theorists