Selected topics of quantum computing for nuclear physics
arXiv:2011.01431 · doi:10.1088/1674-1056/abd761
Abstract
Nuclear physics, whose underling theory is described by quantum gauge field coupled with matter, is fundamentally important and yet is formidably challenge for simulation with classical computers. Quantum computing provides a perhaps transformative approach for studying and understanding nuclear physics. With rapid scaling-up of quantum processors as well as advances on quantum algorithms, the digital quantum simulation approach for simulating quantum gauge fields and nuclear physics has gained lots of attentions. In this review, we aim to summarize recent efforts on solving nuclear physics with quantum computers. We first discuss a formulation of nuclear physics in the language of quantum computing. In particular, we review how quantum gauge fields~(both Abelian and non-Abelian) and its coupling to matter field can be mapped and studied on a quantum computer. We then introduce related quantum algorithms for solving static properties and real-time evolution for quantum systems, and show their applications for a broad range of problems in nuclear physics, including simulation of lattice gauge field, solving nucleon and nuclear structure, quantum advantage for simulating scattering in quantum field theory, non-equilibrium dynamics, and so on. Finally, a short outlook on future work is given.
arXiv commentreview, 10 pages, comments are welcome
References in corpus (99)
- Circuit Quantum Electrodynamics: Coherent Coupling of a Single Photon to a Cooper Pair Box
- Hardware-efficient Variational Quantum Eigensolver for Small Molecules and Quantum Magnets
- Probing many-body dynamics on a 51-atom quantum simulator
- The theory of variational hybrid quantum-classical algorithms
- Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
- Adiabatic Quantum Computing
- Simulated Quantum Computation of Molecular Energies
- Computational complexity and fundamental limitations to fermionic quantum Monte Carlo simulations
- An adaptive variational algorithm for exact molecular simulations on a quantum computer
- Real-time dynamics of lattice gauge theories with a few-qubit quantum computer
- Scalable Quantum Simulation of Molecular Energies
- Optimal Hamiltonian Simulation by Quantum Signal Processing
- Parton Physics on Euclidean Lattice
- Quantum algorithm for systems of linear equations with exponentially improved dependence on precision
- Self-Verifying Variational Quantum Simulation of the Lattice Schwinger Model
- Variational ansatz-based quantum simulation of imaginary time evolution
- Quantum singular value transformation and beyond: exponential improvements for quantum matrix arithmetics
- Hybrid Quantum-Classical Hierarchy for Mitigation of Decoherence and Determination of Excited States
- Quantum Algorithms for Quantum Field Theories
- Variational Quantum Computation of Excited States
- Quantum chemistry calculations on a trapped-ion quantum simulator
- Hybrid quantum information processing
- Quantum-Classical Computation of Schwinger Model Dynamics using Quantum Computers
- Quantum Simulations of Lattice Gauge Theories using Ultracold Atoms in Optical Lattices
- Cloud Quantum Computing of an Atomic Nucleus
- Ultracold Quantum Gases and Lattice Systems: Quantum Simulation of Lattice Gauge Theories
- A random compiler for fast Hamiltonian simulation
- Atomic Quantum Simulation of Dynamical Gauge Fields coupled to Fermionic Matter: From String Breaking to Evolution after a Quench
- Variational quantum algorithms for nonlinear problems
- Observation of gauge invariance in a 71-site Bose-Hubbard quantum simulator
- Topological quantum matter with cold atoms
- Subspace-search variational quantum eigensolver for excited states
- Quantum Implementation of Unitary Coupled Cluster for Simulating Molecular Electronic Structure
- Realization of density-dependent Peierls phases to engineer quantized gauge fields coupled to ultracold matter
- Lattice gauge theories and string dynamics in Rydberg atom quantum simulators
- A cold-atom quantum simulator for SU(2) Yang-Mills lattice gauge theory
- SU(2) non-Abelian gauge field theory in one dimension on digital quantum computers
- The General Quantum Interference Principle and the Duality Computer
- Simulating Compact Quantum Electrodynamics with ultracold atoms: Probing confinement and nonperturbative effects
- Parton distributions and lattice QCD calculations: a community white paper
- Realizing a scalable building block of a U(1) gauge theory with cold atomic mixtures
- Variational quantum simulation of general processes
- Simulations of non-Abelian gauge theories with optical lattices
- From transistor to trapped-ion computers for quantum chemistry
- Constrained dynamics via the Zeno effect in quantum simulation: Implementing non-Abelian lattice gauge theories with cold atoms
- Atomic quantum simulator for lattice gauge theories and ring exchange models
- Tensor networks for Lattice Gauge Theories and Atomic Quantum Simulation
- Optical Abelian Lattice Gauge Theories
- Digitization of Scalar Fields for Quantum Computing
- Wilson Fermions and Axion Electrodynamics in Optical Lattices
- General Methods for Digital Quantum Simulation of Gauge Theories
- Variational Quantum Eigensolver with Fewer Qubits
- Quantum simulation of a lattice Schwinger model in a chain of trapped ions
- Digital lattice gauge theories
- Simulating 2+1d Lattice QED with dynamical matter using ultracold atoms
- Quantum Algorithms for Simulating the Lattice Schwinger Model
- Variational Thermal Quantum Simulation via Thermofield Double States
- Superconducting Circuits for Quantum Simulation of Dynamical Gauge Fields
- Loop, String, and Hadron Dynamics in SU(2) Hamiltonian Lattice Gauge Theories
- Towards analog quantum simulations of lattice gauge theories with trapped ions
- Gluon Field Digitization for Quantum Computers
- Tensor Networks for Lattice Gauge Theories with continuous groups
- Observation of density-dependent gauge fields in a Bose-Einstein condensate based on micromotion control in a shaken two-dimensional lattice
- Two-dimensional Lattice Gauge Theories with Superconducting Quantum Circuits
- Simulation of Nonequilibrium Dynamics on a Quantum Computer
- Digital quantum simulation of lattice gauge theories with dynamical fermionic matter
- Non-Abelian string breaking phenomena with Matrix Product States
- Quantum machine learning over infinite dimensions
- Parton Physics on a Quantum Computer
- Quantum Computing for Neutrino-nucleus Scattering
- Efficient Basis Formulation for (1+1)-Dimensional SU(2) Lattice Gauge Theory: Spectral calculations with matrix product states
- Quantum simulation of the universal features of the Polyakov loop
- Encoding an oscillator into many oscillators
- Quantum algorithm for non-homogeneous linear partial differential equations
- Hamiltonian simulation of the Schwinger model at finite temperature
- Reliability of lattice gauge theories
- Deeply inelastic scattering structure functions on a hybrid quantum computer
- Oracles for Gauss's law on digital quantum computers
- Discrete Abelian Gauge Theories for Quantum Simulations of QED
- Real-time chiral dynamics from a digital quantum simulation
- Eliminating fermionic matter fields in lattice gauge theories
- Quantum Algorithms for Jet Clustering
- Relativistic quantum effects of Dirac particles simulated by ultracold atoms
- Digitizing Gauge Fields: Lattice Monte Carlo Results for Future Quantum Computers
- Scalar Quantum Field Theories as a Benchmark for Near-Term Quantum Computers
- Next-to-leading order forward hadron production in the small- regime: rapidity factorization
- Hybrid quantum computation gate with trapped ion system
- Optimal Control for the Quantum Simulation of Nuclear Dynamics
- Next-to-Leading QCD Factorization for Semi-Inclusive Deep Inelastic Scattering at Twist-4
- Destructive Error Interference in Product-Formula Lattice Simulation
- Tensor Network Simulation of compact one-dimensional lattice Quantum Chromodynamics at finite density
- Accelerating lattice quantum field theory calculations via interpolator optimization using NISQ-era quantum computing
- The power of one qumode for quantum computation
- Continuous-variable gate decomposition for the Bose-Hubbard model
- Collective optimization for variational quantum eigensolvers
- Protocol for implementing quantum nonparametric learning with trapped ions
- Realizing quantum linear regression with auxiliary qumodes
- Gauss Law, Minimal Coupling and Fermionic PEPS for Lattice Gauge Theories
- Simulation of gauge transformations on systems of ultracold atoms
Cited by in corpus (15)
- Quantum simulation of non-equilibrium dynamics and thermalization in the Schwinger model
- NISQ Computers: A Path to Quantum Supremacy
- Single-particle digitization strategy for quantum computation of a scalar field theory
- Partonic collinear structure by quantum computing
- Quantum Simulation of Chiral Phase Transitions
- Simulating excited states of the Lipkin model on a quantum computer
- Variational thermal quantum simulation of the lattice Schwinger model
- Exploring Light-Cone Distribution Amplitudes from Quantum Computing
- Deep Quantum Circuit Simulations of Low-Energy Nuclear States
- Quantum Computing for Heavy Quarkonium Spectroscopy
- Sign-Problem-Free Nuclear Quantum Monte Carlo Simulation
- A Quantum Simulation Approach to Implementing Nuclear Density Functional Theory via Imaginary Time Evolution
- Quantum computing of chirality imbalance in SU(2) gauge theory
- High-fidelity Nuclear Coherent Population Transfer via the Mixed-State Inverse Engineering
- Solving coupled Non-linear Schrödinger Equations via Quantum Imaginary Time Evolution