Linear Response on a Quantum Computer

Abstract

The dynamic linear response of a quantum system is critical for understanding both the structure and dynamics of strongly-interacting quantum systems, including neutron scattering from materials, photon and electron scattering from atomic systems, and electron and neutrino scattering by nuclei. We present a general algorithm for quantum computers to calculate the dynamic linear response function with controlled errors and to obtain information about specific final states that can be directly compared to experimental observations.

Fixed acknowledgements

References in corpus (12)

• Simulated Quantum Computation of Molecular Energies
• Simulating Hamiltonian dynamics with a truncated Taylor series
• Probing Cold Dense Nuclear Matter
• Quantum Simulation of Electronic Structure with Linear Depth and Connectivity
• Polynomial-time quantum algorithm for the simulation of chemical dynamics
• Cloud Quantum Computing of an Atomic Nucleus
• Momentum sharing in imbalanced Fermi systems
• Inclusive quasi-elastic electron-nucleus scattering
• Improved Techniques for Preparing Eigenstates of Fermionic Hamiltonians
• Quantum Algorithm for Spectral Measurement with Lower Gate Count
• Preparation of many-body states for quantum simulation
• Ground States via Spectral Combing on a Quantum Computer

Cited by in corpus (70)

• Quantum Simulation for High Energy Physics
• Standard Model Physics and the Digital Quantum Revolution: Thoughts about the Interface
• Quantum Machine Learning in High Energy Physics
• Parton Physics on a Quantum Computer
• Quantum Computing for Neutrino-nucleus Scattering
• Calculating energy derivatives for quantum chemistry on a quantum computer
• Rodeo Algorithm for Quantum Computing
• Calculation of the Green's function on near-term quantum computers
• Quantum computing of the ${}^6$Li nucleus via ordered unitary coupled clusters
• Minimally-Entangled State Preparation of Localized Wavefunctions on Quantum Computers
• Single-particle digitization strategy for quantum computation of a ${\varphi }^4$ scalar field theory
• Preparation of excited states for nuclear dynamics on a quantum computer
• Lattice QCD and Neutrino-Nucleus Scattering
• Quantum Algorithms for Estimating Physical Quantities using Block-Encodings
• Symmetry assisted preparation of entangled many-body states on a quantum computer
• Quasielastic lepton scattering and back-to-back nucleons in the short-time approximation
• Near- and long-term quantum algorithmic approaches for vibrational spectroscopy
• General quantum algorithms for Hamiltonian simulation with applications to a non-Abelian lattice gauge theory
• Ab initio study of $({\mathbf{\nu }}_{\mathbf{\ell }},{\mathbf{\ell }}^{-})$ and $({\overline{\mathbf{\nu }}}_{\mathbf{\ell }},{\mathbf{\ell }}^{+})$ inclusive scattering in ${}^{12}$C: confronting the MiniBooNE and T2K CCQE data
• Toward Quantum Simulations of ${\mathbb{Z}}_2$ Gauge Theory Without State Preparation
• Accessing ground state and excited states energies in many-body system after symmetry restoration using quantum computers
• Spectral density estimation with the Gaussian Integral Transform
• A variational quantum eigensolver for dynamic correlation functions
• Lattice Renormalization of Quantum Simulations
• Quantum Simulation of Nuclear Inelastic Scattering
• ACHILLES: A novel event generator for electron- and neutrino-nucleus scattering
• Simulating excited states of the Lipkin model on a quantum computer
• Nuclei with up to $\mathbf{A}=6$ nucleons with artificial neural network wave functions
• Effective calculation of the Green's function in the time domain on near-term quantum processors
• Projection algorithm for state preparation on quantum computers
• Spectral density reconstruction with Chebyshev polynomials
• Importance sampling for stochastic quantum simulations
• HamLib: A library of Hamiltonians for benchmarking quantum algorithms and hardware
• Quantum computation of nuclear observables involving linear combination of unitary operators
• Hybrid Quantum/Classical Derivative Theory: Analytical Gradients and Excited-State Dynamics for the Multistate Contracted Variational Quantum Eigensolver
• Theoretical tools for neutrino scattering: interplay between lattice QCD, EFTs, nuclear physics, phenomenology, and neutrino event generators
• A quantum-classical co-processing protocol towards simulating nuclear reactions on contemporary quantum hardware
• Scattering phase shifts from a quantum computer
• Quantum error mitigation for Fourier moment computation
• Demonstration of the Rodeo Algorithm on a Quantum Computer
• A Quantum Computing Implementation of Nuclear-Electronic Orbital (NEO) Theory: Towards an Exact pre-Born-Oppenheimer Formulation of Molecular Quantum Systems
• Solving reaction dynamics with quantum computing algorithms
• Computation of Green's function by local variational quantum compilation
• Faster spectral density calculation using energy moments
• Quantum generative model for sampling many-body spectral functions
• Advancing quantum simulations of nuclear shell model with noise-resilient protocols
• Detect anomalous quartic gauge couplings at muon colliders with quantum kernel k-means
• Quantum Computing for Heavy Quarkonium Spectroscopy
• Quantum algorithms for disordered physics
• Calculating the Green's function of two-site Fermionic Hubbard model in a photonic system
• Entanglement-assisted phase estimation algorithm for calculating dynamical response functions
• Benchmarking quantum computers for real-time evolution of a $(1+1)$ field theory with error mitigation
• Adaptive variational quantum computing approaches for Green's functions and nonlinear susceptibilities
• Simulating Non-Markovian Dynamics in Multidimensional Electronic Spectroscopy via Quantum Algorithm
• Improved resource-tunable near-term quantum algorithms for transition probabilities, with applications in physics and variational quantum linear algebra
• Computing n-time correlation functions without ancilla qubits
• Quantum phase estimation based filtering: performance analysis and application to low-energy spectral calculation
• Quantum simulation of the phase transition of the massive Thirring model
• Simulation of a Three-Nucleons System Transition on Quantum Circuits
• Nonlinear Spectroscopy via Generalized Quantum Phase Estimation
• Quantum simulation of weak-field light-matter interactions
• A circuit-differentiation framework for Green's functions on quantum computers
• Channel-based framework for phase esimation of multiple eigenvalues
• Does the full configuration interaction method based on quantum phase estimation with Trotter decomposition satisfy the size consistency condition?
• Toward scalable quantum computations of atomic nuclei
• Controlled Gate Networks: Theory and Application to Eigenvalue Estimation
• A quantum machine learning classifier to search for new physics
• Digit quantum simulation of a fermion field in an expanding universe
• Quantum Simulation of Nuclear Dynamics in First Quantization
• Nuclear two point correlation functions on a quantum-computer