Preparation of the SU(3) Lattice Yang-Mills Vacuum with Variational Quantum Methods

Abstract

Studying QCD and other gauge theories on quantum hardware requires the preparation of physically interesting states. The Variational Quantum Eigensolver (VQE) provides a way of performing vacuum state preparation on quantum hardware. In this work, VQE is applied to pure SU(3) lattice Yang-Mills on a single plaquette and one dimensional plaquette chains. Bayesian optimization and gradient descent were investigated for performing the classical optimization. Ansatz states for plaquette chains are constructed in a scalable manner from smaller systems using domain decomposition and a stitching procedure analogous to the Density Matrix Renormalization Group (DMRG). Small examples are performed on IBM's superconducting Manila processor.

23 pages, 16 figures, 4 tables

References in corpus (29)

• Matrix Product Density Operators: Simulation of finite-T and dissipative systems
• Ab initio calculation of the neutron-proton mass difference
• Atomic Quantum Simulation of U(N) and SU(N) Non-Abelian Lattice Gauge Theories
• A cold-atom quantum simulator for SU(2) Yang-Mills lattice gauge theory
• A Trailhead for Quantum Simulation of SU(3) Yang-Mills Lattice Gauge Theory in the Local Multiplet Basis
• A Formulation of Lattice Gauge Theories for Quantum Simulations
• Optical Abelian Lattice Gauge Theories
• Standard Model Physics and the Digital Quantum Revolution: Thoughts about the Interface
• Wilson Fermions and Axion Electrodynamics in Optical Lattices
• Charmed and light pseudoscalar meson decay constants from four-flavor lattice QCD with physical light quarks
• Digital lattice gauge theories
• Hyperon-Nucleon Scattering from Fully-Dynamical Lattice QCD
• SU(2) hadrons on a quantum computer
• Quantum simulation of non-equilibrium dynamics and thermalization in the Schwinger model
• Efficient Basis Formulation for (1+1)-Dimensional SU(2) Lattice Gauge Theory: Spectral calculations with matrix product states
• Hadron Mass Spectrum from Lattice QCD
• Provably accurate simulation of gauge theories and bosonic systems
• Single-particle digitization strategy for quantum computation of a ${\varphi }^4$ scalar field theory
• The K+K+ Scattering Length from Lattice QCD
• Quantum-classical hybrid algorithm using an error-mitigating $N$-representability condition to compute the Mott metal-insulator transition
• Quantum Algorithms for Fermionic Quantum Field Theories
• Lattice QCD with Domain Decomposition on Intel Xeon Phi Co-Processors
• New approach to lattice QCD at finite density; results for the critical end point on coarse lattices
• Photon-mediated Stroboscopic Quantum Simulation of a ${\mathbb{Z}}_2$ Lattice Gauge Theory
• Lattice Quantum Chromodynamics and Electrodynamics on a Universal Quantum Computer
• Theoretical methods to design and test quantum simulators for the compact Abelian Higgs model
• Clock model interpolation and symmetry breaking in O(2) models
• Simulating gauge theories with variational quantum eigensolvers in superconducting microwave cavities
• Convergence to minima for the continuous version of Backtracking Gradient Descent

Cited by in corpus (36)

• Quantum Simulating Nature's Fundamental Fields
• Preparations for Quantum Simulations of Quantum Chromodynamics in 1+1 Dimensions: (I) Axial Gauge
• Preparations for Quantum Simulations of Quantum Chromodynamics in 1+1 Dimensions: (II) Single-Baryon $\beta$-Decay in Real Time
• Self-mitigating Trotter circuits for SU(2) lattice gauge theory on a quantum computer
• Basic Elements for Simulations of Standard Model Physics with Quantum Annealers: Multigrid and Clock States
• Toward Quantum Computing Phase Diagrams of Gauge Theories with Thermal Pure Quantum States
• Simulating 2D lattice gauge theories on a qudit quantum computer
• Quantum and classical spin network algorithms for $q$-deformed Kogut-Susskind gauge theories
• General quantum algorithms for Hamiltonian simulation with applications to a non-Abelian lattice gauge theory
• Medium induced jet broadening in a quantum computer
• SU(2) Gauge Theory in $2+1$ Dimensions on a Plaquette Chain Obeys the Eigenstate Thermalization Hypothesis
• Nonstabilizerness in U(1) lattice gauge theory
• Variational waveguide QED simulators
• Simple Hamiltonian for Quantum Simulation of Strongly Coupled 2+1D SU(2) Lattice Gauge Theory on a Honeycomb Lattice
• From square plaquettes to triamond lattices for SU(2) gauge theory
• Quench dynamics of the Schwinger model via variational quantum algorithms
• Liouvillian Dynamics of the Open Schwinger Model: String Breaking and Kinetic Dissipation in a Thermal Medium
• Qu8its for Quantum Simulations of Lattice Quantum Chromodynamics
• Gauge Theory Couplings on Anisotropic Lattices
• Loop-string-hadron approach to SU(3) lattice Yang-Mills theory: I. Hilbert space of a trivalent vertex
• State Preparation in the Heisenberg Model through Adiabatic Spiraling
• Preparation for Quantum Simulation of the 1+1D O(3) Non-linear σ-Model using Cold Atoms
• Efficient Quantum Simulation of QCD Jets on the Light Front
• Synthetic ${\mathbb{Z}}_2$ gauge theories based on parametric excitations of trapped ions
• Randomized measurement protocols for lattice gauge theories
• Quantum Simulation of Bound State Scattering
• Improved Honeycomb and Hyperhoneycomb Lattice Hamiltonians for Quantum Simulations of Non-Abelian Gauge Theories
• Sequency Hierarchy Truncation (SeqHT) for Adiabatic State Preparation and Time Evolution in Quantum Simulations
• Pathfinding Quantum Simulations of Neutrinoless Double-Beta Decay
• Bayesian Optimization Priors for Efficient Variational Quantum Algorithms
• Identification of a natural fieldlike entanglement resource in trapped-ion chains
• Quantum circuit for ${\mathbb{Z}}_3$ lattice gauge theory at nonzero baryon density
• Disorder-Free Localization and Fragmentation in a Non-Abelian Lattice Gauge Theory
• Shearing approach to gauge-invariant Trotterization
• Perturbation theory, irrep truncations, and state preparation methods for quantum simulations of SU(3) lattice gauge theory
• Real-space blocking of qubit variables on parallel lattice gauge theory links for quantum simulation