Quantum simulation of the Schwinger model: A study of feasibility

Abstract

We analyze some crucial questions regarding the practical feasibility of quantum simulation for lattice gauge models. Our analysis focuses on two models suitable for the quantum simulation of the Schwinger Hamiltonian, or QED in 1+1 dimensions, which we investigate numerically using tensor networks. In particular, we explore the effect of representing the gauge degrees of freedom with finite-dimensional systems and show that the results converge rapidly; thus even with small dimensions it is possible to obtain a reasonable accuracy. We also discuss the time scales required for the adiabatic preparation of the interacting vacuum state and observe that for a suitable ramping of the interaction the required time is almost insensitive to the system size and the dimension of the physical systems. Finally, we address the possible presence of noninvariant terms in the Hamiltonian that is realized in the experiment and show that for low levels of noise it is still possible to achieve a good precision for some ground-state observables, even if the gauge symmetry is not exact in the implemented model.

10 pages, 10 figures, published version

References in corpus (11)

• The density-matrix renormalization group in the age of matrix product states
• Matrix Product States, Projected Entangled Pair States, and variational renormalization group methods for quantum spin systems
• Computational complexity and fundamental limitations to fermionic quantum Monte Carlo simulations
• Matrix Product Density Operators: Simulation of finite-T and dissipative systems
• Ab-initio Determination of Light Hadron Masses
• DMRG and periodic boundary conditions: a quantum information perspective
• Entropy scaling and simulability by Matrix Product States
• 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
• Optical Abelian Lattice Gauge Theories
• Cold atom simulation of interacting relativistic quantum field theories

Cited by in corpus (52)

• Stiffening solids with liquid inclusions
• A Formulation of Lattice Gauge Theories for Quantum Simulations
• Digital lattice gauge theories
• Quantum Simulating Nature's Fundamental Fields
• A resource efficient approach for quantum and classical simulations of gauge theories in particle physics
• Density Induced Phase Transitions in the Schwinger Model: A Study with Matrix Product States
• Implementing quantum electrodynamics with ultracold atomic systems
• Faster Digital Quantum Simulation by Symmetry Protection
• Entanglement generation in $(1+1)D$ QED scattering processes
• Gauge protection in non-Abelian lattice gauge theories
• Projected Entangled Pair States with non-Abelian gauge symmetries: an SU(2) study
• Stabilizing lattice gauge theories through simplified local pseudo generators
• From Quantum Link Models to D-Theory: A Resource Efficient Framework for the Quantum Simulation and Computation of Gauge Theories
• Nematic and supernematic phases in Kagome quantum antiferromagnets under a magnetic field
• Prospects for Simulating a Qudit Based Model of (1+1)d Scalar QED
• Enhancing disorder-free localization through dynamically emergent local symmetries
• Towards the continuum limit of a $(1+1)$d quantum link Schwinger model
• Towards Quantum Simulations in Particle Physics and Beyond on Noisy Intermediate-Scale Quantum Devices
• Investigating a (3+1)D Topological $\theta$-Term in the Hamiltonian Formulation of Lattice Gauge Theories for Quantum and Classical Simulations
• Simulating (2+1)D SU(2) Yang-Mills Lattice Gauge Theory at finite density with tensor networks
• Digital quantum simulation of a (1+1)D SU(2) lattice gauge theory with ion qudits
• Nearly-optimal state preparation for quantum simulations of lattice gauge theories
• Hamiltonians and gauge-invariant Hilbert space for lattice Yang-Mills-like theories with finite gauge group
• Robustness of gauge-invariant dynamics against defects in ultracold-atom gauge theories
• Quantum simulator of link models using spinor dipolar ultracold atoms
• Tensor Networks for Lattice Gauge Theories beyond one dimension: a Roadmap
• Exploring the CP-violating Dashen phase in the Schwinger model with tensor networks
• Disorder-free localization with Stark gauge protection
• Lattice gauge theory and dynamical quantum phase transitions using noisy intermediate scale quantum devices
• Phase structure of the CP(1) model in the presence of a topological $\theta$-term
• Quantum Simulation of the N flavor Gross-Neveu Model
• Loop-Free Tensor Networks for High-Energy Physics
• An efficient finite-resource formulation of non-Abelian lattice gauge theories beyond one dimension
• Reliability of lattice gauge theories in the thermodynamic limit
• Real-time dynamics of open quantum spin systems driven by dissipative processes
• ${\mathbb{Z}}_N$ lattice gauge theory in a ladder geometry
• Quantum Many-Body Scarring in a Non-Abelian Lattice Gauge Theory
• Synthetic ${\mathbb{Z}}_2$ gauge theories based on parametric excitations of trapped ions
• Measurement-based quantum simulation of Abelian lattice gauge theories
• Quantum simulation of lattice gauge theories via deterministic duality transformations assisted by measurements
• Particle production and hadronization temperature in the massive Schwinger model
• Gauge-Symmetry Protection Using Single-Body Terms
• Spectral properties of critical 1+1D Abelian-Higgs model
• Solving lattice gauge theories using the quantum Krylov algorithm and qubitization
• Renormalized dual basis for scalable simulations of 2+1D compact quantum electrodynamics
• Quantum simulation of quantum mechanical system with spatial noncommutativity
• Matching Lagrangian and Hamiltonian Simulations in (2+1)-dimensional U(1) Gauge Theory
• Partial confinement in a quantum-link simulator
• Achieving the quantum field theory limit in far-from-equilibrium quantum link models
• Stability of the symmetry-protected topological phase and Ising transitions in a disordered U(1) quantum link model on a ladder
• Nonperturbative signatures of fractons in the twisted multiflavor Schwinger Model
• Gapless deconfined phase in a ${\mathbb{Z}}_N$ symmetric Hamiltonian created in a cold-atom setup