Real-time simulation of (2+1)-dimensional lattice gauge theory on qubits

Abstract

We study the quantum simulation of Z2 lattice gauge theory in 2+1 dimensions. The dual variable formulation, the so-called Wegner duality, is utilized for reducing redundant gauge degrees of freedom. The problem of artificial charge unconservation is resolved for any charge distribution. As a demonstration, we simulate the real-time evolution of the system with two static electric charges, i.e., with two temporal Wilson lines. Some results obtained by the simulator (with no hardware noise) and the real device (with sizable hardware noise) of a quantum computer are shown.

References in corpus (32)

• Real-time dynamics of lattice gauge theories with a few-qubit quantum computer
• Self-Verifying Variational Quantum Simulation of the Lattice Schwinger Model
• Quantum-Classical Computation of Schwinger Model Dynamics using Quantum Computers
• Atomic Quantum Simulation of Dynamical Gauge Fields coupled to Fermionic Matter: From String Breaking to Evolution after a Quench
• Observation of gauge invariance in a 71-site Bose-Hubbard quantum simulator
• SU(2) non-Abelian gauge field theory in one dimension on digital quantum computers
• Simulating Compact Quantum Electrodynamics with ultracold atoms: Probing confinement and nonperturbative effects
• Simulations of non-Abelian gauge theories with optical lattices
• Quantum simulations of gauge theories with ultracold atoms: local gauge invariance from angular momentum conservation
• Optical Abelian Lattice Gauge Theories
• U(1) Wilson lattice gauge theories in digital quantum simulators
• Confinement and lattice QED electric flux-tubes simulated with ultracold atoms
• Digital lattice gauge theories
• Quantum Algorithms for Simulating the Lattice Schwinger Model
• Real Time Dynamics and Confinement in the ${\mathbb{Z}}_n$ Schwinger-Weyl lattice model for 1+1 QED
• Gluon Field Digitization for Quantum Computers
• Two-dimensional Lattice Gauge Theories with Superconducting Quantum Circuits
• Digital quantum simulation of ${\mathbb{Z}}_2$ lattice gauge theories with dynamical fermionic matter
• Non-Abelian $SU(2)$ Lattice Gauge Theories in Superconducting Circuits
• Gauge-invariant implementation of the Abelian Higgs model on optical lattices
• Digital quantum simulation of lattice gauge theories in three spatial dimensions
• Quantum simulation of the universal features of the Polyakov loop
• Gauss's Law, Duality, and the Hamiltonian Formulation of U(1) Lattice Gauge Theory
• Solving Gauss's Law on Digital Quantum Computers with Loop-String-Hadron Digitization
• Oracles for Gauss's law on digital quantum computers
• Real-time chiral dynamics from a digital quantum simulation
• Gluon Field Digitization via Group Space Decimation for Quantum Computers
• A gauge redundancy-free formulation of compact QED with dynamical matter for quantum and classical computations
• A gauge-invariant, rotor Hamiltonian from dual variables of 3D U(1) gauge theory
• Suppressing Coherent Gauge Drift in Quantum Simulations
• Robustness of gauge-invariant dynamics against defects in ultracold-atom gauge theories
• Classically Emulated Digital Quantum Simulation of the Schwinger Model with Topological Term via Adiabatic State Preparation

Cited by in corpus (20)

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• Improved Hamiltonians for Quantum Simulations
• Toward Quantum Simulations of ${\mathbb{Z}}_2$ Gauge Theory Without State Preparation
• Prospects for Simulating a Qudit Based Model of (1+1)d Scalar QED
• Lattice Renormalization of Quantum Simulations
• Scalable cold-atom quantum simulator for two-dimensional QED
• Primitive Quantum Gates for an SU(3) Discrete Subgroup: $\Sigma (36\times 3)$
• Dynamical quantum phase transitions in a noisy lattice gauge theory
• Gluon Digitization via Character Expansion for Quantum Computers
• Measurement-based infused circuits for variational quantum eigensolvers
• Quantum mean estimation for lattice field theory
• Quantum simulation of lattice gauge theories via deterministic duality transformations assisted by measurements
• Toward nuclear physics from lattice QCD on quantum computers
• Quantum sampling for the Euclidean path integral of lattice gauge theory
• Sequency Hierarchy Truncation (SeqHT) for Adiabatic State Preparation and Time Evolution in Quantum Simulations
• Quantum circuit for ${\mathbb{Z}}_3$ lattice gauge theory at nonzero baryon density
• Lattice Lindblad simulation
• Large scale multi-node simulations of ${\mathbb{Z}}_2$ gauge theory quantum circuits using Google Cloud Platform