Local Manipulation and Measurement of Nonlocal Many-Body Operators in Lattice Gauge Theory Quantum Simulators

Abstract

Lattice Gauge Theories form a very successful framework for studying nonperturbative gauge field physics, in particular in Quantum Chromodynamics. Recently, their quantum simulation on atomic and solid-state platforms has been discussed, aiming at overcoming some of the difficulties still faced by the conventional approaches (such as the sign problem and real time evolution). While the actual implementations of a lattice gauge theory on a quantum simulator may differ in terms of the simulating system and its properties, they are all directed at studying similar physical phenomena, requiring the measurement of nonlocal observables, due to the local symmetry of gauge theories. In this work, general schemes for measuring such nonlocal observables (Wilson loops and mesonic string operators) in general lattice gauge theory quantum simulators that are based merely on local operations are proposed.

References in corpus (16)

• Many-Body Physics with Ultracold Gases
• Computational complexity and fundamental limitations to fermionic quantum Monte Carlo simulations
• Atomic Quantum Simulation of U(N) and SU(N) Non-Abelian Lattice Gauge Theories
• A Formulation of Lattice Gauge Theories for Quantum Simulations
• Optical Abelian Lattice Gauge Theories
• Digital lattice gauge theories
• Simulating 2+1d Lattice QED with dynamical matter using ultracold atoms
• Two-dimensional Lattice Gauge Theories with Superconducting Quantum Circuits
• Digital quantum simulation of ${\mathbb{Z}}_2$ lattice gauge theories with dynamical fermionic matter
• Charged fermions coupled to ${\mathbb{Z}}_2$ gauge fields: Superfluidity, confinement and emergent Dirac fermions
• Implementing quantum electrodynamics with ultracold atomic systems
• Discrete Abelian Gauge Theories for Quantum Simulations of QED
• Real time dynamics and proposal for feasible experiments of lattice gauge-Higgs model simulated by cold atoms
• Projected Entangled Pair States with non-Abelian gauge symmetries: an SU(2) study
• Topological Wilson-loop area law manifested using a superposition of loops
• Half a state, half an operator: a general formulation of stators

Cited by in corpus (9)

• Search for Efficient Formulations for Hamiltonian Simulation of non-Abelian Lattice Gauge Theories
• Quantum Simulation of Light-Front Parton Correlators
• Photon-mediated Stroboscopic Quantum Simulation of a ${\mathbb{Z}}_2$ Lattice Gauge Theory
• Simulating 2+1d ${\mathbb{Z}}_3$ lattice gauge theory with iPEPS
• From the Jaynes-Cummings model to non-Abelian gauge theories: a guided tour for the quantum engineer
• Resource-Efficient Quantum Simulation of Lattice Gauge Theories in Arbitrary Dimensions: Solving for Gauss' Law and Fermion Elimination
• Simulating ${\mathbb{Z}}_2$ Lattice Gauge Theory with the Variational Quantum Thermalizer
• Neural-Shadow Quantum State Tomography
• Partonic distribution functions and amplitudes using tensor network methods