Quantum simulation of the Schwinger model: A study of feasibility

2014/07/31 by Stefan Kühn, J. I. Cirac, J. Ignacio Cirac +2 · 5 citations
Mathematics · Physics and Astronomy · #Adiabatic process #Gauge theory #Hamiltonian (control theory) #Lattice (music) #Mathematics #Observable #Open quantum system #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum and electron transport phenomena #Quantum many-body systems #Quantum mechanics #Quantum simulator #Statistical physics #Theoretical physics #hep-lat #quant-ph

paper · pdf · doi:10.1103/physreva.90.042305

published as Phys. Rev. A 90, 042305 (2014) · 10 pages, 10 figures, published version

openalex publication_date 2014/10/03 · arxiv created 2014/12/10 · arxiv updated 2014/12/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

A feasibility study of quantum simulation of lattice gauge models is performed, showing rapid convergence with increasing number of dimensions of the chosen representation, robustness to noise, and the possibility of adiabatic preparation of the ground state.

Citations

• Matrix Product Density Operators: Simulation of Finite-Temperature and Dissipative Systems
• Ab Initio Determination of Light Hadron Masses
• Density Matrix Renormalization Group and Periodic Boundary Conditions: A Quantum Information Perspective
• Matrix product states, projected entangled pair states, and variational renormalization group methods for quantum spin systems
• The density-matrix renormalization group in the age of matrix product states
• Hamiltonian formulation of Wilson's lattice gauge theories

Cited by

• Quantum simulations of lattice gauge theories using ultracold atoms in optical lattices
• Formulation of lattice gauge theories for quantum simulations
• Robustness of gauge-invariant dynamics against defects in ultracold-atom gauge theories
• Non-Abelian string breaking phenomena with matrix product states
• From quantum link models to D-theory: a resource efficient framework for the quantum simulation and computation of gauge theories