Quantum anomaly for benchmarking quantum computing

arXiv:2603.03697 · hep-lat, hep-th, quant-ph · Submitted 2026-03-04 · Read on arXiv

hep-lat, hep-th, quant-ph

Submitted: 2026-03-04

Updated: 2026-09-22

Journal ref: Phys. Rev. Research 8, 033349 (2026)

DOI: 10.1103/l8w6-pk4m

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Benchmark — 4× in this paper · explained in 2 episodes
• Benchmarking — 3× in this paper · explained in 3 episodes
• Hilbert Space — 2× in this paper · explained in 2 episodes
• Verification — 2× in this paper · explained in 2 episodes
• All-to-All Connectivity — 1× in this paper · explained in 1 episode
• Consistency — 1× in this paper · explained in 3 episodes
• Fidelity — 1× in this paper · explained in 2 episodes
• Quantum Circuits — 1× in this paper · explained in 2 episodes

Sources

• SU(2) non-Abelian gauge field theory in one dimension on digital quantum computers
• Real-time simulation of (2+1)-dimensional lattice gauge theory on qubits
• Digital Quantum Simulation of the Schwinger Model and Symmetry Protection with Trapped Ions
• Probing confinement in a $\mathbb{Z}_2$ lattice gauge theory on a quantum computer
• Self-mitigating Trotter circuits for SU(2) lattice gauge theory on a quantum computer
• Simulating one-dimensional quantum chromodynamics on a quantum computer: Real-time evolutions of tetra- and pentaquarks
• Dynamical quantum phase transitions of the Schwinger model: real-time dynamics on IBM Quantum
• Simulating $\mathbb{Z}_2$ lattice gauge theory on a quantum computer
• First-Order Phase Transition of the Schwinger Model with a Quantum Computer
• Visualizing Dynamics of Charges and Strings in (2+1)D Lattice Gauge Theories
• Quantum computation of hadron scattering in a lattice gauge theory
• (2+1)D quantum electrodynamics at finite density on a quantum computer
• Onset of thermalization of q-deformed SU(2) Yang-Mills theory on a trapped-ion quantum computer
• Scalable Circuits for Preparing Ground States on Digital Quantum Computers: The Schwinger Model Vacuum on 100 Qubits
• Quantum Simulations of Hadron Dynamics in the Schwinger Model using 112 Qubits
• Floquet prethermalization of ${\bf Z}_2$ lattice gauge theory on superconducting qubits
• Floquet evolution of the q-deformed \texorpdfstring{SU(3)${}_1$}{SU(3)1} Yang-Mills theory on a two-leg ladder
• A new fermion Hamiltonian for lattice gauge theory
• Canonical Approach to Ginsparg-Wilson Fermion
• Chiral fermion in the Hamiltonian lattice gauge theory

Related papers

• Sampling SU(N) gauge theory on a 2D lattice from independent plaquettes via holonomies and corner reweighting
• MORE Thermal Gauge Theories at Finite theta and mu from Real-Time Quantum Simulation
• Sampling the Schwinger Model with Gauge-Equivariant Diffusion
• Local Thermalization of SU(2) Lattice Gauge Fields on Quantum Computers
• Confinement, String Breaking, and Hadronization in the Compact Abelian Higgs Model
• Continuum limit of a qubit-regularized SU(3) lattice gauge theory on a plaquette chain