No-go theorems for dual Hamiltonians of Non-Abelian Lattice Gauge Theories

arXiv:2609.39780 · hep-lat, quant-ph · Submitted 2026-09-30 · Read on arXiv

hep-lat, quant-ph

Submitted: 2026-09-30

Updated: 2026-09-30

Terminology

• Hilbert Space — 10× in this paper · explained in 2 episodes
• No-Go Theorem — 3× in this paper · explained in 2 episodes
• Block Encoding — 1× in this paper · explained in 4 episodes
• Core — 1× in this paper · explained in 2 episodes
• Quantum Circuits — 1× in this paper · explained in 2 episodes
• Regularization — 1× in this paper · explained in 3 episodes
• Standard Model — 1× in this paper
• Trace — 1× in this paper · explained in 2 episodes

Sources

• A resource efficient approach for quantum and classical simulations of gauge theories in particle physics
• A Comprehensive Stress Test of Truncated Hilbert Space Bases against Green's function Monte Carlo in U(1) Lattice Gauge Theory
• Loop, String, and Hadron Dynamics in SU(2) Hamiltonian Lattice Gauge Theories
• Canonical Momenta in Digitized SU(2) Lattice Gauge Theory: Definition and Free Theory
• A new basis for Hamiltonian SU(2) simulations
• A Fully Gauge-Fixed SU(2) Hamiltonian for Quantum Simulations
• Gauge Loop-String-Hadron Formulation on General Graphs and Applications to Fully Gauge Fixed Hamiltonian Lattice Gauge Theory
• Dynamics in Hamiltonian Lattice Gauge Theory: Approaching the Continuum Limit with Partitionings of SU$(2)$
• Obtaining continuum physics from dynamical simulations of Hamiltonian lattice gauge theories
• Efficient Truncations of SU($N_c$) Lattice Gauge Theory for Quantum Simulation
• Measuring Non-Stabilizerness in an SU(2) Lattice Gauge Theory
• String-breaking statics and dynamics in a (1+1)D SU(2) lattice gauge theory
• An efficient finite-resource formulation of non-Abelian lattice gauge theories beyond one dimension
• Gauss's Law, Duality, and the Hamiltonian Formulation of U(1) Lattice Gauge Theory
• Minimum tree-stretch of Hamming graphs and higher-dimensional grids
• Quantum Algorithms for Quantum Field Theories
• Strategies for simulating time evolution of Hamiltonian lattice field theories
• Exponential improvements in the simulation of lattice gauge theories using near-optimal techniques
• Suzuki-Trotter Decompositions and other Methods for Quantum Time Evolution

Related papers

• MORE Thermal Gauge Theories at Finite theta and mu from Real-Time Quantum Simulation
• Sampling the Schwinger Model with Gauge-Equivariant Diffusion
• 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