Speaker
Description
I propose a defect-resolved benchmark program for quantum simulations of color confinement in non-Abelian gauge theory. The starting point is the dimensional reduction of symmetric $SU(2)$ instantons: an $SO(2)$-symmetric instanton gives a hyperbolic monopole on $H^3$, while an $SO(3)$-symmetric instanton gives a hyperbolic vortex on $H^2$. These analytic configurations define controlled topological sectors for Hamiltonian lattice gauge theory. I then formulate confinement diagnostics using relational observables defined with respect to a local color quantum reference frame. Defects obstruct the global definition of colored relational observables, whereas gauge-invariant Wilson and disorder operators remain well defined. This suggests a quantum-information diagnostic of confinement as the loss of globally defined colored relational operators after Gauss-law projection and defect-sector summation. I will present the Hamiltonian observable dictionary and minimal benchmarks for future tensor-network and quantum-computing studies, including center flux, defect-resolved Wilson loops, relational string correlators, and Gauss-law-resolved entanglement.