New mathematical framework extends Weingarten calculus to constrained quantum randomness. Reveals symmetry-resolved Schur-Weyl duality governing entanglement, scrambling, and thermalization in systems with conserved charges or energy resolution.

New mathematical framework extends Weingarten calculus to constrained quantum randomness. Reveals symmetry-resolved Schur-Weyl duality governing entanglement, scrambling, and thermalization in systems with conserved charges or energy resolution.