Quantum computing and mathematical-physics milestones

Progress continues across quantum optimization, non-Abelian anyons, qLDPC and barbell-code error correction, persistent homology, QAOA, theorem proving, kinetic equations, and matrix-based quantum-information tests. Recent results include optimal quantum-Boltzmann decay estimates and refined topological recursion, while the 121-qubit theorem-proving demonstration still shows constrained feasibility rather than quantum speedup.