# A new geometric lens on quantum thermalization sidesteps an exponential wall - slug: a-new-geometric-lens-on-quantum-thermalization-sidesteps-an-exponential-wall - date: 2026-04-06 - category: Quantum Computing Predicting when a quantum system loses track of its initial state has required either exponential time or statistical averaging over many identical preparations. A new proof claims to eliminate both, using only the geometry of high-dimensional Hilbert space. ---