Concentratable entanglement: counterexamples and sharp repairs
Anonymous
Abstract
Unrefereed mathematical candidate. Exact counterexamples to a proposed universal mixed-state total concentratable-entanglement upper bound, including full-rank noisy and genuinely tripartite-entangled families; sharp uniform and fixed-size concave-roof impurity repairs. Analytic proofs and producer-side exact arithmetic checks are provided. AI-assisted internal review does not establish external peer review, independent reproduction, formal verification, priority or impact. Original prose and data CC0-1.0; original code MIT. Source literature retains its own terms.