Tight Universal Bounds on Quantum Data Hiding with Multipartite Werner States
The study established tight universal bounds for distinguishing pairs of multipartite Werner states using PPT-BOTH measurements. It found that the bias is at most $3/2 n(n-1)/d$, which is asymptotically optimal. This result resolves an open problem regarding the uniform security guarantee in data hiding and provides a lower bound of $\Omega(\sqrt{d})$ for testing unitarily invariant properties.