Let \(\mat{P}_{\mathcal{U}}\) denote the projection unto a \(k\)-dimensional subspace of \(\C^{n}.\) We say \(\mathcal{U}\) is \(\mu\)-coherent if \((\mat{P}_{\mathcal{U}})_{ii} \leq \mu \frac{k}{n} \) for all \(i = 1, \ldots, n.\) Let \(\mat{A} \in \C^{n \times n} \) be a SPSD matrix whose top \(k\)-dimensional invariant subspace is \(\mu\)-coherent. Given \(\delta > 0\) and \(\mat{S} \in \C^{n \times [...]