Dubrovin's conjecture on Fano varieties

Let $X$ be a smooth Fano variety. The Dubrovin conjecture. The derived category $\mathrm{D}^b(X)$ admits a full exceptional collection if and only if the big quantum cohomology ring of $X$ is generically semisimple. The paper states that this conjectural relationship between derived categories and quantum cohomology is verified for the particular Fano sixfold studied there; the general equivalence remains open.