2 problems

Let $\rho$ and $\sigma$ be the states appearing in the definition of the quantum Hellinger divergence $H_\alpha(\rho\|\sigma)$, and let $\alpha>1$. Trace-representation conjecture.…

Minimal Rényi sufficiency conjecture. The family $D^{\alpha}_{\min}$ provides a sufficient family of divergences for interconversion of finite-dimensional density matrices via posi…