3 problems

Corrected quantum transport distance conjecture. The quantity

In the classical setting, for a suitable nonnegative function $f$, the gradient of its square root satisfies an inequality controlled by the $L^1$ norm of its Hessian. In the non-c…

Let $\Pi_3$ denote the parameter space of probability vectors with three coordinates, and consider the cases (a)--(d) described for the corresponding quantum optimal transport prob…