3 problems

Let $\mathcal{S}$ and $\mathcal{T}$ be sets of quantum states. Consider testing convex combinations of iid states $\rho^{\otimes n}$ with $\rho\in\mathcal{S}$ against convex combin…

Let $A,B_{1},\ldots,B_{r}$ be positive semidefinite operators with strictly positive trace, and let $K_{0},\ldots,K_{r}$ be strictly positive constants. For positive semidefinite o…

Factor-removal conjecture. The factor $1/3$ in this bound may be removed, so that the full multiple quantum Chernoff exponent $\xi_{\mathrm{QCB}}(\Sigma)$ is attainable.