4 problems

Let $\rho_{ABC}$ be a tripartite quantum state, and let $I_{\alpha}(A;B|C)_{\rho}$ denote a proposed Rényi generalization of the conditional quantum mutual information, with an ana…

Let $T_\ell(\mathcal M)$ be a block Toeplitz matrix with a $2\times2$ matrix symbol $\mathcal M(p)$, whose determinant is nonzero and has zero winding number, and suppose that…

The linear conical-defect Gauss–Bonnet conjecture. There should be no higher-order terms in $1-\alpha$, and

Let $\rho_{ABC}\in\mathcal{S}(\mathcal{H}_{ABC})_{++}$, $\tau_{AC}\in\mathcal{S}(\mathcal{H}_{AC})_{++}$, $\theta_{BC}\in\mathcal{S}(\mathcal{H}_{BC})_{++}$, and…