3 problems

Let $A_k$ denote the $k$-sector length of an $n$-qubit quantum state. Asymptotic sector-length conjecture. For all $k$ there exists an $n_0$ such that, for all $n\geq n_0$, every…

Let $\mathcal{D}(d)$ denote the set of $d$-dimensional quantum states. Let $f:\mathcal{D}(d)\to\mathbb{R}$ be concave and symmetric, let $\rho_1,\rho_2,\rho_3\in\mathcal{D}(d)$ be…

NPT bound-entanglement conjecture. There exist bipartite NPT states which are not distillable.