5 problems

Let $\rho_w$ denote an entangled 1-undistillable Werner state, and let $M$ and $N$ be subsystem dimensions. An NPT state is one whose partial transpose is not positive semidefinite…

Let $\rho$ be a bipartite NPT state acting on an $M\otimes N$ system. For an integer $k\geq 1$, regard $\rho^{\otimes k}$ as a bipartite state on an $M^k\otimes N^k$ system. A stat…

Let $\rho$ be an irreducible bipartite state on an $M\times N$ system, and write its block matrices as $C_i$. A block $C_i$ has deficient rank if it does not have full rank. An NPT…

Generalized Distillability Conjecture. All generalized critical Werner states $\rho_{(d_1,\ldots,d_m)}^W$, $m\geq1$, are $1$-indistillable.

Let $\rho$ be a bipartite quantum state. It is NPT if its partial transpose is not positive semidefinite, and indistillable if no tensor power of $\rho$ is $1$-distillable. Distill…