On the rank of extremal marginal states

Repana Devendra, Pankaj Dey, Santanu Dey

Let $\ddot{I}{}_1$ and $\ddot{I}{}_2$ be two states on ${\mathbb{C}}^{d_1}$ and ${\mathbb{C}}^{d_2}$ respectively. The marginal state space, denoted by $\mathcal{C}(\ddot{I}{}_1,\ddot{I}{}_2)$, is the set of all stat…