Entangled state distillation from single copy mixed states beyond LOCC

No pure entangled state can be distilled from a $2\otimes 2$ or 3$ mixed by separable operations. In $3\otimes 3$, entanglement operation but not LOCC. this letter, we proved the conjecture [PRL. 103, 110502 (2009)] that it is possible to distill for 4$ system LOCC and further improve these in higher dimensions of Schmidt rank $d$ $m\otimes n$ when $m+n \geqslant 3d$. We found results tripartite systems with target $d$-level GHZ-type state. These provide class where strictly stronger than