Comparability of multipartite entanglement
  We prove, in a multipartite setting, that it's always feasible to exactly transform a genuinely $m$-partite entangled state with sufficient many copies to any other $m$-partite state via local quantum operation and classical communication. This result affirms the comparability of multipartite pure entangled states. 
Zhengfeng Ji, Runyao Duan, Mingsheng Ying