Comparability of multipartite entanglement

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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.
9 pages, RevTeX, no figure. Comments, criticisms and suggestions are welcome

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