Comparability of multipartite entanglement

Abstract

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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• Quantifying entanglement resources
• Obtain $W$-state from three-qubit $GHZ$-state on rate 1
• Asymptotic entanglement transformation between W and GHZ states
• Efficiency of Deterministic Entanglement Transformation