Common resource state for preparing multi-partite quantum systems via local operations and classical communication - Cheng Guo

Given a set of multipartite entangled states, can we find a common state to prepare them by local operations and classical communication (LOCC)? Such a state, if exists, will be a common resource for this set of states. We study the properties of common resource and find the solution for bipartite case. We also point out a non-trivial common resource for 3-qubit system which is GHZ3 state.