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Multipartite pure-state entanglement and the generalized Greenberger-Horne-Zeilinger states

Multipartite pure-state entanglement and the generalized Greenberger-Horne-Zeilinger states

We show that not all four-party pure states are Greenberger-Horne-Zeilinger (GHZ) reducible (i.e., can be generated reversibly from a combination of two-, three-, and four-party maximally entangled states by local quantum operations and classical communication asymptotically). We also present some properties of the relative entropy of entanglement for those three-party …