Multipartite pure-state entanglement and the generalized GHZ states
arXiv:quant-ph/0004020 · doi:10.1103/PhysRevA.63.012308
Abstract
We show that not all 4-party pure states are GHZ reducible (i.e., can be generated reversibly from a combination of 2-, 3- and 4-party maximally entangled states by local quantum operations and classical communication asymptotically) through an example, we also present some properties of the relative entropy of entanglement for those 3-party pure states that are GHZ reducible, and then we relate these properties to the additivity of the relative entropy of entanglement.
7 pages, Revtex, type error corrected
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