Multipartite pure-state entanglement and the generalized Greenberger-Horne-Zeilinger states
- 12 December 2000
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 63 (1) , 012308
- https://doi.org/10.1103/physreva.63.012308
Abstract
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 pure states that are GHZ reducible, and then we relate these properties to the additivity of the relative entropy of entanglement.Keywords
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