N-Qubit W States are Determined by their Bipartite Marginals

Physics – Quantum Physics

Scientific paper

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RevTeX, 4+ pages, 2 figures, journal version includes an Appendix and slightly enlarged introduction and conclusions

Scientific paper

10.1103/PhysRevA.80.012319

We prove that the most general W class of N-qubit states are uniquely
determined among arbitrary states (pure or mixed) by just their bipartite
reduced density matrices. Moreover, if we consider only pure states, then (N-1)
of them are shown to be sufficient.

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