Duality for monogamy of entanglement

@inproceedings{Bandyopadhyay2006DualityFM,
  title={Duality for monogamy of entanglement},
  author={Somshubhro Bandyopadhyay and Gilad Gour and Barry C. Sanders},
  year={2006}
}
We establish duality for monogamy of entanglement: whereas monogamy of entanglement inequalities provide an upper bound for bipartite sharability of entanglement in a multipartite system, we prove that the same quantity provides a \emph{lower} bound for distribution of bipartite entanglement in a multipartite system. Our theorem for monogamy of entanglement is used to establish relations between bipartite entanglement that separate one qubit from the rest vs separating two qubits from the rest.