1304.6275 (Ri Qu et al.)

No hypergraph state can be converted into a W state under local
unitaries    [PDF]

Ri Qu, Yi-ping Ma, Bo Wang, Yan-ru Bao

We investigate the properties of multipartite entanglement of hypergraph states and W states using an approach in [Phys. Rev. A 79, 052304 (2009)]. We show that (i) all hypergraph states are locally maximally entanglable (LME); and (ii) a W state of n qubits is not LME. Furthermore, two conclusions (i) and (ii) reveal that no hypergraph state of n qubits can be converted into to the W state under local unitary transformations.

View original: http://arxiv.org/abs/1304.6275