We prove that a pure entangled state of two subsystems with equal spin is equivalent to a two-mode spin-squeezed state under local operations except for a set of bipartite states with measure zero, and we provide a counterexample to the generalization of this result to two subsystems of unequal spin.
@article{arxiv.quant-ph/0501065,
title = {Equivalence between two-mode spin squeezed states and pure entangled states with equal spin},
author = {Dominic W. Berry and Barry C. Sanders},
journal= {arXiv preprint arXiv:quant-ph/0501065},
year = {2007}
}