Equivalence between two-mode spin squeezed states and pure entangled states with equal spin

Abstract

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.

6 pages, no figures