Conditions for multipartite continuous-variable entanglement
Evgeny V Shchukin, W. Vogel · Physical Review A · 2006
Necessary and sufficient observable conditions for the non-negativity of all partial transpositions of multimode quantum states are derived. The result is a hierarchy of inequalities for minors in terms of moments of the given state. The violation of any inequality is a sufficient condition for entanglement. Full entanglement can be certified for a manifold of multimode quantum states. A MATHEMATICA package is given for a systematic test of the hierarchy of conditions.