A resource theory of entanglement with a unique multipartite maximally entangled state

Understand

Entanglement theory is formulated as a quantum resource theory in which the free operations are local operations and classical communication (LOCC).

• This defines a partial order among bipartite pure states that makes it possible to identify a maximally entangled state, which turns out to be the most relevant state in applications.
• However, the situation changes drastically in the multipartite regime.
• Not only do there exist inequivalent forms of entanglement forbidding the existence of a unique maximally entangled state, but recent results have shown that LOCC induces a trivial ordering: almost all pure entangled multipartite states are incomparable (i.e.