Evaluation of convex roof entanglement measures

Understand

We show a powerful method to compute entanglement measures based on convex roof constructions.

• In particular, our method is applicable to measures that, for pure states, can be written as low order polynomials of operator expectation values.
• We show how to compute the linear entropy of entanglement, the linear entanglement of assistance, and a bound on the dimension of the entanglement for bipartite systems.
• We discuss how to obtain the convex roof of the three-tangle for three-qubit states.