Triangle (polygamy) inequalities for mixed states

Ascertain whether the triangle-based polygamy relations (e.g., E^α(X|YZ) ≤ E^α(Y|XZ)+E^α(Z|XY)) hold for mixed multipartite quantum states, extending the pure-state results.

Background

The paper promotes triangle relations as a better expression of polygamy than assistance-based measures and proves them for pure states.

The authors note that validity for mixed states remains open.