Simplifying Monotonicity Conditions for Entanglement Measures
Simplifying Monotonicity Conditions for Entanglement Measures
We show that for a convex function the following, rather modest conditions, are equivalent to monotonicity under local operations and classical communication. The conditions are: (i) invariance under local unitaries, (ii) invariance under adding local ancilla in arbitrary state (iii) on mixtures of states possessing local orthogonal flags the function …