Threshold quantum distillation

Quantum distillation is the task of concentrating quantum correlations present in N imperfect copies using free operations by involving all P the parties sharing the quantum correlation. We present a threshold quantum distillation task where the same objective is achieved but using a lesser number of parties (K<P). In particular, we give exact local filtering operations by the participating parties sharing a high-dimension multipartite entangled state to distil the perfect quantum correlation. Later, we bridge a connection between threshold quantum entanglement distillation and quantum steering distillation.