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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.
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Shashank Gupta, Carlos Cid, William John Munro, "Threshold quantum distillation," Proc. SPIE 13148, Quantum Communications and Quantum Imaging XXII, 131480H (4 October 2024); https://doi.org/10.1117/12.3034544