Multi-User Distillation of Common Randomness and Entanglement from Quantum States

Understand

We construct new protocols for the tasks of converting noisy multipartite quantum correlations into noiseless classical and quantum ones using local operations and classical communications (LOCC).

• For the former, known as common randomness (CR) distillation, two new lower bounds on the "distillable common randomness", an operational measure of the total genuine (classical) correlations in a quantum state, are obtained.
• Our proof relies on a generalization of communication for omniscience (CO) [Csiszar and Narayan, IEEE Trans.
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