Local purity distillation with bounded classical communication

Understand

Local pure states are an important resource for quantum computing.

• The problem of distilling local pure states from mixed ones can be cast in an information theoretic paradigm.
• The bipartite version of this problem where local purity must be distilled from an arbitrary quantum state shared between two parties, Alice and Bob, is closely related to the problem of separating quantum and classical correlations in the state and in particular, to a measure of classical correlations called the one-way distillable common randomness.
• In Phys.