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No-Local-Broadcasting Theorem for Multipartite Quantum Correlations

No-Local-Broadcasting Theorem for Multipartite Quantum Correlations

We prove that the correlations present in a multipartite quantum state have an operational quantum character even if the state is unentangled, as long as it does not simply encode a multipartite classical probability distribution. Said quantumness is revealed by the new task of local broadcasting, i.e., of locally sharing …