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The little we know about LOCC

Tuesday 3rd September 2013 - 15:30 to 16:30
INI Seminar Room 1
Co-authors: Andrew Childs (University of Waterloo), Eric Chitambar (Southern Illinois University), Laura Mancinska (University of Waterloo), Maris Ozols (University of Waterloo), Andreas Winter (ICREA and Autonomus University of Barcelona)

Consider the subset of multipartite quantum operations that can be implemented when the parties are restricted to using local quantum operations and classical communication (LOCC). We summarize recent results concerning LOCC -- in particular, what extra information processing tasks can be implemented (or not) if unlimited rounds of communication and vanishing error is allowed. We discuss extensions to the nonlocality without entanglement phenomenon.

Joint works with Andrew Childs, Eric Chitambar, Laura Mancinska, Maris Ozols, Andreas Winter (plus additional results due to Matthias Kleinmann, Hermann Kampermann, Dagmar Bruss, Wei Cui, Hoi-Kwong Lo, Runyao Duan, and Min-Hsiu Hsieh)

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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons