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    Other Seminars

    OTHER SEMINARS - EXCEPTIONAL SEMINAR:<br>A geometric picture of entanglement and Bell inequalities

    by W. THIRRING (Universität Wien)

    → Europe/Zurich
    TH Auditorium (CERN)

    TH Auditorium

    CERN
    Description
    We work in the real Hilbert space Hs of Hermitian Hilbert-Schmidt operators and show that the entanglement witness which shows the maximal violation of a generalized Bell inequality (GBI) is a tangent functional to the convex set S \subset Hs of separable states. This violation equals the Euclidean distance in Hs of the entangled state to S and thus entanglement, GBI and tangent functional are only different aspects of the same geometric picture. This is explicitly illustrated in the example of two spins, where also a comparison with familiar Bell inequalities is presented.