Hannover 2013 – scientific programme

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Q: Fachverband Quantenoptik und Photonik

Q 13: Quantum information: Concepts and methods I

Q 13.8: Talk

Monday, March 18, 2013, 15:45–16:00, E 214

SL-invariant measures in higher local dimensions — •Andreas Osterloh — Theoretische Physik (AG Schützhold), Universität Duisburg-Essen, Lotharstrasse 1, 47048 Duisburg, Germany.

We write the SL-invariant operator, the determinant, in terms of antilinear expectation values of the local SL(d,C), thereby extending the mechanism for qubits to qudits. We outline the method on spin 1, and spin 3/2 explicitely, and generalize the method to higher spin. There is an odd-even discrepancy: whereas for half odd integer spin a situation similar to that observed in qubits is observed, for integer spin the outcome is an asymmetric invariant of doubled polynomial degree. The corresponding conditions for genuinely entangled spins carry over directly from the qubit case.