Mainz 2017 – scientific programme
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Q: Fachverband Quantenoptik und Photonik
Q 8: Quantum Information: Concepts and Methods II
Q 8.6: Talk
Monday, March 6, 2017, 18:15–18:30, P 2
Symmetries of multi-partite quantum systems — Markus Grassl1 and •Robert Zeier2 — 1Max-Planck-Institut für die Physik des Lichts, Staudtstraße 2, 91058 Erlangen, Germany — 2Department Chemie, Technische Universität München, Lichtenbergstraße 4, 85747 Garching, Germany
Multi-partite quantum systems exhibit an intricate structure not explained by properties of their subsystems alone. We study the plethora of emerging symmetries that are invariant under local operations. We enumerate these symmetries by computing Hilbert series and also explore connections to so-called Kronecker coefficients. We particularly focus on the case of three-qubit mixed states. Our work provides the foundation for a better understanding of non-local quantum states.