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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.