Hannover 2016 – wissenschaftliches Programm
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Q: Fachverband Quantenoptik und Photonik
Q 18: Quantum Information: Concepts and Methods III
Q 18.5: Vortrag
Dienstag, 1. März 2016, 12:00–12:15, e214
Entanglement in qudit hypergraph states — •Christina Ritz1, Frank Steinhoff2, Nikolai Miklin1, and Otfried Gühne1 — 1Naturwissenschaftlich Technische Fakultät, Universität Siegen, Walter-Flex-Str. 3, D-57068 Siegen, Germany — 2Instituto de Física, Universidade Federal de Goiás, 74001-970, Goiânia, Goiás, Brazil
Hypergraph states form a class of multipartite states, where the free parameters are reduced by restrictions on the initial state and the allowed entangling operations. Within this framework the study of multipartite entanglement regarding SLOCC- and LU-equivalence classes has raised interest in the field of hypergraph states for qubits. In this work, we generalize the class of hypergraph states to multipartite systems of arbitrary dimension by means of discrete phase-space constructions. For uniform hypergraphs a complete SLOCC classification is obtained in terms of the greatest common divisor hierarchy. The special case of tripartite systems is analyzed in detail, resulting in a full classification for prime dimension and dimension four. In addition to the local creation of (hyper)edges from existing ones connecting the same or more vertices, a new feature, namely the creation from less vertices, appears for non-prime dimensions.