Heidelberg 2015 – scientific programme

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Q: Fachverband Quantenoptik und Photonik

Q 26: Quantum Information: Concepts and Methods IV

Q 26.7: Talk

Tuesday, March 24, 2015, 16:00–16:15, K/HS1

Entanglement of weighted hypergraph states — •Frank Steinhoff and Otfried Gühne — Universität Siegen, Walter-Flex-Straße 3, D-57068, Siegen, Germany

Recently the properties of so called hypergraph states were studied in detail [1], enabling a full classification of the equivalence under local unitary operations up to four qubits and the construction of new locality/non-contextuality inequalities. In this work we extend some of these results to the more general class of weighted hypergraph states, also known as LME states [2], obtaining new equivalences beyond the Pauli group action. Moreover, it is shown how to create weighted N qubit hypergraphs from N+1 qubit standard hypergraphs by SLOCC.

[1] O. Gühne, M. Cuquet, F.E.S. Steinhoff, T. Moroder, M. Rossi, D. Bruss, B. Kraus, C. Machiavello, J. Phys. A: Math. Theor. 47, 335303 (2014).

[2] C. Kruszynska, B. Kraus, Phys. Rev. A 79, 052304 (2009).