Rostock 2019 – scientific programme

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Q: Fachverband Quantenoptik und Photonik

Q 59: Quantum Information (Concepts and Methods) V

Q 59.4: Talk

Friday, March 15, 2019, 11:15–11:30, S HS 001 Chemie

Bounds on sector lengths in multi-qubit systems and their relation to entanglement, monogamy and representability — •Nikolai Wyderka and Otfried Gühne — Naturwissenschaftlich Technische Fakultät, Universität Siegen, Walter-Flex-Str. 3, D-57068 Siegen, Germany

In contrast to classical systems, one of the most intriguing features of multi-partite quantum systems is the fact that they may exhibit non-local correlations among multiple particles. However, in contrast to the above truism, the non-local correlations cannot be completely arbitrary as they underlie restrictions from quantum mechanics. A prominent example for these kind of restrictions, known as monogamy relations, is the Coffman-Kundu-Wootters-inequality, limiting the bipartite entanglement of one party in a three-partite state.

A powerful framework to study monogamy relations are sector lengths, a particular kind of quadratic LU-invariants of states that quantify, for different k, the amount of k-partite correlations in the state. We find new and tighter bounds on these sector lengths in multi-qubit states and highlight applications of these bounds to entanglement detection, the n-representability problem and find new monogamy relations.