Mainz 2017 – wissenschaftliches Programm

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Q: Fachverband Quantenoptik und Photonik

Q 41: Quantum Information: Concepts and Methods VI

Q 41.7: Vortrag

Donnerstag, 9. März 2017, 12:45–13:00, P 2

Distribution of entanglement in arbitrary finite dimensionality — •Christopher Eltschka¹ and Jens Siewert^2,3 — ¹Institut für Theoretische Physik, Universität Regensburg, D-93040 Regensburg, Germany — ²Departamento de Química Física, Universidad del País Vasco UPV/EHU, E-48080 Bilbao, Spain — ³IKERBASQUE Basque Foundation for Science, E-48013 Bilbao, Spain

While the quantitative theory of bipartite entanglement is developed quite far, much less is known regarding multipartite entanglement. Moreover, many of the results on multipartite entanglement are specific to qubit systems. An important example that illustrates this point is the distribution of entanglement (as well as other quantum correlations), often termed as 'monogamy of entanglement'. Here, essentially all of the quantitative results are established only for qubits, although the concept is believed to be valid in general.

In this contribution we present exact results for an arbitrary number of parties of arbitrary finite Hilbert space dimensions. It turns out that, by generalizing the multi-qubit case, a new concurrence-like entanglement monotone can be introduced. We show that this monotone is closely related to the distribution of bipartite entanglement across the multi-party system.