Freiburg 2019 – wissenschaftliches Programm

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FM: Fall Meeting

FM 11: Entanglement: Many-Body States I

FM 11.2: Talk

Montag, 23. September 2019, 14:30–14:45, 2004

Characterizing Quantum States using Sector Lengths — •Nikolai Wyderka¹, Jens Siewert^2,3, and Otfried Gühne¹ — ¹Naturwissenschaftlich Technische Fakultät, Universität Siegen, Walter-Flex-Str. 3, D-57068 Siegen, Germany — ²University of the Basque Country UPV/EHU, E-48080 Bilbao, Spain — ³IKERBASQUE Basque Foundation for Science, E-48013 Bilbao, Spain

A powerful tool to study entanglement properties of multi-partite quantum states are LU invariants, and sector lengths, quantifying the amount of k-body correlations in a state, are a particularly useful subset of these invariants. These quantify, for different k, the amount of k-partite correlations in a quantum state in a basis-independent manner.

I will show how sector lengths can be used to detect different types of entanglement. Furthermore, I will highlight connections to monogamy of entanglement, limiting the entanglement between certain subgroups of the particles.