Rostock 2019 – scientific programme
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Q: Fachverband Quantenoptik und Photonik
Q 11: Quantum Information (Concepts and Methods) I
Q 11.2: Talk
Monday, March 11, 2019, 14:15–14:30, S HS 001 Chemie
Distribution of N-party correlations — •Christopher Eltschka1 and Jens Siewert2,3 — 1Institut für Theoretische Physik, Universität Regensburg, D-93040 Regensburg, Germany — 2University of the Basque Country UPV/EHU, E-48080 Bilbao, Spain — 3IKERBASQUE Basque Foundation for Science, E-48013 Bilbao, Spain
One of the peculiar features of quantum mechanics is that a generic pure multipartite state is not completely described by the states of its subsystems.
The Bloch representation, that is an expansion of the state in terms of a local matrix basis, allows for a clean separation of multipartite features based on the number of parties involved.
When doing that separation, a natural question is how much “weight” the state has in its k-partite features (the “k-sector”) [1,2], or more precisely, what is the total Hilbert-Schmidt length of all terms that act nontrivially on exactly k parties.
A particularly interesting question is how this “sector distribution” correlates with the entanglement features of the state. It turns out that entanglement properties in general do not depend on a single sector (such as, e.g., the N-body sector), but on the entire sector distribution.
We present results regarding the sector distribution demonstrating that its relation to entanglement is not always what one might intuitively expect.
[1] Tran, Daki, Laskowski, Paterek, Phys. Rev. A 94, 042302 (2016)
[2] Huber, Gühne, Siewert, Phys. Rev. Lett. 118, 200502 (2017)