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Heidelberg 2015 – scientific programme

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Q: Fachverband Quantenoptik und Photonik

Q 31: Poster: Quantum Optics and Photonics II

Q 31.40: Poster

Tuesday, March 24, 2015, 17:00–19:00, C/Foyer

Evaluation of the quantumness of spin systems — •Fabian Bohnet-Waldraff1, Olivier Giraud2, and Daniel Braun11Institut für theoretische Physik, Universität Tübingen, 72076 Tübingen, Germany — 2LPTMS, CNRS and Université Paris-Sud, UMR 8626, Bât. 100, 91405 Orsay, France

The quantumness of a single spin j state can be defined as the distance to the convex hull of classical, i.e. SU(2) coherent, spin states [1]. This renders quantumness for a pure, symmetric tensor product of spin-1/2 states essentially equivalent to geometric entanglement, which is based on the overlap with separable states. Recently, a tensor representation of spin systems was introduced that generalizes the Bloch sphere picture to larger spins [2].

We investigate the connection between the properties of these tensors and the quantumness of the underlying spin state, employing new tools from the spectral theory of symmetric tensors.
[1] O. Giraud, P. Braun, and D. Braun, New Journal of Physics 12, 063005 (2010).

[2] O. Giraud, D. Braun, D. Baguette, T. Bastin, and J. Martin, arXiv:1409.1106 (2014).

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