Hannover 2013 – wissenschaftliches Programm

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Q: Fachverband Quantenoptik und Photonik

Q 67: Quantum information: Concepts and methods V

Q 67.5: Vortrag

Freitag, 22. März 2013, 15:00–15:15, E 214

SU(d) squeezing and entanglement in systems of d-level particles — •Giuseppe Vitagliano¹, Philipp Hyllus¹, Zoltan Zimboras¹, Inigo Luis Egusquiza¹, and Geza Toth^1,2,3 — ¹Theoretical Physics, University of the Basque Country UPV/EHU, E-48080 Bilbao, Spain — ²IKERBASQUE, Basque Foundation for Science, E-48011 Bilbao, Spain — ³Wigner Research Centre for Physics, H-1525 Budapest, Hungary

We discuss the problem of finding inequalities useful to detect entanglement in systems of particles with a spin j higher than 1/2. We derive a set of inequalities based on the first two moments of collective quantities different from the angular momentum operators, like the su(2j+1) generators G_k. We study the states that saturate and violate the inequalities and compute the tolerance of the conditions to white noise. We compare our criteria to other entanglement conditions, such as the PPT condition and show that our criteria can detect bound entangled states. Finally, inequalities that can detect genuine k-particle entanglement are also derived.

[1] G. Vitagliano, P. Hyllus, I.L. Egusquiza, and G. Tóth, Phys. Rev. Lett. 107, 240502 (2011).