Hannover 2013 – scientific programme
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Q: Fachverband Quantenoptik und Photonik
Q 67: Quantum information: Concepts and methods V
Q 67.5: Talk
Friday, March 22, 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 Toth1,2,3 — 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 Gk. 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).