Heidelberg 2015 – scientific programme
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Q: Fachverband Quantenoptik und Photonik
Q 31: Poster: Quantum Optics and Photonics II
Q 31.39: Poster
Tuesday, March 24, 2015, 17:00–19:00, C/Foyer
One qubit and three qutrits can be entangled in 11 different ways — •Christina Ritz1, Matthias Kleinmann2, and Otfried Gühne1 — 1Naturwissenschaftlich-Technische Fakultät, Universität Siegen, Germany — 2Department of Theoretical Physics, University of the Basque Country UPV/EHU, P.O. Box 644, E-48080 Bilbao, Spain
The classification of tripartite entanglement regarding the invariance under invertible SLOCC-transformations has been studied thoroughly for the case of qubits. However when dealing with higher dimensions only the case of 2x2xN has been studied in detail [1].
We present the full classification for a qubit-qutrit-qutrit system, based on a method introduced by Lamata [2], resulting in 11 classes of genuine multipartite entanglement that are not convertible under invertible SLOCC.
Additionally we study the hierachy of entanglement within 2x3x3 systems, leading to 5 classes, from which all other classes can be obtained by non-invertible local operations. Finally we discuss the generalization to the case of 2xMxN and identify the maximal M,N for which a finite number of entanglement classes can be found.
[1] A.Miyake and F.Verstraete, Phys. Rev. A 69, 012101 (2004)
[2] L.Lamata et al., Phys. Rev. A 75, 022318 (2007)