Berlin 2014 – scientific programme
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Q: Fachverband Quantenoptik und Photonik
Q 16: Poster: Quantum information, micromechanical oscillators, matter wave optics, precision measurements and metrology
Q 16.3: Poster
Monday, March 17, 2014, 16:30–18:30, Spree-Palais
On the SLOCC-classification of multilevel tripartite entanglement — •Christina Ritz1, Matthias Kleinmann1,2, and Otfried Gühne1 — 1Naturwissenschaftlich-Technische Fakultät, Universität Siegen, Germany — 2Departamento de Matematica, Universidade Federal de Minas Gerais, Belo Horizonte, Brazil
The classification of entanglement regarding their invariance under SLOCC-transformations for tripartite systems has been studied thoroughly for the case of qubits whereas when dealing with higher dimensions only the case of 2× 2× N has been studied in detail [1].
We present a classification for the qubit-qutrit-qutrit (2× 3× 3) case, based on a finite classification due to Lamata [2]. We discuss possible generalizations to the case of 2× N× N and difficulties that occur in the case of three qutrits.
[1] A.Miyake and F.Verstraete, Phys. Rev. A 69, 012101 (2004)
[2] L.Lamata et al., Phys. Rev. A 75, 022318 (2007)