Hannover 2010 – scientific programme

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Q: Fachverband Quantenoptik und Photonik

Q 44: Quantum Information: Concepts and Methods III

Q 44.1: Talk

Thursday, March 11, 2010, 10:30–10:45, E 214

Maximally entangled states of polynomial SL(2,C)-invariant entanglement measures — •Andreas Osterloh¹ and Jens Siewert² — ¹FB Physik, Universität Duisburg-Essen, Lotharstrasse 1, 47048 Duisburg, Germany. — ²Departamento de Química Física, Universidad del País Vasco - Euskal Herriko Unibertsitatea, Apdo. 644, 48080 Bilbao, Spain

Recently, a method for constructing SL(2,C)-invariant multipartite entanglement measures has been described for qubits by the authors [1]. These measures are particularly interesting since they are non-vanishing only for the non-zero SLOCC entanglement class as defined by Verstraete and coworkers [2]. Here, a detailed analysis is presented for those (maximally) entangled states states detected by thus-constructed polynomial SL-invariants. The analysis leads to the notion of (irreducibly) balanced states, which also proves to be tightly connected with an SLOCC classification of entanglement.

[1] A. Osterloh and J. Siewert, Phys. Rev. A 72, 012337 (2005); –"– , Int. J. Quant. Inf. 4 531 (2006).

[2] F. Verstraete, J. Dehaene, and B. D. Moor, Phys. Rev. A 68, 012103 (2003).