Dresden 2011 – wissenschaftliches Programm
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Q: Fachverband Quantenoptik und Photonik
Q 7: Quantum Information: Concepts and Methods 1
Q 7.8: Vortrag
Montag, 14. März 2011, 12:15–12:30, SCH A118
Entanglement of four-qubit mixed states quantified with polynomial invariants — •Christopher Eltschka1, Oliver Viehmann2, and Jens Siewert3,4 — 1Institut für Theoretische Physik, Universität Regensburg, Regensburg, Germany — 2Physics Department, ASC, and CeNS, Ludwig-Maximilians-Universität, München, Germany — 3Departamento de Química Física, Universidad del País Vasco - Euskal Herriko Unibertsitatea, Bilbao, Spain — 4Ikerbasque, Basque Foundation for Science, Bilbao, Spain
Recent work [1, 2] underlines the importance of polynomial SL invariants for classification and quantification of multipartite entanglement. For mixed states, the corresponding monotones are defined through convex-roof extension. In addition to the difficulties of calculating the convex roof, starting with four qubits there exists a continuum of monotones to choose from.
We study the mixed state entanglement of GHZ diagonal states of four
qubits by calculating selected monotones. We discuss the implications
for the classification of mixed state entanglement and compare with
other criteria for entanglement in multipartite mixed states [3].
[1] Gour G., Phys. Rev. Lett. 105, 190504 (2010)
[2] Viehmann O., Eltschka C. and Siewert J., unpublished
[3] Gühne O. and Seevinck M., New J. Phys. 12, 053002 (2010)