Heidelberg 2015 – scientific programme
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Q: Fachverband Quantenoptik und Photonik
Q 50: Quantum Information: Concepts and Methods VII
Q 50.4: Talk
Thursday, March 26, 2015, 11:45–12:00, K/HS1
A note on the relation between partial transpose, concurrence, and negativity — •Jens Siewert1,2, Christopher Eltschka3, and Géza Tóth2,4,5 — 1Department of Physical Chemistry, University of the Basque Country UPV/EHU, E-48080 Bilbao, Spain — 2IKERBASQUE, Basque Foundation for Science, E-48013 Bilbao, Spain — 3Institute for Theoretical Physics, University of Regensburg, D-93040 Regensburg, Germany — 4Department of Theoretical Physics, University of the Basque Country UPV/EHU, E-48080 Bilbao, Spain — 5Wigner Research Centre for Physics, Hungarian Academy of Sciences, H-1525 Budapest, Hungary
Detection of entanglement in bipartite states is a fundamental task in quantum information. The first method to verify entanglement in mixed states was the partial-transpose criterion. Subsequently, numerous quantifiers for bipartite entanglement were introduced, among them concurrence and negativity. Surprisingly, these quantities are often treated as distinct or independent of each other. The aim of this contribution is to highlight the close relations between these concepts, to show the connections between seemingly independent results, and to present various estimates for the mixed-state concurrence within the same framework.