Heidelberg 2015 – scientific programme

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Q: Fachverband Quantenoptik und Photonik

Q 35: Quantum Information: Concepts and Methods V

Q 35.5: Talk

Wednesday, March 25, 2015, 12:00–12:15, K/HS1

Evaluation of convex roof entanglement measures — •Géza Tóth^1,2,3, Tobias Moroder⁴, and Otfried Gühne⁴ — ¹Theoretical Physics, University of the Basque Country UPV/EHU, E-48080 Bilbao, Spain — ²IKERBASQUE, Basque Foundation for Science, E-48011 Bilbao, Spain — ³Wigner Research Centre for Physics, H-1525 Budapest, Hungary — ⁴Universität Siegen, Walter-Flex-Str. 3, 57068 Siegen, Germany

We show a powerful method to compute entanglement measures based on convex roof constructions. In particular, our method is applicable to measures that, for pure states, can be written as low order polynomials of operator expectation values. We show how to compute the linear entropy of entanglement, the linear entanglement of assistance, and a bound on the dimension of the entanglement for bipartite systems. We discuss how to obtain the convex roof of the three-tangle for three-qubit states. We also show how to calculate the linear entropy of entanglement and the quantum Fisher information based on partial information or device independent information. We demonstrate the usefulness of our method by concrete examples