Hamburg 2009 – wissenschaftliches Programm

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Q: Fachverband Quantenoptik und Photonik

Q 56: Poster IV

Q 56.37: Poster

Donnerstag, 5. März 2009, 16:30–19:00, VMP 9 Poster

Minimizing the statistical error in measurements of witness operators — •Bastian Jungnitsch, Sönke Niekamp, Matthias Kleinmann, and Otfried Gühne — Institut für Quantenoptik und Quanteninformation, Technikerstraße 21a, 6020 Innsbruck, Austria

Witness operators are a well-established tool for the detection of entanglement in quantum information theory. Commonly, one uses witness operators that are optimal with respect to the set of entangled states they detect.

We consider an experimental situation in which one has some knowledge of the prepared state and aims at proving the entanglement of this state. In particular, we deal with experiments that provide low statistics, i.e. small event rates.

To allow for the detection of entanglement in such a case with high certainty, it is of advantage to decrease the statistical error involved in the measurement of the witness operator. We investigate different models of calculating this error in order to minimize it.