Tobias Moroder: Detection of systematic errors in quantum experiments

Abstract

When systematic errors are ignored in an experiment, the subsequent analysis of its results becomes questionable. We develop tests to identify systematic errors in experiments where only a finite amount of data is recorded and apply these tests to tomographic data taken in an ion-trap experiment. We put particular emphasis on quantum state tomography and present two detection methods: the first employs linear inequalities while the second is based on the generalized likelihood ratio.

joint work with: Matthias Kleinmann, Philipp Schindler, Thomas Monz, Otfried Gühne, Rainer Blatt