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Q: Fachverband Quantenoptik und Photonik

Q 44: Quantum Information (Concepts and Methods) III

Q 44.8: Vortrag

Donnerstag, 14. März 2019, 12:15–12:30, S HS 001 Chemie

Distinguishing between statistical and systematic errors in quantum process tomography — •Sabine Wölk^1,2, Theeraphot Sriarunothai², Gouri Giri², and Christof Wunderlich² — ¹Institute for Theoretical Physics, University of Innsbruck, Innsbruck, Austria — ²Naturwissenschaftlich-Technische Fakultät, Department Physik, Universität Siegen, Siegen, Germany

It is generally assumed that every process in quantum physics can be described mathematically by a completely positive map. However, experimentally reconstructed processes are not necessarily completely positive due to statistical or systematic errors. In this talk, we introduce a test for discriminating statistical from systematic errors which is necessary to interpret experimentally reconstructed, non-completely positive maps. We discuss the significance of the test with the help of several examples given by experiments and simulations. In particular, we discuss an experimental example of initial correlations between the system to be measured and its environment that leads to an experimentally reconstructed map with negative eigenvalues. These experiments are carried out using atomic ¹⁷¹Yb⁺ ions confined in a linear Paul trap, addressed and coherently manipulated by radio frequency radiation.