Hannover 2013 – scientific programme
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Q: Fachverband Quantenoptik und Photonik
Q 33: Quantum information: Concepts and methods II
Q 33.6: Talk
Tuesday, March 19, 2013, 15:15–15:30, E 214
Progress on compressed sensing tomography — •Carlos Riofrio1, Steven T. Flammia2, David Gross3, Yi-Kai Liu4, and Jens Eisert1 — 1Dahlem Center for Complex Quantum Systems, Freie Universität Berlin, Germany — 2School of Physics, University of Sydney — 3Institute of Physics, University of Freiburg, Germany — 4National Institute of Standards and Technology, Gaithersburg, MD, USA
Quantum tomography allows us to estimate the state of a quantum system by measuring different observables on identically prepared realizations. This is a time-consuming task that requires a large number of measurements. In practice, however, one is usually concerned with estimating the state of systems that are well described by pure or almost pure states, which are represented by fewer parameters than arbitrary states. In this context, special interest has been growing to develop more efficient methods to address system identification when the states are generically described by low rank density matrices. Such techniques, commonly known as compressed sensing, provably accomplish this task under the low rank assumption. In this talk, I will report on recent progress of the novel tomographic technique of compressed sensing and give examples of its application.