Mainz 2017 – scientific programme

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Q: Fachverband Quantenoptik und Photonik

Q 23: Quantum Information: Concepts and Methods IV

Q 23.7: Talk

Tuesday, March 7, 2017, 16:00–16:15, P 2

Compressed sensing in quantum state tomography — •Carlos Riofrio and Jens Eisert — Dahlem center for complex quantum systems, Freie Universität Berlin, 14195 Berlin, Germany

As quantum systems get closer to technological applications, the problem of identifying, certifying, and characterizing them becomes more difficult. In fact, a complete characterization of a quantum system requires a computational effort that grows exponentially with the system size. New paradigms that allow for efficient signal processing must be developed and tested in order to overcome this problem. In this talk, we argue that the compressed sensing methodology addresses this issue and present an overview of the most recent developments in quantum state tomography. We show a complete analysis based on experimental data for a 7-qubit system of trapped ions that encodes a single logical qubit in a color code, in which highly incomplete data is observed. In addition, we study the problem of model selection in quantum tomography and observe that for an appropriately chosen regime, compressed sensing is compatible with our heuristic model selection protocol.