Dresden 2011 – wissenschaftliches Programm
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Q: Fachverband Quantenoptik und Photonik
Q 20: Quantum Information: Concepts and Methods 3
Q 20.2: Vortrag
Dienstag, 15. März 2011, 10:45–11:00, SCH A118
Reconstructing CV-Quantum Optical States by Compressed Sensing — •Vincent Nesme1, Matthias Ohliger1, David Gross2, and Jens Eisert1 — 1Universität Potsdam, Institut für Physik und Astronomie (Haus 28) Karl-Liebknecht-Strasse 24/25 14476 Potsdam, Germany — 2ETH Zürich, Theoretische Physik, Wolfgang-Pauli-Strasse 27, 8093 Zürich, Switzerland
The reconstruction of quantum states from measurement results is a challenging task both on the experimentalist and on the post-processing side. In recent work, compressed sensing has been used to reduce the number of measurements needed to reconstruct a state with rank r in a n-dimensional Hilbert space from O(n2) to O(rn log n) where the post-processing can be done efficiently with the help of semidefinite programming. We extend this result to tackle the reconstruction of a continuous-variable (CV) state of a quantum optical system. We discuss the recovery of the Wigner function both from homodyne-measurement and photon-counting and also address the question of resistance to noise.