Stuttgart 2012 – scientific programme

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Q: Fachverband Quantenoptik und Photonik

Q 35: Poster 2

Q 35.42: Poster

Wednesday, March 14, 2012, 16:30–19:00, Poster.I+II

Comparison of methods for quantum state tomography — •Phuc Thanh Luu, Hermann Kampermann, and Dagmar Bruss — Heinrich-Heine-Universität, Institut für theoretische Physik III, Universitätstr. 1, 40225 Düsseldorf

Estimation of quantum states is a basic task in quantum information science. The major problem is that the number of measurements scales exponentially with respect to the number of particles. Several methods can be used to extract information about the quantum state with a limited number of measurements, e.g. Maximum Likelihood Estimation (1), Hedged Maximum Likelihood Estimation (2), Compressed Sensing (3), and Bayesian Mean Estimation (4). Here we do a comparison between these methods and show advantages/disadvantages as well as open problems.

References:
(1) J. Řeháček, Z. Hradil, and M. Ježek. Phys. Rev. A 63, 040303 (2001).
(2) R. Blume-Kohout, Phys. Rev. Lett 105, 200504 (2010).
(3) D. Gross et al., Phys. Rev. Lett. 105, 150401 (2010).
(4) R. Blume-Kohout, New J. Phys. 12, 043034 (2010).