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Qubit quantum state tomography. (English) Zbl 1092.81511

Paris, Matteo G. A. (ed.) et al., Quantum state estimation. Berlin: Springer (ISBN 3-540-22329-0/hbk). Lecture Notes in Physics 649, 113-145 (2004).
Summary: Quantum state tomography is the process by which an unkown quantum state is completely characterized. This chapter outlines the theoretical basis for quantum tomography, its experimental implementation, the use of the maximum likelihood technique to account for measurement uncertainties, and the analysis of error. Each of these topics are first analyzed in the simplest case, a single qubit, and then extended to the general case. Throughout the chapter numerous examples using photon polarization illustrate these concepts.
For the entire collection see [Zbl 1084.81004].

MSC:

81P68 Quantum computation
93E10 Estimation and detection in stochastic control theory
62H12 Estimation in multivariate analysis
62N02 Estimation in survival analysis and censored data
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