We report an experimental realization of an adaptive quantum state tomography protocol. Our method takes advantage of a Bayesian approach to statistical inference and is naturally tailored for adaptive strategies. For pure states, we observe close to N^-1 scaling of infidelity with overall number of registered events, while the best nonadaptive protocols allow for N^-1/2 scaling only. Experiments are performed for polarization qubits, but the approach is readily adapted to any dimension.
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Kravtsov et al. (2013) studied this question.