Takanori Sugiyama, Peter S. Turner, Mio Murao
We consider 1-qubit mixed quantum state estimation by adaptively updating measurements according to previously obtained outcomes and measurement settings. Updates are determined by the A-optimality criterion, known in the classical theory of experimental design and applied here to quantum state estimation. In general, A-optimization is a nonlinear minimization problem, however we find an analytic solution for 1-qubit state estimation using projective measurements, reducing computational effort. We compare numerically two adaptive and two nonadaptive schemes, and show that the A-optimality criterion gives more precise estimates than standard quantum tomography.
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http://arxiv.org/abs/1203.3391
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