A-optimal adaptive experimental design for 1-qubit state estimation with finite data

Details A-optimal adaptive experimental design for 1-qubit state estimation with finite data A-optimal adaptive experimental design for 1-qubit state estimation with finite data

2012-03-15

arxiv.org/abs/1203.3391v1

Physics

Quantum Physics

15 pages, 7 figures

Scientific paper

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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