Accuracy of quantum-state estimation utilizing Akaike's information criterion

Details Accuracy of quantum-state estimation utilizing Akaike's information criterion Accuracy of quantum-state estimation utilizing Akaike's information criterion

2003-06-12

arxiv.org/abs/quant-ph/0306083v1

Phys. Rev. A 68, 022314 (2003)

Physics

Quantum Physics

14 pages, 8 figures, extended version of quant-ph/0209074, to appear in Phys. Rev. A

Scientific paper

10.1103/PhysRevA.68.022314

We report our theoretical and experimental investigations into errors in quantum state estimation, putting a special emphasis on their asymptotic behavior. Tomographic measurements and maximum likelihood estimation are used for estimating several kinds of identically prepared quantum states (bi-photon polarization states) produced via spontaneous parametric down-conversion. Excess errors in the estimation procedures are eliminated by introducing a new estimation strategy utilizing Akaike's information criterion. We make a quantitative comparision between the errors of the experimentally estimated states and their asymptotic lower bounds, which are derived from the Cram\'{e}r-Rao inequality. Our results reveal influence of entanglement on the errors in the estimation. An alternative measurement strategy employing inseparable measurements is also discussed, and its performance is numerically explored.

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