Optimal phase estimation and square root measurement

Details Optimal phase estimation and square root measurement Optimal phase estimation and square root measurement

2000-11-14

arxiv.org/abs/quant-ph/0011057v1

Physics

Quantum Physics

Latex, 5 figures

Scientific paper

10.1088/0305-4470/34/35/327

We present an optimal strategy having finite outcomes for estimating a single parameter of the displacement operator on an arbitrary finite dimensional system using a finite number of identical samples. Assuming the uniform {\it a priori} distribution for the displacement parameter, an optimal strategy can be constructed by making the {\it square root measurement} based on uniformly distributed sample points. This type of measurement automatically ensures the global maximality of the figure of merit, that is, the so called average score or fidelity. Quantum circuit implementations for the optimal strategies are provided in the case of a two dimensional system.

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