arXiv 1605.090402016-05quant-ph

Protecting weak measurements against systematic errors

Shengshi Pang, Jose Raul Gonzalez Alonso, Todd A. Brun, Andrew N. Jordan

备注：: 9 pages, 3 figures. V2: close to the published version
发表信息：: Phys. Rev. A 94, 012329 (2016)
DOI：: 10.1103/PhysRevA.94.012329

英文摘要：

In this work, we consider the systematic error of quantum metrology by weak measurements under decoherence. We derive the systematic error of maximum likelihood estimation in general to the first-order approximation of a small deviation in the probability distribution, and study the robustness of standard weak measurement and postselected weak measurements against systematic errors. We show that, with a large weak value, the systematic error of a postselected weak measurement when the probe undergoes decoherence can be significantly lower than that of a standard weak measurement. This indicates the advantage of weak value amplification in improving the performance of parameter estimation. We illustrate the results by an exact numerical simulation of decoherence arising from a bosonic mode and compare it to the first-order analytical result we obtain.

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