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arXiv · 1505.07199

Physical description of statistical hypothesis testing for a weak-value amplification experiment using a birefringent crystal

Yuki Susa
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Abstract

We investigate the weak measurement experiment demonstrated by Ritchie et al. [N. W. M. Ritchie, J. G. Story, and R. G. Hulet, Phys. Rev. Lett. 66, 1107 (1991)] from the viewpoint of the statistical hypothesis testing for the weak-value amplification proposed by Susa and Tanaka [Y. Susa and S. Tanaka, Phys. Rev. A 92, 012112 (2015)]. We conclude that the weak-value amplification is a better method to determine whether the crystal used in the experiment is birefringent than the measurement without postselection, when the angles of two polarizers are almost orthogonal. This result gives a physical description and intuition of the hypothesis testing and supports the experimental usefulness of the weak-value amplification.

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Yuki Susa. 2015-08-21. Physical description of statistical hypothesis testing for a weak-value amplification experiment using a birefringent crystal. https://doi.org/10.1103/physreva.92.022118

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