Physical description of statistical hypothesis testing for a weak-value amplification experiment using a birefringent crystal
arXiv:1505.07199 · doi:10.1103/PhysRevA.92.022118
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.
6 pages, 2 figure
References in corpus (6)
- Ultrasensitive Beam Deflection Measurement via Interferometric Weak Value Amplification
- Complex weak values in quantum measurement
- Quantum sensors based on weak-value amplification cannot overcome decoherence
- Weak-value amplification: state of play
- Comment on "Weak value amplification is suboptimal for estimation and detection"
- Statistical hypothesis testing by weak-value amplification: Proposal and evaluation