Heisenberg-scaling measurement of the single-photon Kerr non-linearity using mixed states

Geng Chen, Nati Aharon, Yong-Nan Sun, Zi-Huai Zhang, Wen-Hao Zhang, He De-Yong, Jian-Shun Tang, Xiao-Ye Xu, Yaron Kedem (), Chuan-Feng Li () and Guang-Can Guo
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Geng Chen: University of Science and Technology of China
Nati Aharon: The Hebrew University of Jerusalem
Yong-Nan Sun: University of Science and Technology of China
Zi-Huai Zhang: University of Science and Technology of China
Wen-Hao Zhang: University of Science and Technology of China
He De-Yong: University of Science and Technology of China
Jian-Shun Tang: University of Science and Technology of China
Xiao-Ye Xu: University of Science and Technology of China
Yaron Kedem: AlbaNova University Center, Stockholm University
Chuan-Feng Li: University of Science and Technology of China
Guang-Can Guo: University of Science and Technology of China

Nature Communications, 2018, vol. 9, issue 1, 1-6

Abstract: Abstract Improving the precision of measurements is a significant scientific challenge. Previous works suggest that in a photon-coupling scenario the quantum fisher information shows a quantum-enhanced scaling of N2, which in theory allows a better-than-classical scaling in practical measurements. In this work, utilizing mixed states with a large uncertainty and a post-selection of an additional pure system, we present a scheme to extract this amount of quantum fisher information and experimentally attain a practical Heisenberg scaling. We performed a measurement of a single-photon’s Kerr non-linearity with a Heisenberg scaling, where an ultra-small Kerr phase of ≃6 × 10−8 rad was observed with a precision of ≃3.6 × 10−10 rad. From the use of mixed states, the upper bound of quantum fisher information is improved to 2N2. Moreover, by using an imaginary weak-value the scheme is robust to noise originating from the self-phase modulation.

Date: 2018
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DOI: 10.1038/s41467-017-02487-z

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