Extended validity of weak measurement

doi:10.1088/1674-1056/ab8622

Abstract We introduce a modified weak value that is related to the mean value of input meter variable. With the help of the modified weak value, the validity conditions for various modified versions of weak value formalism are investigated, in terms of the dependence of the pointer shift on the mean value of the input meter. The weak value formalism, often used to represent the pointer shift, with the modified weak value is of great use in simplifying calculations and giving guidance of practical experiments whenever the mean value of the input meter variable is nonzero. The simulation in a qubit system is presented and coincident well with our theoretical result.

Keywords: weak measurement quantum measurement modified weak value

Received: 08 November 2019
Revised: 05 March 2020
Accepted manuscript online:

PACS:	42.50.Tx	(Optical angular momentum and its quantum aspects)
	03.65.Ta	(Foundations of quantum mechanics; measurement theory)
	42.50.Xa	(Optical tests of quantum theory)

Fund: Project supported by the National Key R&D Program of China (Grant No. 2017YFA0305200), the National Natural Science Foundation of China (Grant Nos. 11674234 and 11605205), the Natural Science Foundation of Chongqing, China (Grant Nos. cstc2015jcyjA00021 and cstc2018jcyjAX0656), Innovation Project of Sichuan University, China (Grant No. 2018SCUH0021), the Youth Innovation Promotion Association, Chinese Academy of Sciences (Grant No. 2015317), the Entrepreneurship and Innovation Support Program for Chongqing Overseas Returnees, China (Grant Nos. cx2017134 and cx2018040), the Fund of CAS Key Laboratory of Microscale Magnetic Resonance, and the Fund of CAS Key Laboratory of Quantum Information, China.

Corresponding Authors: Changliang Ren, Zhiyou Zhang
E-mail: renchangliang@cigit.ac.cn;zhangzhiyou@scu.edu.cn

Cite this article:

Jiangdong Qiu(邱疆冬), Changliang Ren(任昌亮), Zhaoxue Li(李兆雪), Linguo Xie(谢林果), Yu He(何宇), Zhiyou Zhang(张志友), Jinglei Du(杜惊雷) Extended validity of weak measurement 2020 Chin. Phys. B 29 064214

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