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The weak measurement proposed by Aharonov and his colleagues extracts information of a physical quantity of the system by the post selection as the shifts of the argument of the probe wavefunction. The shift is called the weak value and is…

Quantum Physics · Physics 2012-05-14 Yuki Susa , Yutaka Shikano , Akio Hosoya

By choosing more orthogonality between pre-selection and post-selection states, one can significantly improve the sensitivity in the general optical quantum metrology based on the weak-value amplification (WVA) approach. However, increasing…

The technical merits of weak value amplification techniques are analyzed. We consider models of several different types of technical noise in an optical context and show that weak value amplification techniques (which only use a small…

Optics · Physics 2016-03-01 Andrew N. Jordan , Julián Martínez-Rincón , John C. Howell

Due to the reduced probability of successful post-selection, the weak-value amplification seems to be unavailable for the parameter-estimation. Here, we show theoretically that, some effects due to the weak interactions present only in the…

Quantum Physics · Physics 2015-01-23 Miao Zhang

In a quantum-noise limited system, weak-value amplification using post-selection normally does not produce more sensitive measurements than standard methods for ideal detectors: the increased weak value is compensated by the reduced power…

Quantum Physics · Physics 2021-06-09 Courtney Krafczyk , Andrew N. Jordan , Michael E. Goggin , Paul G. Kwiat

Weak-value amplification (WVA) provides a way for amplified detection of a tiny physical signal at the expense of a lower detection probability. Despite this trade-off, due to its robustness against certain types of noise, WVA has…

Quantum Physics · Physics 2022-02-09 Yosep Kim , Seung-Yeun Yoo , Yoon-Ho Kim

The application of postselection to a weak quantum measurement leads to the phenomenon of weak values. Expressed in units of the measurement strength, the displacement of a quantum coherent measuring device is ordinarily bounded by the…

Quantum Physics · Physics 2014-03-10 George C. Knee , Erik M. Gauger

Weak values arise in quantum theory when the result of a weak measurement is conditioned on a subsequent strong measurement. The majority of the trials are discarded, leaving only very few successful events. Intriguingly those can display a…

Quantum Physics · Physics 2016-05-19 George C. Knee , Joshua Combes , Christopher Ferrie , Erik M. Gauger

Achieving higher sensitivity is an earnest purpose for precision metrology. As a response to this goal, the weak value amplification approach has been developed for measuring ultra-small physical effects, realizing sensitivity that had…

Quantum Physics · Physics 2019-07-24 Jingzheng Huang , Yanjia Li , Chen Fang , Hongjing Li , Guihua Zeng

In a weak measurement with post-selection, a measurement value, called the weak value, can be amplified beyond the eigenvalues of the observable. However, there are some controversies whether the weak value amplification is practically…

Quantum Physics · Physics 2015-09-30 Atsushi Nishizawa

The weak-value-amplification (WVA) technique has been extensively considered and debated in the field of quantum precision measurement, largely owing to the reduced Fisher information caused by the low probability of successful…

Quantum Physics · Physics 2023-09-26 Yingxin Liu , Lupei Qin , Xin-Qi Li

A new weak measurement procedure is introduced for finite samples which yields accurate weak values that are outside the range of eigenvalues and which do not require an exponentially rare ensemble. This procedure provides a unique…

Quantum Physics · Physics 2009-11-13 Jeff Tollaksen

By assuming that the weak value is real, Ferrie and Combes render their result inapplicable to weak measurement experiments which are aimed at enhancing precision.

Quantum Physics · Physics 2014-02-07 Yaron Kedem

Recently, weak value $\rm A_w$ derived in the pre- and post-selected weak measurement has been shown to be powerful in measuring minute physical effects. In principle, the decrease in the post-selection probability will increase the…

Quantum Physics · Physics 2021-11-12 Jing-Hui Huang , Xue-Ying Duan , Guang-Jun Wang , Xiang-Yun Hu

The weak value exhibits numerous intriguing characteristics, such as values outside the operator spectrum, leading to unexpected phenomena. Nevertheless, the measurement protocol used for measuring the weak value has been the subject of an…

Quantum Physics · Physics 2025-11-17 Zohar Schwartzman-Nowik , Dorit Aharonov , Eliahu Cohen

We present a parameter estimation technique based on performing joint measurements of a weak interaction away from the weak-value-amplification approximation. Two detectors are used to collect full statistics of the correlations between two…

Quantum Physics · Physics 2016-03-11 Julián Martínez-Rincón , Wei-Tao Liu , Gerardo I. Viza , John C. Howell

We report a quantitative evaluation of weak-value amplification (WVA) for longitudinal phase measurements using Allan variance analysis. Building on a recent double-slit interferometry experiment with real weak values [Phys. Rev. Lett. 134,…

Quantum Physics · Physics 2026-03-25 Jing-Hui Huang , Xiang-Yun Hu

The weak-value (WV) measurement proposed by Aharonov, Albert and Vaidman (AAV) has attracted a great deal of interest in connection with quantum metrology. In this work, we extend the analysis beyond the AAV limit and obtain a few main…

Quantum Physics · Physics 2023-09-26 Jianhua Ren , Lupei Qin , Wei Feng , Xin-Qi Li

Postselected weak measurement is a useful protocol for amplifying weak physical effects. However, there has recently been controversy over whether it gives any advantage in precision. While it is now clear that retaining failed…

Quantum Physics · Physics 2015-09-18 Shengshi Pang , Todd A. Brun

It is known that weak measurement can significantly amplify the mean of measurement results, sometimes out of the range limited in usual quantum measurement. This fact, as actively demonstrated recently in both theory and experiment,…

Quantum Physics · Physics 2013-10-25 Saki Tanaka , Naoki Yamamoto