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We analyze the amplification by the Aharonov-Albert-Vaidman weak quantum measurement on a Sagnac interferometer [P. B. Dixon et al., Phys. Rev. Lett. 102, 173601 (2009)] up to all orders of the coupling strength between the measured system…

Quantum Physics · Physics 2015-05-30 Tatsuhiko Koike , Saki Tanaka

Precision measurements of ultra-small linear velocities of one of the mirrors in a Michelson interferometer are performed using two different weak-values techniques. We show that the technique of Almost-Balanced Weak Values (ABWV) offers…

Optics · Physics 2017-06-14 Julián Martínez-Rincón , Zekai Chen , John C. Howell

We describe a weak value inspired phase amplification technique in a Sagnac interferometer. We monitor the relative phase between two paths of a slightly misaligned interferometer by measuring the average position of a split-Gaussian mode…

Quantum Physics · Physics 2015-05-14 David J. Starling , P. Ben Dixon , Nathan S. Williams , Andrew N. Jordan , John C. Howell

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

We experimentally realize a great precision enhancement in the small tilt measurement by using a Sagnac interferometer and balanced homodyne detection (BHD) of high-order optical modes, together with the weak value amplification (WVA)…

Quantum Physics · Physics 2022-10-27 ChaoXia Zhang , YongLang Lai , RongGuo Yang , Kui Liu , Jing Zhang , HengXin Sun , JiangRui Gao

Weak value amplification (WVA) is a metrological protocol that amplifies ultra-small physical effects. However, the amplified outcomes necessarily occur with highly suppressed probabilities, leading to the extensive debate on whether the…

Quantum Physics · Physics 2020-08-19 Liang Xu , Zexuan Liu , Animesh Datta , George C. Knee , Jeff S. Lundeen , Yan-qing Lu , Lijian Zhang

We show using statistically rigorous arguments that the technique of weak value amplification (WVA) does not perform better than standard statistical techniques for the tasks of single parameter estimation and signal detection. Specifically…

Quantum Physics · Physics 2014-02-03 Christopher Ferrie , Joshua Combes

We study the amplification of rotation velocity with the Sagnac interferometer based on the concept of weak-value amplification. By using a different scheme to perform the Sagnac interferometer with the probe in momentum space, we have…

Quantum Physics · Physics 2021-06-22 Jing-Hui Huang , Xue-Ying Duan , Xiang-Yun Hu

We report on the use of an interferometric weak value technique to amplify very small transverse deflections of an optical beam. By entangling the beam's transverse degrees of freedom with the which-path states of a Sagnac interferometer,…

Quantum Physics · Physics 2009-06-29 P. Ben Dixon , David J. Starling , Andrew N. Jordan , John C. Howell

Weak-value amplification (WVA) is a post-selection-based technique that amplifies weak physical signals by preparing nearly orthogonal pre- and post-selected quantum states. It is intrinsically limited by various kinds of technical noise,…

Quantum Physics · Physics 2026-02-20 Xiang-Yun Hu , Jing-Hui Huang , Fei-Fan He , Guang-Jun Wang , Adetunmise C. Dada

Recently, biased weak measurement(BWM) has shown higher precision than both conventional measurement and standard weak measurement(SWM) in optical metrology. In this paper, we propose a scheme of detecting rotation velocity in Sagnac's…

Quantum Physics · Physics 2021-10-22 Jing-Hui Huang , Xiang-Yun Hu , Xue-Ying Duan , Guang-Jun Wan

Weak-value amplification employs postselection to enhance the measurement of small parameters of interest. The amplification comes at the expense of reduced success probability, hindering the utility of this technique as a tool for…

Quantum Physics · Physics 2020-12-29 Muthumanimaran Vetrivelan , Sai Vinjanampathy

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

A protocol employing weak values (WVs) to obtain ultra sensitive amplification of weak signals in the context of a solid state setup is proposed. We consider an Aharonov-Bohm interferometer where both the orbital and the spin degrees of…

Mesoscale and Nanoscale Physics · Physics 2013-02-18 Oded Zilberberg , Alessandro Romito , Yuval Gefen

Weak-value amplification (WVA) has recently become an important technique for parameter estimation, owing to its ability to enhance the signal-to-noise ratio by amplifying extremely small signals with proper postselection strategies. In…

Quantum Physics · Physics 2018-03-28 Fei Li , Jingzheng Huang , Guihua Zeng

We measure a transverse momentum kick in a Sagnac interferometer using weak-value amplification with two postselections. The first postselection is controlled by a polarization dependent phase mismatch between both paths of a Sagnac…

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

An interferometric arrangement is proposed in which the technique of weak value amplification is implemented in order to enlarge the effect of a single photon on the quadratures of a movable mirror of an optical cavity. The photon interacts…

Quantum Physics · Physics 2022-06-22 Sergio Carrasco , Miguel Orszag

Weak-value amplification (WVA) is a metrological protocol that effectively amplifies ultra-small physical effects, making it highly applicable in the fields of quantum sensing and metrology. However, the amplification effect is achieved…

Quantum Physics · Physics 2024-07-16 Liang Xu , Lijian Zhang

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…

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