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We propose to use weak measurements away from the weak-value amplification regime to carry out precision measurements of time delays of light. Our scheme is robust to several sources of noise that are shown to only limit the relative…

Quantum Physics · Physics 2013-02-27 Grégory Strübi , C. Bruder

By harnessing the quantum states of light for illumination, precise phase and absorption estimations can be achieved with precision beyond the standard quantum limit. Despite their significance for precision measurements, quantum states are…

Quantum Physics · Physics 2018-08-15 Ming Li , Chang-Ling Zou , Di Liu , Guo-Ping Guo , Guang-Can Guo , Xi-Feng Ren

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

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…

Quantum Physics · Physics 2015-08-24 Yuki Susa

Photon loss rates set an effective upper limit on the size of computations that can be run on current linear optical quantum devices. We present a family of techniques designed to mitigate the effects of photon loss on both output…

Quantum Physics · Physics 2026-03-18 James Mills , Rawad Mezher

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

Imaging systems' performance at low light intensity is affected by shot noise, which becomes increasingly strong as the power of the light source decreases. In this paper we experimentally demonstrate the use of deep neural networks to…

Image and Video Processing · Electrical Eng. & Systems 2018-12-19 Alexandre Goy , Kwabena Arthur , Shuai Li , George Barbastathis

The weak value, the average result of a weak measurement, has proven useful for probing quantum and classical systems. Examples include the amplification of small signals, investigating quantum paradoxes, and elucidating fundamental quantum…

Quantum Physics · Physics 2019-12-24 A. Hariri , D. Curic , L. Giner , J. S. Lundeen

Rydberg atoms, with their long coherence time and large electric dipole moment, are pivotal in quantum precision measurement. In the process of approaching the standard quantum limit, higher demands are placed on detection schemes. This…

Quantum Physics · Physics 2025-03-06 Yinghang Jiang , Jiguo Wu , Meng Shi , Hanqing Zheng , Fei Guo , Zhiguang Xiao , Zhiyou Zhang

Weak value amplification (WVA) is a technique in which one can magnify the apparent strength of a measurement signal. Some have claimed that WVA can outperform more conventional measurement schemes in parameter estimation. Nonetheless, a…

Quantum Physics · Physics 2017-02-22 Jérémie Harris , Robert W. Boyd , Jeff S. Lundeen

Driven non-linear resonators can display sharp resonances or even multistable behaviours amenable to induce strong enhancements of weak signals. Such enhancements can make use of the phenomenon of vibrational resonance whereby a weak…

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…

I propose a scheme for reconstructing the weak value of an observable without the need for weak measurements. The post-selection in weak measurements is replaced by an initial projector measurement. The observable can be measured using any…

Quantum Physics · Physics 2007-06-13 Lars M. Johansen

Weak measurement is a novel technique for parameter estimation with higher precision. In this paper we develop a general theory for the parameter estimation based on weak measurement technique with arbitrary postselection. The previous weak…

Quantum Physics · Physics 2016-08-24 Chen Fang , Jing-Zheng Huang , Yang Yu , Qin-Zheng Li , Guihua Zeng

An improvement of the scheme by Brunner and Simon [Phys. Rev. Lett. 105, 010405 (2010)] is proposed in order to show that quantum weak measurements can provide a method to detect ultrasmall longitudinal phase shifts, even with white light.…

Quantum Physics · Physics 2011-05-20 Chuan-Feng Li , Xiao-Ye Xu , Jian-Shun Tang , Jin-Shi Xu , Guang-Can Guo

We study quantum measurement with preselection and postselection, and derive the precise expressions of the measurement results without any restriction on the coupling strength between the system and the measuring device. For a qubit…

Quantum Physics · Physics 2011-11-18 Xuanmin Zhu , Yuxiang Zhang , Shengshi Pang , Chang Qiao , Quanhui Liu , Shengjun Wu

Optomechanical systems are often used for the measurement of weak forces. Feedback loops can be used in these systems for achieving noise reduction. Here we show that even though feedback is not able to improve the signal to noise ratio of…

Quantum Physics · Physics 2009-11-10 David Vitali , Stefano Mancini , Paolo Tombesi

We experimentally determine weak values for a single photon's polarization, obtained via a weak measurement that employs a two-photon entangling operation, and postselection. The weak values cannot be explained by a semiclassical wave…

Quantum Physics · Physics 2008-11-26 G. J. Pryde , J. L. O'Brien , A. G. White , T. C. Ralph , H. M. Wiseman

While the novel applications of weak values have recently attracted wide attention, weak measurement, the usual way to extract weak values, suffers from risky approximations and severe quantum noises. In this paper, we show that the…

Quantum Physics · Physics 2016-03-30 Yu-Xiang Zhang , Shengjun Wu , Zeng-Bing Chen

Weak measurement has been shown to play important roles in the investigation of both fundamental and practical problems. Anomalous weak values are generally believed to be observed only when post-selection is performed, i.e, only a…

Quantum Physics · Physics 2019-11-26 Mu Yang , Qiang Li , Zheng-Hao Liu , Ze-Yan Hao , Chang-Liang Ren , Jin-Shi Xu , Chuan-Feng Li , Guang-Can Guo