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In optical metrological protocols to measure physical quantities, it is, in principle, always beneficial to increase photon number to improve measurement precision. However, practical constraints prevent arbitrary increase of n due to the…

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 examine the effect of different sources of technical noise on inverse weak value-based precision phase measurements. We find that this type of measurement is similarly robust to technical noise as related experiments in the weak value…

Quantum Physics · Physics 2020-09-07 Kevin Lyons , John C. Howell , Andrew N. Jordan

We analytically and numerically investigate the performance of weak-value amplification (WVA) and related parameter estimation methods in the presence of temporally correlated noise. WVA is a special instance of a general measurement…

We propose a new framework combining weak measurement and second-order correlated technique. The theoretical analysis shows that WVA experiment can also be implemented by a second-order correlated system. We then build two-dimensional…

Optics · Physics 2015-10-28 Ting Cui , Jing-Zheng Huang , Xiang Liu , Gui-Hua Zeng

Weak-value-amplification permits small effects to be measured as observable changes at the sacrifice of power due to post-selection. The power recycling scheme has been proven to eliminate this inefficiency of the rare post-selection, thus…

Optics · Physics 2023-09-20 Zi-Rui Zhong , Wei-Jun Tan , Yue Chen , Qing-Lin Wu

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

Weak value amplification is a classical phenomenon that can enhance the sensitivity of a measurement through clever use of interference. The most well-known paradigm of weak value amplification makes use of a Gaussian pulse, which is…

Quantum Physics · Physics 2017-05-08 Filippo M Miatto

We investigate the potential of weak measurement and post-selection to enhance measurement sensitivity when the initial probe state is mixed. In our framework, the mixedness of the probe's density operator is controlled by temperature. We…

Quantum Physics · Physics 2025-09-05 Lorena Ballesteros Ferraz , Alexandre Matzkin , Alok Kumar Pan

Postselected weak measurement has aroused broad interest for its distinctive ability to amplify small physical quantities. However, the low postselection efficiency to obtain a large weak value has been a big obstacle to its application in…

Quantum Physics · Physics 2015-08-14 Shengshi Pang , Todd A. Brun

Using the profound interferometric philosophy of weak value amplification, we propose a simple, general and a robust polarization method for the amplification and quantification of small magnitudes of all possible polarization anisotropy…

Optics · Physics 2021-06-09 Niladri Modak , Athira B S , Ankit Kumar Singh , Nirmalya Ghosh

We quantify the performance of a non-linear Wiener filter, constructed in wavelet space, at recovering some of the Fisher information that was lost in the weak lensing convergence field. The proposed method consists in a separation of the…

Cosmology and Nongalactic Astrophysics · Physics 2011-12-16 Hao-Ran Yu , Joachim Harnois-Déraps , Tong-Jie Zhang , Ue-Li Pen

Sensors that harness exclusively quantum phenomena (such as entanglement) can achieve superior performance compared to those employing only classical principles. Recently, a technique based on postselected, weakly-performed measurements has…

Quantum Physics · Physics 2013-01-18 George C. Knee , G. Andrew D. Briggs , Simon C. Benjamin , Erik M. Gauger

We study the weak-value amplification (WVA) in a phase measurement with an optical interferometer in which shot noise limits the sensitivity. We compute the signal and the shot noise including the full-order interaction terms of the WVA,…

Quantum Physics · Physics 2012-06-26 Atsushi Nishizawa , Kouji Nakamura , Masa-Katsu Fujimoto

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

Postselected weak measurement has shown significant potential for detecting small physical effects due to its unique weak-value-amplification phenomenon. Previous works suggest that Heisenberg-limit precision can be attained using only the…

Quantum Physics · Physics 2024-12-09 Zi-Rui Zhong , Xia-Lin Su , Xiang-Ming Hu , Ke-Xuan Chen , Hui-Lin Xu , Yan Zhang , Qing-Lin Wu

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

We show that weak measurement can be used to "amplify" optical nonlinearities at the single- photon level, such that the effect of one properly post-selected photon on a classical beam may be as large as that of many un-post-selected…

Quantum Physics · Physics 2015-03-17 Amir Feizpour , Xingxing Xing , Aephraim M. Steinberg

Noise affects the performance of quantum technologies, hence the importance of elaborating operative figures of merit that can capture its impact in exact terms. In quantum metrology, the introduction of the Fisher information measurement…

Quantum Physics · Physics 2024-09-30 Francesco Albarelli , Ilaria Gianani , Marco G. Genoni , Marco Barbieri

With the progress of optical detection technology, the classical diffraction limit raised a hundred years ago has been continuously broken through. In previous experiments within fluorescence sources, one of the techniques used is detecting…

Quantum Physics · Physics 2016-07-20 Xiao Liang , Yong-Sheng Zhang