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We study the detection capability of the weak-value amplification on the basis of the statistical hypothesis testing. We propose a reasonable testing method in the physical and statistical senses to find that the weak measurement with the…

Quantum Physics · Physics 2015-08-17 Yuki Susa , Saki Tanaka

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

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

Post-selected weak measurement has been widely used in experiments to observe weak effects in various physical systems. However, it is still unclear how large the amplification ability of a weak measurement can be and what determines the…

Quantum Physics · Physics 2014-07-17 Shengshi Pang , Todd A. Brun , Shengjun Wu , Zeng-Bing Chen

Weak measurement [1,19] combined with quantum delayed-choice experiment that use quantum beam splitter instead of the beam splitter give rise to a surprising amplification effect, i.e., counterintuitive negative amplification effect. We…

Quantum Physics · Physics 2016-01-20 Gang Li , Tao Wang , Ming-Yong Ye , and He-Shan Song

The implementation of weak-value amplification requires the pre- and post-selection of states of a quantum system, followed by the observation of the response of the meter, which interacts weakly with the system. Data acquisition from the…

Quantum Physics · Physics 2015-06-17 G. Bié Alves , B. M. Escher , R. L. de Matos Filho , N. Zagury , L. Davidovich

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

Interpretations of an experiment on the back-action in a weak measurement in [M. Iinuma et al., New J. Phys. vol.13 (2011), 033041] are revisited. We show two different but essentially equivalent interpretations for this experiment along…

Quantum Physics · Physics 2013-10-30 Kouji Nakamura , Masataka Iinuma

In this article we present an experimental proposal for the estimation of an optomechanical parameter in the presence of noise. The estimation is based on the technique of weak value amplification which can enlarge the radiation pressure…

Quantum Physics · Physics 2021-12-22 Sergio Carrasco , Miguel Orszag

Most studies for postselected weak measurement in optomechanical system focus on using a single photon as a measured system. However, we find that using weak coherent light instead of a single photon can also amplify the mirror's position…

Quantum Physics · Physics 2021-09-21 Gang Li , Wen Yang

We present a weak measurement protocol that permits a sensitive estimation of angular rotations based on the concept of weak-value amplification. The shift in the state of a pointer, in both angular position and the conjugate orbital…

Quantum Physics · Physics 2014-05-23 Omar S. Magana-Loaiza , Mohammad Mirhosseini , Brandon Rodenburg , Robert W. Boyd

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 measurements based amplification of ultra-small phase was proposed in our previous work. Due to the technical imperfections, the ability of amplification is usually limited in practice. Here we introduce the concept of cascaded…

Quantum Physics · Physics 2017-09-06 Meng-Jun Hu , Yong-Sheng Zhang

Aharonov's weak value, which is a physical quantity obtainable by weak measurement, admits amplification and hence is deemed to be useful for precision measurement. We examine the significance of the amplification based on the uncertainty…

Quantum Physics · Physics 2016-07-22 Jaeha Lee , Izumi Tsutsui

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

Weak measurement with a coherent state pointer and in combination with an orthogonal postselection can lead to a surprising amplification effect, and we give a fire-new physical mechanism about the weak measurement in order to understand…

Quantum Physics · Physics 2015-09-03 Gang Li , Ming-Yong Ye , Xiu-Min Lin , He-Shan Song

Weak measurement amplification, which is considered as a very promising scheme in precision measurement, has been applied to various small physical quantities estimation. Since many quantities can be converted to phase signal, it is thus…

Nearly thirty years ago the possibility of anomalous weak amplfication (AWA) was revealed by Aharonov, Albert and Vaidman [1]. Recently two papers presents two AWA schemes which are beyond the traditional proposal given by them [14, 15]. At…

Quantum Physics · Physics 2015-10-13 Tao Wang , Rui Zhang , Gang Li , Xue-Mei Su

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

Weak measurement enables faithful amplification and high precision measurement of small physical parameters and is under intensive investigation as an effective tool in metrology and for addressing foundational questions in quantum…

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