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In this study we critically examine some important papers on weak measurement and weak values. We find some insufficiency and mistakes in these papers, and we demonstrate that the real parts of weak values provide the back-action to the…

量子物理 · 物理学 2015-04-20 Riuji Mochizuki

New techniques based on weak measurements have recently been introduced to the field of quantum state reconstruction. Some of them allow the direct measurement of each matrix element of an unknown density operator and need only $O(d)$…

量子物理 · 物理学 2019-01-31 Luca Calderaro , Giulio Foletto , Daniele Dequal , Paolo Villoresi , Giuseppe Vallone

An adjoint-based procedure to determine weaknesses, or, more generally the material properties of structures is developed and tested. Given a series of force and deformation/strain measurements, the material properties are obtained by…

最优化与控制 · 数学 2023-03-28 Facundo N. Airaudo , Rainald Löhner , Roland Wüchner , Harbir Antil

An analysis of errors in measurement yields new insight into the penetration of quantum particles into classically forbidden regions. In addition to ``physical" values, realistic measurements yield ``unphysical" values which, we show, can…

高能物理 - 理论 · 物理学 2009-10-22 Y. Aharonov , S. Popescu , D. Rohrlich , L. Vaidman

Weak measurements offer new insights into the behavior of quantum systems. Combined with post-selection, quantum mechanics predicts a range of new experimentally testable phenomena. In this paper I consider weak measurements performed on…

量子物理 · 物理学 2009-11-13 P. C. W. Davies

The AAV effect is the well-known phenomenon where a weak measurement followed by post-selection leads to a pointer shift proportional to the weak value of the measured observable. The effect is usually derived by considering a perturbative…

量子物理 · 物理学 2014-06-04 Jeff Z. Salvail

We investigate the sequential composition of weak values in the framework of time-symmetric quantum mechanics. Specifically, we consider a forward'' weak measurement from a preselected state $\ket{\psi}$ to a post-selected state…

量子物理 · 物理学 2025-07-15 Mirco A. Mannucci

The meaning and its possible applications of post-selected weak amplification in optomechanical system is concisely reviewed.

量子物理 · 物理学 2015-09-04 Tao Wang , Gang Li

We aim to address the following question: if we start with a quantum state with a spontaneously broken higher-form symmetry, what is the fate of the system under weak local quantum measurements? We demonstrate that under certain conditions,…

强关联电子 · 物理学 2024-05-21 Kaixiang Su , Nayan Myerson-Jain , Chong Wang , Chao-Ming Jian , Cenke Xu

In this work we establish a link between two apparently unrelated subjects: polarization effects in optical fibers and devices, and the quantum theory of weak measurements. We show that the abstract concept of weak measurements followed by…

量子物理 · 物理学 2007-05-23 Nicolas Brunner

The effects of different forms of weak measurements on the nature of the measurement induced phase transition are theoretically studied in hybrid random quantum circuits of qubits. We use a combination of entanglement measures, ancilla…

量子物理 · 物理学 2024-12-10 Kemal Aziz , Ahana Chakraborty , J. H. Pixley

Quantum technology has been rapidly growing due to its potential revolutionary applications. In particular, superconducting qubits provide a strong light-matter interaction as required for quantum computation and in principle can be scaled…

量子物理 · 物理学 2019-04-23 Mahdi Naghiloo

We prove uncertainty relations that quantitatively express the impossibility of jointly sharp preparation of pre- and post-selected quantum states for measuring incompatible observables during the weak measurement. By defining a suitable…

量子物理 · 物理学 2014-11-27 Arun Kumar Pati , Junde Wu

Although regarded today as an important resource in quantum information, nonlocality has yielded over the years many conceptual conundrums. Among the latter are nonlocal aspects of single particles which have been of major interest. In this…

量子物理 · 物理学 2020-04-16 Danko Georgiev , Eliahu Cohen

The time-symmetric formalism endows the weak measurement and its outcome, the weak value,many unique features. In particular, it allows a direct tomography of quantum states without resort to complicated reconstruction algorithms and…

量子物理 · 物理学 2021-11-01 Liang Xu , Huichao Xu , Tao Jiang , Feixiang Xu , Kaimin Zheng , Ben Wang , Aonan Zhang , Lijian Zhang

We investigate a new experimental possibility of measuring the Newtonian gravitational constant $G$ by using the weak measurement. Amplification via weak measurement is one of the interesting phenomena of quantum mechanics. In this letter,…

量子物理 · 物理学 2018-04-26 Kiyoharu Kawana , Daiki Ueda

Weak lensing provides a direct measure of the distribution of mass in the universe, and is therefore a uniquely powerful probe of dark matter. Weak lensing can also be used to measure the twin phenomenon of dark energy, via its effect upon…

天体物理学 · 物理学 2007-05-23 Richard Massey , Alexandre Refregier , Jason Rhodes

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…

量子物理 · 物理学 2015-09-18 Shengshi Pang , Todd A. Brun

A weak value is an effective description of the influence of a pre and post-selected 'principal' system on another 'meter' system to which it is weakly coupled. Weak values can describe anomalously large deflections of the meter, and…

量子物理 · 物理学 2018-08-13 George C. Knee , G. Andrew D. Briggs

This paper establishes a direct, robust and intimate connection between (i) non classicality tests for various quantum features, e.g., non-Boolean logic, quantum coherence, nonlocality, quantum entanglement, quantum discord; (ii) negative…

量子物理 · 物理学 2021-10-26 Sooryansh Asthana , V. Ravishankar