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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…

量子物理 · 物理学 2015-05-30 Tatsuhiko Koike , Saki Tanaka

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…

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

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…

量子物理 · 物理学 2022-06-22 Sergio Carrasco , Miguel Orszag

Causal effect estimation has been studied by many researchers when only observational data is available. Sound and complete algorithms have been developed for pointwise estimation of identifiable causal queries. For non-identifiable causal…

机器学习 · 统计学 2023-06-26 Ziwei Jiang , Lai Wei , Murat Kocaoglu

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…

量子物理 · 物理学 2013-02-27 Grégory Strübi , C. Bruder

In the value-added literature, it is often claimed that regressing on empirical Bayes shrinkage estimates corrects for the measurement error problem in linear regression. We clarify the conditions needed; we argue that these conditions are…

计量经济学 · 经济学 2026-02-23 Jiafeng Chen , Jiaying Gu , Soonwoo Kwon

The weak value amplification technique has been proved useful for precision metrology in both theory and experiment. To explore the ultimate performance of weak value amplification for multi-parameter estimation, we investigate a general…

量子物理 · 物理学 2023-10-11 Binke Xia , Jingzheng Huang , Chen Fang , Hongjing 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.…

量子物理 · 物理学 2011-05-20 Chuan-Feng Li , Xiao-Ye Xu , Jian-Shun Tang , Jin-Shi Xu , Guang-Can Guo

In this Comment, we refute conclusions made in Phys. Rev. Lett. 112, 233601 (2014) by L.-G. Wang, L. Wang, M. Al-Amri, S.-Y. Zhu, and M. S. Zubairy. These conclusions stem from the use of the linear theory, which is not applicable to…

其他凝聚态物理 · 物理学 2015-11-30 D. G. Baranov , A. A. Zyablovsky , A. V. Dorofeenko , A. P. Vinogradov , A. A. Lisyansky

The problem whether weighted estimates for multilinear Fourier multipliers with Sobolev regularity hold under weak condition on weights is considered.

经典分析与常微分方程 · 数学 2013-03-28 Mai Fujita , Naohito Tomita

Two complementary approaches to the theory of heavy quarkonia are discussed. The nonrelativistic potential models give amazingly accurate predictions, but lack a theoretical justification. The expansion in powers of $v/c$ is theoretically…

高能物理 - 唯象学 · 物理学 2009-10-28 Kacper Zalewski

In the late 80s, a curious effect suggested by Aharanov, Albert and Vaidman opened up new vistas regarding quantum measurements on weakly coupled systems. There, a combination of a "weak" finite interaction together with a "strong"…

量子物理 · 物理学 2017-08-01 Raul Coto , Víctor Montenegro , Vitalie Eremeev , Douglas Mundarain , Miguel Orszag

Weak measurement is a standard measuring procedure with two changes: it is performed on pre- and post-selected quantum systems and the coupling to the measuring device is weakened. The outcomes of weak measurements, ``weak values'' are very…

高能物理 - 理论 · 物理学 2009-09-25 Lev Vaidman

Svensson [Found. Phys. 45, 1645 (2015)] argued that the concept of the weak value of an observable of a pre- and post-selected quantum system cannot be applied when the expectation value of the observable in the initial state vanishes.…

量子物理 · 物理学 2022-10-12 Alon Ben Israel , L. Vaidman

We investigate the impact of dissipation on weak measurements. While weak measurements have been successful in signal amplification, dissipation can compromise their usefulness. More precisely, we show that in systems with non-degenerate…

量子物理 · 物理学 2024-05-13 Lorena Ballesteros Ferraz , John Martin , Yves Caudano

We study the weak values of a quantum observable from the point of view of the Wigner formalism. The main actor is here the cross-Wigner transform of two functions, which is in disguise the cross-ambiguity function familiar from radar…

量子物理 · 物理学 2015-05-30 Maurice A. de Gosson , Serge M. de Gosson

In this presentation, I argue that weak measurements empirically support the notion of quantum superpositions as statistical alternatives. In short, weak measurements show that Schroedinger's cat is already dead or alive before the…

量子物理 · 物理学 2009-11-03 Holger F. Hofmann

The paper analyzes four classical signal-plus-noise models: the factor model, spiked sample covariance matrices, the sum of a Wigner matrix and a low-rank perturbation, and canonical correlation analysis with low-rank dependencies. The…

统计方法学 · 统计学 2026-02-04 Anna Bykhovskaya , Vadim Gorin , Sasha Sodin

The aim of this note is to show that weak relative hyperbolicity of a group relative to a subgroup (or relative hyperbolicity in the sense of Farb) does not imply any natural analogues of some well-known algebraic properties of ordinary…

群论 · 数学 2007-05-23 D. V. Osin