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Weak force amplification describes the process of amplifying a faint low-frequency signal by means of an additional high-frequency modulation, which plays a vital role in quantum sensing and high-precision measurement. However, the…

Optics · Physics 2026-05-19 Y. F. Li , Ze Wang , W. Y. Hu , Yan-Hui Zhou , Cheng Shang , and H. Z. Shen

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…

Due to the reduced probability of successful post-selection, the weak-value amplification seems to be unavailable for the parameter-estimation. Here, we show theoretically that, some effects due to the weak interactions present only in the…

Quantum Physics · Physics 2015-01-23 Miao Zhang

Encoding the imaginary part of a weak value onto an initially entangled probe can modify its entanglement content - provided the probe observable can distinguish between states of different entropies. Apart from fundamental interest, this…

Quantum Physics · Physics 2009-11-13 David Menzies , Natalia Korolkova

Conventional quantum mechanics describes a pre- and post-selected system in terms of virtual (Feynman) paths via which the final state can be reached. In the absence of probabilities, a weak measurement (WM) determines the probability…

Quantum Physics · Physics 2016-04-20 D. Sokolovski

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

The use of well-disentangled representations offers many advantages for downstream tasks, e.g. an increased sample efficiency, or better interpretability. However, the quality of disentangled interpretations is often highly dependent on the…

Machine Learning · Computer Science 2023-03-03 Benjamin Estermann , Roger Wattenhofer

Quantum metrology uses entanglement and other quantum effects to improve the sensitivity of demanding measurements. Probing of delicate systems demands high sensitivity from limited probe energy and has motivated the field's key…

To describe the pre- and post-selected quantum ensembles, a complex quantity called the weak value of an operator is used. The weak value is highly controversial due to the fact that it is not bounded by the possible eigenvalues of the…

Quantum Physics · Physics 2023-03-20 Aiham M. Rostom

The Heisenberg limit provides a fundamental bound on the achievable estimation precision with a limited number of $N$ resources used (e.g., atoms, photons, etc.). Using entangled quantum states makes it possible to scale the precision with…

Quantum Physics · Physics 2023-04-28 Wojciech Górecki

Standard weak measurement with an assistant pointer and single weak interaction constrains measurement precision and quantity of interaction parameters, and a compelling characterization of quantum effect featuring weak-value amplification…

Quantum Physics · Physics 2024-05-14 Yanqiang Guo , Jianchao Zhang , Jiahui Hou , Xiaomin Guo , Liantuan Xiao

Weak value (WV) is a quantum mechanical measurement protocol, proposed by Aharonov, Albert, and Vaidman. It consists of a weak measurement, which is weighed in, conditional on the outcome of a later, strong measurement. Here we define…

Quantum Physics · Physics 2016-12-14 Oded Zilberberg , Alessandro Romito , Yuval Gefen

Imperfections in experimental measurement schemes can lead to falsely identifying, or over estimating, entanglement in a quantum system. A recent solution to this is to define schemes that are robust to measurement imperfections -…

Quantum Physics · Physics 2016-05-18 E. Verbanis , A. Martin , D. Rosset , C. C. W. Lim , R. T. Thew , H. Zbinden

We propose a scheme for enhanced probing of an interaction between two single fermions based on weak-value amplification. The scheme is applied to measuring the anisotropic electron-hole exchange interaction strength in semiconductor…

Quantum Physics · Physics 2015-06-18 Alex Hayat , Amir Feizpour , Aephraim M. Steinberg

We examine the results of the paper "Precision metrology using weak measurements", [Zhang, Datta, and Walmsley, arXiv:1310.5302] from a quantum state discrimination point of view. The Heisenberg scaling of the photon number for the…

Quantum Physics · Physics 2015-05-05 Andrew N. Jordan , Jeff Tollaksen , James E. Troupe , Justin Dressel , Yakir Aharonov

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…

High Energy Physics - Theory · Physics 2009-09-25 Lev Vaidman

There is suggested a version of the experiment with a correlated pair of particles in the entangled state. The experiment demonstrates that, in the case of weak and/or non-demolition measurements of one of the particles, it is possible to…

General Physics · Physics 2016-12-21 A. V. Belinsky , A. K. Zhukovsky

Learning disentangled representations without supervision or inductive biases, often leads to non-interpretable or undesirable representations. On the other hand, strict supervision requires detailed knowledge of the true generative…

Machine Learning · Computer Science 2020-08-25 Vasilis Margonis , Athanasios Davvetas , Iraklis A. Klampanos

We present a mathematically justifiable, computationally simple, sample eigenvalue based procedure for estimating the number of high-dimensional signals in white noise using relatively few samples. The main motivation for considering a…

Statistics Theory · Mathematics 2007-05-23 N. Raj Rao , Alan Edelman

Entanglement distillation is an indispensable ingredient in extended quantum communication networks. Distillation protocols are necessarily non-deterministic and require advanced experimental techniques such as noiseless amplification.…

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