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Weak measurements with mixed probe states were investigated in the presence of noise in the probe system. We show that the completely mixed state can be used as a probe state for weak measurements of imaginary weak values. The completely…

量子物理 · 物理学 2012-11-20 Shuhei Tamate , Toshihiro Nakanishi , Masao Kitano

We introduce the concept of a dissipative measure-valued solution to the Euler alignment system. This approach incorporates a modified total energy balance, utilizing a binary tensor Young measure. The central finding is a weak…

偏微分方程分析 · 数学 2024-12-13 Abhishek Chaudhary , Ujjwal Koley , Emil Wiedemann

In contrast to a projective quantum measurement in which the system is projected onto an eigenstate of the measured operator, in a weak measurement the system is only weakly perturbed while only partial information on the measured…

量子物理 · 物理学 2018-10-26 Maicol A. Ochoa , Wolfgang Belzig , Abraham Nitzan

When a well-localized photon is incident on a spatially superposed absorber but is not absorbed, the photon can still deliver energy to the absorber. It is shown that when the transferred energy is small relative to the energy uncertainty…

量子物理 · 物理学 2020-09-07 Mordecai Waegell , Cyril Elouard , Andrew N. Jordan

To date, testing interactions in high dimensions has been a challenging task. Existing methods often have issues with sensitivity to modeling assumptions and heavily asymptotic nominal p-values. To help alleviate these issues, we propose a…

机器学习 · 统计学 2012-06-29 Noah Simon , Robert Tibshirani

Quantum metrology is being gradually studied for weak measurement systems. For weak measurement systems with thermal state pointer, we find that in the displacement space corresponding to imaginary weak values, the maximal QFI after…

量子物理 · 物理学 2018-11-13 Gang Li , Li-Bo Chen , Tao Wang , Zhi-Hui He , He-Shan Song

In this, partly pedagogical review, I attempt to give a self-contained overview of the basis of (non-relativistic) QM measurement theory expressed in density matrix formalism. The focus is on applications to the theory of weak measurement,…

量子物理 · 物理学 2013-05-27 Bengt E. Y. Svensson

We experimentally determine weak values for a single photon's polarization, obtained via a weak measurement that employs a two-photon entangling operation, and postselection. The weak values cannot be explained by a semiclassical wave…

量子物理 · 物理学 2008-11-26 G. J. Pryde , J. L. O'Brien , A. G. White , T. C. Ralph , H. M. Wiseman

We report results of a high precision phase estimation based on a weak measurements scheme using commercial light-emitting diode. The method is based on a measurement of the imaginary part of the weak value of a polarization operator. The…

量子物理 · 物理学 2013-06-21 Xiao-Ye Xu , Yaron Kedem , Kai Sun , Lev Vaidman , Chuan-Feng Li , Guang-Can Guo

The viability of quantum communication schemes rely on sending quantum states of light over long distances. However, transmission loss can degrade the signal strength, adding noise. Heralded noiseless amplification of a quantum signal can…

量子物理 · 物理学 2016-10-20 Joseph Ho , Allen Boston , Matthew Palsson , Geoff Pryde

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…

量子物理 · 物理学 2009-11-13 David Menzies , Natalia Korolkova

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

Recent controversy regarding the meaning and usefulness of weak values is reviewed. It is argued that in spite of recent statistical arguments by Ferrie and Combes, experiments with anomalous weak values provide a useful amplification…

量子物理 · 物理学 2017-10-25 Lev Vaidman

The weak value of an observable is experimentally accessible by weak measurements as theoretically analyzed by Aharonov et al. and recently experimentally demonstrated. We introduce a weak operator associated with the weak values and give a…

量子物理 · 物理学 2010-06-11 Yutaka Shikano , Akio Hosoya

We study the interaction of a ground state with a class of trapping potentials. We track the precise asymptotic behavior of the solution if the interaction is weak, either because the ground state moves away from the potential or is very…

偏微分方程分析 · 数学 2014-04-28 Scipio Cuccagna , Masaya Maeda

Recent work [J.S. Lundeen et al. Nature, 474, 188 (2011)] directly measured the wavefunction by weakly measuring a variable followed by a normal (i.e. `strong') measurement of the complementary variable. We generalize this method to mixed…

量子物理 · 物理学 2012-03-14 Jeff S. Lundeen , Charles Bamber

We re-examine the status of the weak value of a quantum mechanical observable as an objective physical concept, addressing its physical interpretation and general domain of applicability. We show that the weak value can be regarded as a…

量子物理 · 物理学 2007-05-23 Yakir Aharonov , Alonso Botero

We investigate four key issues with using a nonzero weak value of the spatial projection operator to infer the past path of an individual quantum particle. First, we note that weak measurements disturb a system, so any approach relying on…

量子物理 · 物理学 2023-04-25 Jonte R. Hance , John Rarity , James Ladyman

In this paper we propose a setup for the weak measurement of photon arrival time. It is found that the weak values of this arrival time can lie far away from the expectation value, and in principle also in regions forbidden by special…

量子物理 · 物理学 2009-11-10 S. E. Ahnert , M. C. Payne

A statistical analysis of optimal universal cloning shows that it is possible to identify an ideal (but non-positive) copying process that faithfully maps all properties of the original Hilbert space onto two separate quantum systems. The…

量子物理 · 物理学 2012-07-18 Holger F. Hofmann
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