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The impossibility of measuring noncommuting quantum mechanical observables is one of the most fascinating consequences of the quantum mechanical postulates. Hence, to date the investigation of quantum measurement and projection is a…

介观与纳米尺度物理 · 物理学 2010-09-06 Adam Bednorz , Wolfgang Belzig

Weak measurements may result in extra quantity of quantumness of correlations compared with standard projective measurement on a bipartite quantum state. We show that the quantumness of correlations by weak measurements can be consumed for…

量子物理 · 物理学 2014-03-18 Lin-Ping Huai , Bo Li , Shi-Xian Qu , Heng Fan

Recent empirical work in the field of 'weak measurements' has yielded novel ways of more directly accessing and exploring the quantum wavefunction. Measuring either position or momentum for a photon in a 'weak' manner yields a wide range of…

量子物理 · 物理学 2013-06-17 David R Geelan

In this paper, we establish the theoretical framework for understanding the sensing capabilities of optical fibers. We show the distinct advantage of polarization over phase in detecting subhertz environmental processes. Subsequently, we…

光学 · 物理学 2024-07-29 Antonio Mecozzi

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

Optical fibers constitute an attractive platform for the realization of nonlinear and quantum optics processes. Here we show, through theoretical considerations, how polarization effects of both third-order parametric down-conversion and…

光学 · 物理学 2024-10-18 Carla M. Brunner , Nicolas Y. Joly

We explore the possibility of using "weak" measurements to carry out quantum state tomography. Given a certain fixed number of copies of identically prepared states of a qubit, we simulate state tomography using weak as well as projective…

量子物理 · 物理学 2014-08-06 Debmalya Das , Arvind

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…

量子物理 · 物理学 2015-06-17 G. Bié Alves , B. M. Escher , R. L. de Matos Filho , N. Zagury , L. Davidovich

In quantum theory, a weak value is a complex number with a somewhat technical definition: it is a ratio whose numerator is the matrix element of a self-adjoint operator and whose denominator is the inner product of a corresponding pair of…

量子物理 · 物理学 2026-02-11 Jacob A. Barandes

A simple formula to read out the weak value from the wave function of the measuring device after the postselection with the initial Gaussian profile is proposed. We apply this formula for the weak value to the classical experiment of the…

量子物理 · 物理学 2016-11-25 Kouji Nakamura

Weak values are the fundamental values for observables in a pre- and post-selected system. Weak values are typically measured by weak measurement, in which weak values appear in the change of not the pre- and post-selected system but the…

量子物理 · 物理学 2020-04-21 Kazuhisa Ogawa , Hirokazu Kobayashi , Akihisa Tomita

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…

量子物理 · 物理学 2015-09-03 Gang Li , Ming-Yong Ye , Xiu-Min Lin , He-Shan Song

The variance of an observable in a pre-selected quantum system, which is always real and non-negative, appears as an increase in the probe wave packet width in indirect measurements. Extending this framework to pre- and post-selected…

量子物理 · 物理学 2021-07-28 Kazuhisa Ogawa , Natsuki Abe , Hirokazu Kobayashi , Akihisa Tomita

Weak measurement is unique in enabling measurements of non-commuting operators as well as otherwise-undetectable peculiar phenomena predicted by the Two-State-Vector-Formalism (TSVF). This article, the first in two parts, explores novel…

量子物理 · 物理学 2015-06-23 Yakir Aharonov , Eliahu Cohen , Avshalom C. Elitzur

We discuss and experimentally demonstrate the role of quantum coherence in a sequence of two measurements collected at different times using weak measurements. For this purpose, we have realized a weak-sequential measurement protocol with…

The question: "Where was a quantum particle between pre- and postselection measurements?" is analyzed in view of a recent proposal that it was in the overlap of the forward and backward evolving wave functions. It is argued that this…

量子物理 · 物理学 2015-06-18 Lev Vaidman

Polarization arises when the underlying network connecting the members of a community or society becomes characterized by highly connected groups with weak inter-group connectivity. The increasing polarization, the strengthening of echo…

社会与信息网络 · 计算机科学 2023-04-06 Ruben Interian , Ruslan G. Marzo , Isela Mendoza , Celso C. Ribeiro

The quantum measurement procedure based on the Lorentz transformation formalism and weak perturbation of the system is considered. In the simple case of a single-qubit it turns out that one can perform 4-dimension pseudo-rotation along with…

量子物理 · 物理学 2019-06-18 Yu. I. Bogdanova , N. A. Bogdanova , B. I. Bantysh , Yu. A. Kuznetsov

A preselection-free fiber-optic weak measurement sensing framework is proposed and experimentally verified in this paper. In view of the limitation that fiber-optic weak measurement require specific preselection, this scheme innovates…

光学 · 物理学 2025-07-25 Zifu Su , Weiqian Zhao , Wanshou Sun , Hexiang Li , Yafei Yu , Jindong Wang

It is often said that measuring a system's position must disturb the complementary property, momentum, by some minimum amount due to the Heisenberg uncertainty principle. Using a "weak-measurement", this disturbance can be reduced. One…

量子物理 · 物理学 2018-11-26 G. S. Thekkadath , F. Hufnagel , J. S. Lundeen