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A continuous projective measurement of a quantum system often leads to a suppression of the dynamics, known as the Zeno effect. Alternatively, generalized nonprojective, so-called "weak" measurements can be carried out. Such a measurement…

量子物理 · 物理学 2012-01-17 Adam Bednorz , Wolfgang Belzig , Abraham Nitzan

Recently, weak measurements have attracted a lot of interest as an experimental method for the investigation of non-classical correlations between observables that cannot be measured jointly. Here, I explain how the complex valued…

量子物理 · 物理学 2013-05-02 Holger F. Hofmann

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

In classical physics, probabilistic or statistical knowledge has been always related to ignorance or inaccurate subjective knowledge about an actual state of affairs. This idea has been extended to quantum mechanics through a completely…

量子物理 · 物理学 2016-03-29 Christian de Ronde

We investigate the power of weak measurements in the framework of quantum state discrimination. First, we define and analyze the notion of weak consecutive measurements. Our main result is a convergence theorem whereby we demonstrate when…

量子物理 · 物理学 2015-06-23 Boaz Tamir , Eliahu Cohen , Avner Priel

By generalizing the quantum weak measurement protocol to the case of quantum fields, we show that weak measurements probe an effective classical background field that describes the average field configuration in the spacetime region between…

量子物理 · 物理学 2014-03-24 Justin Dressel , Konstantin Y. Bliokh , Franco Nori

The capabilities of a new approach towards the foundations of Statistical Mechanics are explored. The approach is genuine quantum in the sense that statistical behavior is a consequence of objective quantum uncertainties due to entanglement…

量子物理 · 物理学 2010-03-29 Christian Gogolin

Quantum mechanics has irked physicists ever since its conception more than 100 years ago. While some of the misgivings, such as it being unintuitive, are merely aesthetic, quantum mechanics has one serious shortcoming: it lacks a physical…

量子物理 · 物理学 2020-05-07 S. Hossenfelder , T. N. Palmer

The usual conjectures of quantum measurements approaches, inspired from the traditional interpretation of Heisenberg's ("uncertainty") relations, are proved as being incorrect. A group of reconsidered conjectures and a corresponding new…

量子物理 · 物理学 2007-05-23 Spiridon Dumitru

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

If quantum mechanics is taken for granted the randomness derived from it may be vacuous or even delusional, yet sufficient for many practical purposes. "Random" quantum events are intimately related to the emergence of both space-time as…

量子物理 · 物理学 2021-04-27 Karl Svozil

Quantum mechanics does not permit joint measurements of non-commuting observables. However, it is possible to measure the weak value of a projection operator, followed by the precise measurement of a different property. The results can be…

量子物理 · 物理学 2015-02-25 Holger F. Hofmann

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 quantum probabilistic convergence in measurement, distinct from mathematical convergence, is derived for indeterminate probabilities from the weak quantum law of large numbers. This is presented in three theorems. The first establishes…

量子物理 · 物理学 2015-12-03 Fedor Herbut

The information-theoretic definition of quantum correlation, e.g., quantum discord, is measurement dependent. By considering the more general quantum measurements, weak measurements, which include the projective measurement as a limiting…

量子物理 · 物理学 2015-04-13 Ming-Liang Hu , Heng Fan , Dong-Ping Tian

The uncertainty relation and the probability interpretation of quantum mechanics are intrinsically connected, as is evidenced by the evaluation of standard deviations. It is thus natural to ask if one can associate a very small uncertainty…

量子物理 · 物理学 2015-03-17 Kazuo Fujikawa , Koichiro Umetsu

The projective measurement usually destroys the quantum correlation between two subsystems of a composite system, thereby making the measured state useless for any efficient quantum information processing and quantum computation task. The…

量子物理 · 物理学 2014-05-02 Uttam Singh , Arun Kumar Pati

Weak measurements of photon position can be used to obtain direct experimental evidence of the wavefunction of a photon between generation and ultimate detection. Significantly, these measurement results can also be understood as complex…

量子物理 · 物理学 2014-06-11 Holger F. Hofmann

The products of weak values of quantum observables are shown to be of value in deriving quantum uncertainty and complementarity relations, for both weak and strong measurement statistics. First, a 'product representation formula' allows the…

量子物理 · 物理学 2016-06-08 Michael J. W. Hall , Arun Kumar Pati , Junde Wu

Quantum nonlocality offers a secure way to produce random numbers: their unpredictability is intrinsic and can be certified just by observing the statistic of the measurement outcomes, without assumptions on how they are produced. To do…