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A model is proposed for the statistical analysis of arbitrary-strength quantum measurements, based on a picture of "sampling weak values" from different configurations of the system. The model is comprised of two elements: a "local weak…

Quantum Physics · Physics 2007-05-23 Alonso Botero

The notion of trajectory of an individual particle is strictly inhibited in quantum mechanics because of the uncertainty principle. Nonetheless, the weak value, which has been proposed as a novel and measurable quantity definable to any…

Quantum Physics · Physics 2015-04-01 Takuya Mori , Izumi Tsutsui

The weak value, introduced by Aharonov et al. to extend the conventional scope of physical observables in quantum mechanics, is an intriguing concept which sheds new light on quantum foundations and is also useful for precision measurement,…

Quantum Physics · Physics 2014-10-06 Takuya Mori , Izumi Tsutsui

The presence of unique quantum correlations is the core of quantum information processing and general quantum theory. We address the fundamental question of how quantum correlations of a generic quantum system can be probed using…

Quantum Physics · Physics 2011-06-01 Adam Bednorz , Wolfgang Belzig

We study potential security vulnerabilities of a single-photon detector based on superconducting transition-edge sensor. In a simple experiment, we show that an adversary could fake a photon number result at a certain wavelength by sending…

Quantum Physics · Physics 2022-09-13 Poompong Chaiwongkhot , Jiaqiang Zhong , Anqi Huang , Hao Qin , Sheng-cai Shi , Vadim Makarov

We show that the weak value of any observable in pre- and post-selected states can be expressed as the sum of the average of the observable in the pre-selected state and an anomalous part. We argue that at a fundamental level the anomalous…

Quantum Physics · Physics 2014-10-21 Arun Kumar Pati , Junde Wu

Bhati and Arvind [Phys. Lett. A, 127955 (2022)] recently argued that in a specially designed experiment the timing of photon detection events demonstrates photon presence at a location at which they are not present according to the weak…

Vaidman, in a recent article adopts the method of 'quantum weak measurements in pre- and postselected ensembles' to ascertain whether or not the chained-Zeno counterfactual computation scheme proposed by Hosten et al. is counterfactual;…

Quantum Physics · Physics 2007-05-23 Onur Hosten , Paul G. Kwiat

Coherent manipulation of quantum states of light is key to photonic quantum information processing. In this Letter, we show that a passive two-level nonlinearity suffices to implement non-Gaussian quantum operations on propagating field…

Quantum Physics · Physics 2024-09-06 Mads M. Lund , Fan Yang , Victor Rueskov Christiansen , Danil Kornovan , Klaus Mølmer

We investigate quantum properties of pulsed light fields point by point in phase space. We probe the negative region of the Wigner function of a single photon generated by the means of waveguided parametric down-conversion. This capability…

Quantum Physics · Physics 2010-12-24 Kaisa Laiho , Katiuscia N. Cassemiro , David Gross , Christine Silberhorn

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…

Quantum Physics · Physics 2016-06-08 Michael J. W. Hall , Arun Kumar Pati , Junde Wu

The application of postselection to a weak quantum measurement leads to the phenomenon of weak values. Expressed in units of the measurement strength, the displacement of a quantum coherent measuring device is ordinarily bounded by the…

Quantum Physics · Physics 2014-03-10 George C. Knee , Erik M. Gauger

We investigate the estimation of a small interaction parameter from the outcomes of weak quantum measurements implemented by the interaction. The relation of weak values and sensitivity is explained and the different contributions of…

Quantum Physics · Physics 2012-10-23 Holger F. Hofmann , Michael E. Goggin , Marcelo P. Almeida , Marco Barbieri

We develop a notion of predicate transformer and, in particular, the weakest precondition, appropriate for quantum computation. We show that there is a Stone-type duality between the usual state-transformer semantics and the weakest…

Quantum Physics · Physics 2007-05-23 Ellie D'Hondt , Prakash Panangaden

We show that a weak projective measurement of photon arrival time can be realized by controllable two photon interferences with photons from short-time reference pulses at a polarization beam splitter. The weak value of the projector on the…

Quantum Physics · Physics 2013-06-25 Holger F. Hofmann , Changliang Ren

We explore a counterfactual protocol for energy transfer. A modified version of a Mach-Zehnder interferometer dissociates a photon's position and energy into separate channels, resulting in a photoelectric effect in one channel without the…

Quantum Physics · Physics 2019-11-12 A. Ludu , J. A. Morris , C. Rugina

A while loop tests a termination condition on every iteration. On a quantum computer, such measurements perturb the evolution of the algorithm. We define a while loop primitive using weak measurements, offering a trade-off between the…

Quantum Physics · Physics 2022-01-07 Pablo Andrés-Martínez , Chris Heunen

Quantum weak measurements with states both pre- and postselected offer a window into a hitherto neglected sector of quantum mechanics. A class of such systems involves time dependent evolution with transitions possible. In this paper we…

Quantum Physics · Physics 2016-02-12 Sara Imari Walker , Paul C. W. Davies , Prasant Samantray , Yakir Aharonov

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…

Quantum Physics · Physics 2018-11-26 G. S. Thekkadath , F. Hufnagel , J. S. Lundeen

The standard approach to quantum measurements is to assume that they lead to effectively instantaneous collapse of the quantum state. However, if we assume that we are unable to enforce at what exact moment of time the measurement occurs…

Quantum Physics · Physics 2026-03-20 Igor Prlina , Milutin Živković