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It is shown that from the expectation values of obervables, which can be measured for a single system using protective measurements, the linear structure, inner product, and observables in the Hilbert space can be reconstructed. A universal…

High Energy Physics - Theory · Physics 2009-10-22 J. Anandan

Making measurements on single quantum systems is considered difficult, almost impossible if the state is a-priori unknown. Protective measurements suggest a possibility to measure single quantum systems and gain some new information in the…

Quantum Physics · Physics 2015-12-10 Tabish Qureshi , N. D. Hari Dass

We present a detailed description of the experiment realising for the first time a protective measurement, a novel measurement protocol which combines weak interactions with a ``protection mechanism'' preserving the measured state coherence…

My view on the meaning of the quantum wave function and its connection to protective measurements is described. The wave function and only the wave function is the ontology of the quantum theory. Protective measurements support this view…

Quantum Physics · Physics 2014-02-28 Lev Vaidman

The connection between the problem of scattering a particle on a one-dimensional $\delta$-potential with the "Einstein's boxes" thought experiment is shown. In both cases, the validity of the superposition principle is limited by Einstein's…

General Physics · Physics 2021-10-25 N. L. Chuprikov

We review recent research on the transport properties of classical waves through chaotic systems with special emphasis on microwaves and sound waves. Inasmuch as these experiments use antennas or transducers to couple waves into or out of…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 U. Kuhl , H. -J. Stoeckmann , R. Weaver

Protective measurements, which we have introduced recently, allow to measure properties of the state of a single quantum system and even the Schr\"odinger wave itself. These measurements require a protection, sometimes due to an additional…

High Energy Physics - Theory · Physics 2007-05-23 Yakir Aharonov , Jeeva Anandan , Lev Vaidman

We consider a single copy of a quantum particle moving in a potential and show that it is possible to monitor its complete wave function by only continuously measuring its position. While we assume that the potential is known, no…

Quantum Physics · Physics 2015-05-13 Thomas Konrad , Andreas Rothe , Francesco Petruccione , Lajos Diósi

Protective measurements yield properties of the quantum state of a single quantum system without affecting the quantum state. A protective measurement involves adiabatic coupling to the measuring device together with a procedure to protect…

High Energy Physics - Theory · Physics 2009-10-28 Yakir Aharonov , Lev Vaidman

We show that it is possible to measure Schrodinger wave of a single quantum system. This provides a strong argument for associating physical reality with the quantum state of a single system, and challenges the usual assumption that the…

High Energy Physics - Theory · Physics 2009-10-22 Yakir Aharonov , Lev Vaidman

Weak measurements have thus far been considered instrumental in the so-called direct measurement of the quantum wavefunction [Nature (London) 474, 188 (2011)]. Here we show that direct measurement of the wavefunction can be obtained by…

Quantum Physics · Physics 2016-02-02 Giuseppe Vallone , Daniele Dequal

It has been debated whether protective measurement implies the reality of the wave function. In this paper, I present a new analysis of the relationship between protective measurements and the reality of the wave function. First, I briefly…

Quantum Physics · Physics 2020-01-28 Shan Gao

Central to quantum theory, the wavefunction is the complex distribution used to completely describe a quantum system. Despite its fundamental role, it is typically introduced as an abstract element of the theory with no explicit definition.…

Quantum Physics · Physics 2011-12-16 Jeff S. Lundeen , Brandon Sutherland , Aabid Patel , Corey Stewart , Charles Bamber

Recently proposed idea of "protective" measurement of a quantum state is critically examined, and generalized. Earlier criticisms of the idea are discussed and their relevance to the proposal assessed. Several constraints on measuring…

Quantum Physics · Physics 2011-08-24 N. D. Hari Dass , Tabish Qureshi

Scattering probe particles from a quantum system can provide experimental access to information about the system's state. However, measurement backaction and momentum transfer during scattering changes the state of the system, potentially…

Quantum Physics · Physics 2015-05-04 James S. Douglas , Keith Burnett

In this study, potential scatterings are formulated in experimental setups with Gaussian wave packets in accordance with a probability principle and associativity of products. A breaking of an associativity is observed in scalar products…

Quantum Physics · Physics 2024-08-06 Kenzo Ishikawa

In this work, we simulate the behavior of photons in a laboratory experiment using a quantum computer and examine how the simulation results compare with the theoretical predictions. The experiment involves both protective and…

Quantum Physics · Physics 2025-08-13 Priyasheel Prasad , Marco Russo , Bartolomeo Montrucchio

It was recently pointed out (and demonstrated experimentally) by Lundeen et al. that the wave function of a particle (more precisely, the wave function possessed by each member of an ensemble of identically-prepared particles) can be…

Quantum Physics · Physics 2014-10-30 Travis Norsen , Ward Struyve

The measurement problem of quantum mechanics concerns the question under which circumstances coherent wave evolution becomes disrupted to produce eigenstates of observables, instead of evolving superpositions of eigenstates. The problem…

Quantum Physics · Physics 2024-06-18 Rainer Dick

Quantum mechanics, one of the keystones of modern physics, exhibits several peculiar properties, differentiating it from classical mechanics. One of the most intriguing is that variables might not have definite values. A complete quantum…

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