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Understanding the invasive nature of quantum measurement and its implications in quantum foundations and information science demands a mathematically rigorous and physically well-grounded characterization of intrinsic back-action in general…

Measurements on classical systems are usually idealized and assumed to have infinite precision. In practice, however, any measurement has a finite resolution. We investigate the theory of non-ideal measurements in classical mechanics using…

量子物理 · 物理学 2014-05-27 Lars M. Johansen , Amir Kalev , Pier A. Mello

We discuss the definition of quantum probability in the context of "timeless" general--relativistic quantum mechanics. In particular, we study the probability of sequences of events, or multi-event probability. In conventional quantum…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Frank Hellmann , Mauricio Mondragon , Alejandro Perez , Carlo Rovelli

A modified form of quantum mechanics which includes a new mechanism for wavefunction collapse is proposed. The collapse provides a solution to the quantum measurement problem. This modified quantum mechanics is shown to arise naturally from…

量子物理 · 物理学 2025-05-21 Martin J. Leckey , Adrian P. Flitney

The origin of non-classical correlations is difficult to identify since the uncertainty principle requires that information obtained about one observable invariably results in the disturbance of any other non-commuting observable. Here,…

量子物理 · 物理学 2014-07-01 Holger F. Hofmann

We re-use some original ideas of de~Broglie, Schr\"odiger, Dirac and Feynman to revise the ensemble interpretation of wave function in quantum mechanics. To this end we introduce coherence (auto-concordance) of ensembles of quantum…

量子物理 · 物理学 2025-04-25 Vladimir V. Kisil

Quantum measurements have intrinsic properties which seem incompatible with our everyday-life macroscopic measurements. Macroscopic Quantum Measurement (MQM) is a concept that aims at bridging the gap between well understood microscopic…

量子物理 · 物理学 2018-01-17 Marc-Olivier Renou , Nicolas Gisin , Florian Fröwis

We study evolution of a quantum particle in a harmonic potential whose position and momentum are repeatedly monitored. A back-action of measuring devices is accounted for. Our model utilizes a generalized measurement corresponding to the…

量子物理 · 物理学 2023-06-16 Filip Gampel , Mariusz Gajda

We propose that the mechanism responsible for the ``collapse of the wave function" (or "decoherence" in its broadest meaning) in quantum mechanics is the nonlinearities already present in the theory via nonabelian gauge interactions. Unlike…

量子物理 · 物理学 2007-05-23 Johan Hansson

The topic of measurement in relativistic quantum field theory is addressed in this article. Some of the long standing problems of this subject are highlighted, including the incompatibility of an instantaneous ``collapse of the…

数学物理 · 物理学 2024-11-21 Christopher J. Fewster , Rainer Verch

We generalize and extend the stochastic path integral formalism and action principle for continuous quantum measurement introduced in [A. Chantasri, J. Dressel and A. N. Jordan, Phys. Rev. A {\bf 88}, 042110 (2013)], where the optimal…

量子物理 · 物理学 2015-09-23 Areeya Chantasri , Andrew N. Jordan

I study the quantum mechanics of a spin interacting with an ``apparatus''. Although the evolution of the whole system is unitary, the spin evolution is not. The system is chosen so that the spin exhibits loss of quantum coherence, or…

高能物理 - 理论 · 物理学 2010-04-08 Andreas Albrecht

In this work we obtain a nondemolition variable for the case in which a charged particle moves in the electric and gravitational fields of a spherical body. Afterwards we consider the continuous monitoring of this nondemolition parameter,…

广义相对论与量子宇宙学 · 物理学 2009-11-07 Abel Camacho , Abel Camacho-Galvan

We consider Feynman's path integral approach to quantum mechanics with a noncommutativity in position and momentum sectors of the phase space. We show that a quantum-mechanical system with this kind of noncommutativity is equivalent to the…

高能物理 - 理论 · 物理学 2007-05-23 Branko Dragovich , Zoran Rakic

Two of the most common interpretations of quantum measurement disagree about the fate of quantum amplitudes after measurement, yet this disagreement has not previously led to experimentally distinguishable predictions. In the standard…

量子物理 · 物理学 2026-03-17 Christoph Adami , Lambert Giner , Jeff S. Lundeen , Raphael A. Abrahao

The transverse group associated to some continuous quantum measuring processes is analyzed in the presence of nonvanishing gravitational fields. This is done considering, as an exmaple, the case of a particle whose coordinates are being…

广义相对论与量子宇宙学 · 物理学 2009-10-31 Abel Camacho Quintana

The transformation of the path integral measure under the reduction procedure in the dynamical systems with a symmetry is considered. The investigation is carried out in the case of the Wiener--type path integrals that are used for…

数学物理 · 物理学 2009-11-10 S. N. Storchak

Detailed understanding of physical measurements is essential for devising efficient metrological strategies and measurement-feedback schemes, as well as finding fundamental limitations on measurement sensitivity. In the quantum regime,…

量子物理 · 物理学 2025-09-01 F. Bemani , O. Černotík , R. Filip

Consider a statistical model with an epistemic restriction such that, unlike in classical mechanics, the allowed distribution of positions is fundamentally restricted by the form of an underlying momentum field. Assume an agent (observer)…

量子物理 · 物理学 2020-05-15 Agung Budiyono

Measurement of an observable on a quantum system involves a probabilistic collapse of the quantum state and a corresponding measurement outcome. L\"uders and von Neumann state update rules attempt to describe the above phenomenological…

量子物理 · 物理学 2019-08-19 C. S. Sudheer Kumar , Abhishek Shukla , T. S. Mahesh