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We study the best attainable measurement precision when a double-well trap with bosons inside acts as an interferometer to measure the energy difference of the atoms on the two sides of the trap. We introduce time independent perturbation…

Quantum Physics · Physics 2012-06-12 Juha Javanainen , Han Chen

We formalize the hidden measurement approach within the very general notion of an interactive probability model. We narrow down the model by assuming the state space of a physical entity is a complex Hilbert space and introduce the…

Quantum Physics · Physics 2007-05-23 S. Aerts

This paper aims to show how adoption of a pragmatist interpretation permits a satisfactory resolution of the quantum measurement problem. The classic measurement problem dissolves once one recognizes that it is not the function of the…

Quantum Physics · Physics 2012-08-01 Richard Healey

Classical measurement strategies in many areas are approaching their maximum resolution and sensitivity levels, but these levels often still fall far short of the ultimate limits allowed by the laws of physics. To go further, strategies…

Quantum Physics · Physics 2015-12-09 David S. Simon

Second-generation interferometric gravitational-wave detectors will be operating at the Standard Quantum Limit, a sensitivity limitation set by the trade off between measurement accuracy and quantum back action, which is governed by the…

General Relativity and Quantum Cosmology · Physics 2011-01-28 Yanbei Chen , Stefan L. Danilishin , Farid Ya. Khalili , Helge Müller-Ebhardt

The uncertainty principle sets limit on our ability to predict the values of two incompatible observables measured on a quantum particle simultaneously. This principle can be stated in various forms. In quantum information theory, it is…

Quantum Physics · Physics 2018-09-27 H. Dolatkhah , S. Haseli , S. Salimi , S. A. Khorashad

Superposition principle of wave function in multi-slit interference experiment has been widely accepted by many quantum mechanics textbooks, however the expression ${\psi _{AB}} = {\psi _A} + {\psi _B}$ does not strictly hold. The…

Quantum Physics · Physics 2016-10-28 Xiuzhe Luo , Zhiyuan Wei , Yongjian Han , Chuanfeng Li , Guangcan Guo

In this paper we show a Bell inequality of Clauser-Horne type for three three-dimensional systems (qutrits). Violation of the inequality by quantum mechanics is shown for the case in which each of the three observers measures two…

Quantum Physics · Physics 2007-05-23 Jing-Ling Chen , Dagomir Kaszlikowski , L. C. Kwek , C. H. Oh

We assess the most macroscopic matter-wave experiments to date as to the extent to which they probe the quantum-classical boundary by demonstrating interference of heavy molecules and cold atomic ensembles. To this end, we consider a…

Quantum Physics · Physics 2020-07-14 Björn Schrinski , Stefan Nimmrichter , Klaus Hornberger

Conventional quantum mechanics with a complex Hilbert space and the Born Rule is derived from five axioms describing properties of probability distributions for the outcome of measurements. Axioms I,II,III are common to quantum mechanics…

Quantum Physics · Physics 2015-05-20 Daniel I. Fivel

The Feynman Path Integral formalism has long been used for calculations of probability amplitudes. Over the last few years, it has been extensively used to theoretically demonstrate that the usual application of the superposition principle…

Quantum Physics · Physics 2018-07-20 G. Rengaraj , U. Prathwiraj , Surya Narayan Sahoo , R. Somashekhar , Urbasi Sinha

Quantum interferometry uses quantum resources to improve phase estimation with respect to classical methods. Here we propose and theoretically investigate a new quantum interferometric scheme based on three-dimensional waveguide devices.…

Quantum Physics · Physics 2013-01-09 N. Spagnolo , L. Aparo , C. Vitelli , A. Crespi , R. Ramponi , R. Osellame , P. Mataloni , F. Sciarrino

One of the fundamental problems with the interpretation of Quantum Mechanics, according to Bohr, is the fact that "our usual description of physical phenomena is based entirely on the idea that the phenomena concerned may be observed…

Quantum Physics · Physics 2011-01-26 J. G. Oliveira Junior , J. G. Peixoto de Faria , M. C. Nemes

It is argued that the three assumptions of quantum collapse, one photon-one count, and relativity of simultaneity cannot hold together: Nonlocal correlations can depend on the referential frames of the beam-splitters but not of the…

Quantum Physics · Physics 2009-10-31 Antoine Suarez

In previous articles we presented a simple set of axioms named Contexts, Systems and Modalities (CSM), where the structure of quantum mechanics appears as a result of the interplay between the quantized number of modalities accessible to a…

Quantum Physics · Physics 2022-01-04 Alexia Auffeves , Philippe Grangier

Despite their inextricable quantum mechanical nature, events at a high energy particle collider experiment typically have very few unambiguous quantum signatures, due the type of data and the manner in which they are collected. We present a…

High Energy Physics - Phenomenology · Physics 2022-05-25 Andrew J. Larkoski

We investigate the notion of quantumness based on the non-commutativity of the algebra of observables and introduce a measure of quantumness based on the mutual incompatibility of quantum states. We show that such a quantity can be…

Uncertainty quantification (UQ) is essential for deploying machine learning models in safety-critical physical systems, yet classical Bayesian approaches incur substantial computational overhead. We establish a formal connection between…

Classical approaches often treat interaction as engineered product terms or as emergent patterns in flexible models, offering little control over how synergy or antagonism arises. We take a quantum-inspired view: following the Born rule…

Machine Learning · Computer Science 2025-11-14 Pilsung Kang

Quantum three box paradox is a prototypical example of some bizarre predictions for intermediate measurements made on pre- and post-selected systems. Although in principle those effects can be explained by measurement disturbance, it is not…

Quantum Physics · Physics 2022-01-19 Pawel Blasiak , Ewa Borsuk
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