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We consider the question whether electromagnetism can be derived from quantum physics of measurements. It turns out that this is possible, both for quantum and classical electromagnetism, if we use more recent innovations such as smearing…

数学物理 · 物理学 2017-01-18 Andreas Andersson

No consensus seems to exist as to what constitutes a measurement which is still considered somewhat mysterious in many respects in quantum mechanics. At successive stages mathematical theory of measure, metrology and measurement theory…

量子物理 · 物理学 2008-11-21 Paolo Rocchi , Orlando Panella

Concentration of measure is studied, and obtained, for stable and related random vectors.

概率论 · 数学 2007-05-23 Christian Houdre , Philippe Marchal

Although a system is described by a well-known set of equations leading to a deterministic behavior, in the real world the value of a measurand obtained by an experiment will mostly scatter. Accordingly, an uncertainty is associated with…

数据分析、统计与概率 · 物理学 2019-06-24 Markus Schiebl

Recently, it has been stated that single-world interpretations of quantum theory are logically inconsistent. The claim is derived from contradicting statements of agents in a setup combining two Wigner's-friend experiments. Those statements…

量子物理 · 物理学 2016-11-04 Veronika Baumann , Arne Hansen , Stefan Wolf

The construction of measurements suitable for discriminating signal components produced by phenomena of different types is considered. The required measurements should be capable of cancelling out those signal components which are to be…

数学物理 · 物理学 2009-08-06 Laura Rebollo-Neira

We give a bound to the precision in the estimation of a parameter in terms of the expectation value of an observable. It is an extension of the Cramer-Rao inequality and of the Heisenberg uncertainty relation, where the estimation precision…

量子物理 · 物理学 2012-07-11 Vittorio Giovannetti , Seth Lloyd , Lorenzo Maccone

Precise definitions of "weak [quantum] measurements" and "weak value" [of a quantum observable] are offered, which seem to capture the meaning of the often vague ways that these terms are used in the literature. Simple finite dimensional…

量子物理 · 物理学 2010-01-11 Stephen Parrott

Determining and measuring cause-effect relationships is fundamental to most scientific studies of natural phenomena. The notion of causation is distinctly different from correlation which only looks at association of trends or patterns in…

统计方法学 · 统计学 2019-10-22 Aditi Kathpalia , Nithin Nagaraj

We establish connections between the requirement of measurability of a probability space and the principle of complimentarity in quantum mechanics. It is shown that measurability of a probability space implies the dependence of results of…

量子物理 · 物理学 2007-05-23 D. A. Slavnov

One of the hallmarks of quantum theory is the realization that distinct measurements cannot in general be performed simultaneously, in stark contrast to classical physics. In this context the notions of coexistence and joint measurability…

量子物理 · 物理学 2013-11-26 David Reeb , Daniel Reitzner , Michael M. Wolf

We analyze the notion that physical theories are quantitative and testable by observations in experiments. This leads us to propose a new, Bayesian, interpretation of probabilities in physics that unifies their current use in classical…

量子物理 · 物理学 2007-05-23 Francis G. Perey

We introduce a new way of quantifying the degrees of incompatibility of two ob- servables in a probabilistic physical theory and, based on this, a global measure of the degree of incompatibility inherent in such theories, across all…

量子物理 · 物理学 2013-08-23 Paul Busch , Teiko Heinosaari , Jussi Schultz , Neil Stevens

In the quantum Bayesian (or QBist) conception of quantum theory, "quantum measurement" is understood not as a comparison of something pre-existent with a standard, but instead indicative of the creation of something new in the universe:…

量子物理 · 物理学 2014-12-17 Christopher Fuchs , Ruediger Schack

The so-called measurement problem of quantum theory (QT) is still lacking a satisfactory, or at least widely agreed upon, solution. A number of theories, known as interpretations of quantum theory, have been proposed and found differing…

量子物理 · 物理学 2016-11-26 Hans H. Diel

The problem of measurement in quantum mechanics is reanalyzed within a general, strictly probabilistic framework (without reduction postulate). Based on a novel comprehensive definition of measurement the natural emergence of objective…

量子物理 · 物理学 2007-05-23 Markus Simonius

We propose a theory of quantum (statistical) measurement which is close, in spirit, to Hepp's theory, which is centered on the concepts of decoherence and macroscopic (classical) observables, and apply it to a model of the Stern-Gerlach…

数学物理 · 物理学 2023-03-01 Walter F. Wreszinski

The measurement process for hidden-configuration formulations of quantum mechanics is analysed. It is shown how a satisfactory description of quantum measurement can be given in this framework. The unified treatment of hidden-configuration…

量子物理 · 物理学 2009-10-30 Giulio Peruzzi , Alberto Rimini

A theory of joint nonideal measurement of incompatible observables is used in order to assess the relative merits of quantum tomography and certain measurements of generalized observables, with respect to completeness of the obtained…

量子物理 · 物理学 2007-05-23 Willem M. de Muynck

We first review and critically examine some basic concepts and ambiguities related to quantum mechanics and quantum measurement to understand the success and shortcomings of current theories. We also touch on ideas regarding expression of…

量子物理 · 物理学 2009-11-05 Fariel Shafee