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Until recently Jeffrey Bub and Itamar Pitowsky, in the framework of an information theoretic view of quantum mechanics, claimed first that to the measurement problem in its ordinary formulation there correspond in effect two measurement…

量子物理 · 物理学 2022-02-02 Federico Laudisa

Quasi-invariant and pseudo-differentiable measures on a Banach space $X$ over a non-Archimedean locally compact infinite field with a non-trivial valuation are defined and constructed. Measures are considered with values in $\bf R$.…

综合数学 · 数学 2007-05-23 Sergey V. Ludkovsky

Consideration of the von Neumann measurement process underlying interference experiments shows that the uncertainty in the incoming wave, responsible for its interference, translates during measurement into an uncertainty at the measuring…

量子物理 · 物理学 2007-05-23 R. Srikanth

The traditional measurement theory interprets the variance as the dispersion of a measured value, which is actually contrary to a general mathematical concept that the variance of a constant is 0. This paper will fully demonstrate that the…

其他统计学 · 统计学 2020-09-22 Huisheng Shi , Xiaoming Ye , Cheng Xing , Shijun Ding

The existence of incompatibility is one of the most fundamental features of quantum theory, and can be found at the core of many of the theory's distinguishing features, such as Bell inequality violations and the no-broadcasting theorem. A…

量子物理 · 物理学 2018-06-27 Sergey N. Filippov , Teiko Heinosaari , Leevi Leppäjärvi

Measurements in quantum theory can fail to be jointly measurable. Like entanglement, this incompatibility of measurements is necessary but not sufficient for violating Bell inequalities. The (in)compatibility relations among a set of…

量子物理 · 物理学 2024-11-21 Shiv Akshar Yadavalli , Nikola Andrejic , Ravi Kunjwal

Measurement incompatibility describes two or more quantum measurements whose expected joint outcome on a given system cannot be defined. This purely non-classical phenomenon provides a necessary ingredient in many quantum information tasks…

量子物理 · 物理学 2020-04-01 Francesco Buscemi , Eric Chitambar , Wenbin Zhou

I suggest that measurement in quantum theory should be regarded as a sense of time (of things happening), which is as important as the conventional relativistic notion of time. A key question -- of basic physical interest whether one…

广义相对论与量子宇宙学 · 物理学 2008-12-15 Adam Helfer

The need for high-throughput, precise, and meaningful methods for measuring behavior has been amplified by our recent successes in measuring and manipulating neural circuitry. The largest challenges associated with moving in this direction,…

生物物理 · 物理学 2017-12-18 Gordon J. Berman

We analyse non ideal quantum measurements described as scattering processes providing an estimator of the measured quantity. The sensitivity is expressed as an equivalent input noise. We address the Von Neumann problem of chained…

量子物理 · 物理学 2007-05-23 Jean-Michel Courty , Francesca Grassia , Serge Reynaud

Measurement incompatibility is one of the cornerstones of quantum theory. This phenomenon appears in many forms, of which the concept of non-joint measurability has received considerable attention in the recent years. In order to…

量子物理 · 物理学 2023-04-05 Juha-Pekka Pellonpää , Sébastien Designolle , Roope Uola

Probability measures by themselves, are known to be inappropriate for modeling the dynamics of plain belief and their excessively strong measurability constraints make them unsuitable for some representational tasks, e.g. in the context of…

人工智能 · 计算机科学 2013-02-28 Emil Weydert

Thermodynamically consistent measurements can either preserve statistics (unbiased) or preserve marginal states (non-invasive) but not both. Here we show the existence of metrological tasks which unequally favor each of the aforementioned…

量子物理 · 物理学 2023-04-28 Muthumanimaran Vetrivelan , Abhisek Panda , Sai Vinjanampathy

The possibility to test quantum measurement theories is discussed in the more phenomenological framework of the quantum nondemolition theory. A simple test of the hypothesis of the state vector collapse is proposed by looking for deviations…

量子物理 · 物理学 2015-05-18 Roberto Onofrio

We show that a von Neumann measurement on a part of a composite quantum system unavoidably creates distillable entanglement between the measurement apparatus and the system if the state has nonzero quantum discord. The minimal distillable…

量子物理 · 物理学 2011-05-03 Alexander Streltsov , Hermann Kampermann , Dagmar Bruß

We propose measurement modeling from the quantitative social sciences as a framework for understanding fairness in computational systems. Computational systems often involve unobservable theoretical constructs, such as socioeconomic status,…

计算机与社会 · 计算机科学 2021-03-16 Abigail Z. Jacobs , Hanna Wallach

The Von Neumann quantum measurement theory and Zurek reformulation are based on an assumption that the quantum system, apparatus and environment obey the quantum mechanics rules. According to the Zurek theory the observers typically…

量子物理 · 物理学 2016-04-26 Niloofar Abbasvandi , M. J. Soleimani , Shahidan Radiman

The experimental realization of successive non-demolition measurements on single microscopic systems brings up the question of ergodicity in Quantum Mechanics (QM). We investigate whether time averages over one realization of a single…

量子物理 · 物理学 2015-04-06 Mariano Bauer , Pier A. Mello

Measurements take a singular role in quantum theory. While they are often idealized as an instantaneous process, this is in conflict with all other physical processes in nature. In this Letter, we adopt a standpoint where the interaction…

量子物理 · 物理学 2023-11-15 Nathan Shettell , Federico Centrone , Luis Pedro García-Pintos

The link between the de Broglie-Bohm interpretation and the hard problem of consciousness is investigated. We highlight that beables of the de Broglie-Bohm interpretation are not themselves qualia, but are intimately related to qualia. It…

物理学史与哲学 · 物理学 2025-02-12 Adam Brownstein