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We prove a theorem which shows that a collection of experimental data of probabilistic weights related to decisions with respect to situations and their disjunction cannot be modeled within a classical probabilistic weight structure in case…

物理与社会 · 物理学 2011-05-13 Diederik Aerts , Bart D'Hooghe , Emmanuel Haven

The broader scope of our investigations is the search for the way in which concepts and their combinations carry and influence meaning and what this implies for human thought. More specifically, we examine the use of the mathematical…

数学物理 · 物理学 2010-04-16 Diederik Aerts

We perform two experiments with the aim to investigate the effects of negation on the combination of natural concepts. In the first experiment, we test the membership weights of a list of exemplars with respect to two concepts, e.g., {\it…

人工智能 · 计算机科学 2015-06-18 Sandro Sozzo

We elaborate a theory for the modeling of concepts using the mathematical structure of quantum mechanics. Concepts are represented by vectors in the complex Hilbert space of quantum mechanics and membership weights of items are modeled by…

综合物理 · 物理学 2012-03-28 Diederik Aerts

We recently performed cognitive experiments on conjunctions and negations of two concepts with the aim of investigating the combination problem of concepts. Our experiments confirmed the deviations (conceptual vagueness, underextension,…

人工智能 · 计算机科学 2016-09-09 Diederik Aerts , Sandro Sozzo , Tomas Veloz

People use conjunctions and disjunctions of concepts in ways that violate the rules of classical logic, such as the law of compositionality. Specifically, they overextend conjunctions of concepts, a phenomenon referred to as the Guppy…

人工智能 · 计算机科学 2013-01-08 Diederik Aerts , Jan Broekaert , Liane Gabora , Tomas Veloz

We extend a quantum model in Hilbert space developed in Aerts (2007a) into a quantum field theoric model in Fock space for the modeling of the combination of concepts. Items and concepts are represented by vectors in Fock space and…

综合物理 · 物理学 2007-05-23 Diederik Aerts

The notorious quantum measurement problem brings out the difficulty to reconcile two quantum postulates: the unitary evolution of closed quantum systems and the wave-function collapse after a measurement. This problematics is particularly…

量子物理 · 物理学 2022-08-24 George Moreno , Ranieri Nery , Cristhiano Duarte , Rafael Chaves

A philosophically consistent axiomatic approach to classical and quantum mechanics is given. The approach realizes a strong formal implementation of Bohr's correspondence principle. In all instances, classical and quantum concepts are fully…

量子物理 · 物理学 2009-11-10 Arnold Neumaier

The transition from classical to quantum mechanics rests on the recognition that the structure of information is not what we thought it was: there are operational, i.e., phenomenal, probabilistic correlations that lie outside the polytope…

量子物理 · 物理学 2015-06-11 Jeffrey Bub

The existence of incompatible measurements is often believed to be a feature of quantum theory which signals its inconsistency with any classical worldview. To prove the failure of classicality in the sense of Kochen-Specker…

量子物理 · 物理学 2024-04-05 John H. Selby , David Schmid , Elie Wolfe , Ana Belén Sainz , Ravi Kunjwal , Robert W. Spekkens

We construct the quantum mechanical model of the COW experiment assuming that the underlying space time has a granular structure, described by a canonical noncommutative algebra of coordinates $x^{\mu}$. The time-space sector of the algebra…

高能物理 - 理论 · 物理学 2014-01-28 Anirban Saha

The Extended Wigner's Friend thought experiment, which involves a quantum system with an agent who draws conclusions based on the results of a measurement of a quantum state provided in two nonorthogonal versions by another agent, led its…

量子物理 · 物理学 2022-11-15 Szymon Łukaszyk

We analyse in this paper the data collected in a set of experiments performed on human subjects on the combination of natural concepts. We investigate the mutual influence of conceptual conjunction and negation by measuring the membership…

人工智能 · 计算机科学 2016-09-09 Diederik Aerts , Sandro Sozzo , Tomas Veloz

The Wigner's friend type of thought experiments manifest the conceptual challenge on how different observers can have consistent descriptions of a quantum measurement event. In this paper, we analyze the extended version of Wigner's friend…

量子物理 · 物理学 2019-11-12 Jianhao M. Yang

The notorious Wigner's friend thought experiment (and modifications thereof) has in recent years received renewed interest especially due to new arguments that force us to question some of the fundamental assumptions of quantum theory. In…

量子物理 · 物理学 2021-05-18 Philippe Allard Guérin , Veronika Baumann , Flavio Del Santo , Časlav Brukner

We explain the quantum structure as due to the presence of two effects, (a) a real change of state of the entity under influence of the measurement and, (b) a lack of knowledge about a deeper deterministic reality of the measurement…

量子物理 · 物理学 2015-06-26 Diederik Aerts

The purpose of this comment is to show that a reinterpretation of the results from the Letter: "Physics and Metaphysics of Wigner's Friends: Even performed pre-measurements have no results" allows for reaching the conclusion…

量子物理 · 物理学 2023-03-23 Konrad Schlichtholz

It was argued [1] that there can be no extension of quantum mechanics with improved predictive power on a measurement freely chosen, independently of any event that is not in its future light cone. The assumption of measurement choice was…

量子物理 · 物理学 2025-12-09 Yiruo Lin

Free categorical constructions characterise quantum computing as the combination of two copies of a reversible classical model, glued by the complementarity equations of classical structures. This recipe effectively constructs a…

编程语言 · 计算机科学 2025-11-25 Jacques Carette , Chris Heunen , Robin Kaarsgaard , Amr Sabry
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