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Kochen-Specker theorems assure the breakdown of certain types of non-contextual hidden variable theories through the non-existence of global, holistic frame functions; alas they do not allow us to identify where this breakdown occurs, nor…

量子物理 · 物理学 2014-03-11 Alastair A. Abbott , Cristian S. Calude , Karl Svozil

A number of noncontextual models exist which reproduce different subsets of quantum theory and admit a no-cloning theorem. Therefore, if one chooses noncontextuality as one's notion of classicality, no-cloning cannot be regarded as a…

量子物理 · 物理学 2020-04-29 Matteo Lostaglio , Gabriel Senno

Kochen-Specker contextuality is a fundamental feature of quantum mechanics and a crucial resource for quantum computational advantage and reduction of communication complexity. Its presence is witnessed in empirical data by the violation of…

量子物理 · 物理学 2024-05-15 Raman Choudhary , Rui Soares Barbosa , Adán Cabello

Violation of a noncontextuality inequality or the phenomenon referred to `quantum contextuality' is a fundamental feature of quantum theory. In this article, we derive a novel family of noncontextuality inequalities along with their…

量子物理 · 物理学 2022-03-07 Debashis Saha , Rafael Santos , Remigiusz Augusiak

Solid experimental evidence has now been obtained that confirms the violation of Bell's inequality in tests of maximally entangled qubit pairs. This violation is widely interpreted as definitive proof of the impossibility of describing…

量子物理 · 物理学 2025-10-20 David H. Oaknin

Quantum systems show contextuality. More precisely, it is impossible to reproduce the quantum-mechanical predictions using a non-contextual realist model, i.e., a model where the outcome of one measurement is independent of the choice of…

量子物理 · 物理学 2014-09-25 Jan-Åke Larsson

We present a simple experimental scheme which can be used to demonstrate an all-or-nothing type contradiction between non-contextual hidden variables and quantum mechanics. The scheme, which is inspired by recent ideas by Cabello and…

量子物理 · 物理学 2009-11-06 Christoph Simon , Marek Zukowski , Harald Weinfurter , Anton Zeilinger

Bell non-local correlations cannot be naturally explained in a fixed causal structure. This serves as a motivation for considering models where no global assumption is made beyond logical consistency. The assumption of a fixed causal order…

量子物理 · 物理学 2016-04-06 Ämin Baumeler , Stefan Wolf

It is currently widely accepted, as a result of Bell's theorem and related experiments, that quantum mechanics is inconsistent with local realism and there is the so called quantum non-locality. We show that such a claim can be justified…

量子物理 · 物理学 2007-05-23 Andrei Khrennikov , Igor Volovich

As a phenomenon encompassing measurement incompatibility and Bell nonlocality, quantum contextuality is not only central to our understanding of quantum mechanics, but also an essential resource in many quantum information processing tasks.…

量子物理 · 物理学 2024-03-19 Xiao-Dong Yu , Isadora Veeren , Otfried Gühne

Meyer, Kent and Clifton (MKC) claim to have nullified the Bell-Kochen-Specker (Bell-KS) theorem. It is true that they invalidate KS's account of the theorem's physical implications. However, they do not invalidate Bell's point, that quantum…

量子物理 · 物理学 2007-05-23 D. M. Appleby

A model of reality is called separable if the state of a composite system is equal to the union of the states of its parts, located in different regions of space. Spekkens has argued that it is trivial to reproduce the predictions of…

量子物理 · 物理学 2016-01-06 Jacques Pienaar

Contextuality is considered as one of the most distinctive features of nonclassical systems. Here, we show that a Spekkens contextual system (which previous work has shown is a necessary condition for nonclassicality) formed of an…

量子物理 · 物理学 2026-05-14 Enrico Bozzetto , Jonte R. Hance

In the paper it is shown that the Kochen-Specker theorem follows from Burnside's theorem on noncommutative algebras. Accordingly, contextuality (as an impossibility of assigning binary values to projection operators independently of their…

量子物理 · 物理学 2018-03-21 Arkady Bolotin

Extendability of an empirical model was shown by Abramsky & Brandenburger to correspond in a unified manner to both locality and non-contextuality. We develop their approach by presenting a refinement of the notion of extendability that can…

量子物理 · 物理学 2014-02-21 Shane Mansfield , Rui Soares Barbosa

Quantum contextuality is a concept used to describe the property of hidden-variable theory that measurement outcomes predetermined by the hidden variables depend on the measurement context. The term measurement context can have different…

量子物理 · 物理学 2026-05-27 Anton Skott , Jan-Åke Larsson

A new quantum ontology of quantum mechanics has been proposed recently. This ontology is based on impossible to realize measurements which need to be performed repeatedly on the same single physical system or on the same pair of physical…

量子物理 · 物理学 2016-02-11 Marian Kupczynski

Bell inequalities may only be derived, if hidden variables do not depend on the experimental settings. The stochastic independence of hidden and setting variables is called: freedom of choice, free will, measurement independence or no…

量子物理 · 物理学 2022-04-01 Marian Kupczynski

Contextuality lays at the heart of quantum mechanics. In the prevailing opinion it is considered as a signature of 'quantumness' that classical theories lack. However, this assertion is only partially justified. Although contextuality is…

量子物理 · 物理学 2015-02-26 Pawel Blasiak

Ontological theories of quantum mechanics provide a realistic description of single systems by means of well-defined quantities conditioning the measurement outcomes. In order to be complete, they should also fulfil the minimal condition of…

量子物理 · 物理学 2011-08-23 Zeqian Chen , Alberto Montina
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