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Models of a phenomenon are often developed by examining it under different experimental conditions, or measurement contexts. The resultant probabilistic models assume that the underlying random variables, which define a measurable set of…

人工智能 · 计算机科学 2018-02-05 Peter D. Bruza

Quantum contextuality is a source of quantum computational power and a theoretical delimiter between classical and quantum structures. It has been substantiated by numerous experiments and prompted generation of state independent contextual…

量子物理 · 物理学 2019-11-18 Mladen Pavicic

Contextuality is a defining feature that separates the quantum from the classical descriptions of physical systems. Within the marginal-scenario framework, noncontextual models are characterized by the existence of a single joint…

量子物理 · 物理学 2026-04-08 Andrea Navoni , Marco G. Genoni , Andrea Smirne

Contextuality provides a unifying paradigm for nonclassical aspects of quantum probabilities and resources of quantum information. Unfortunately, most forms of quantum contextuality remain experimentally unexplored due to the difficulty of…

量子物理 · 物理学 2016-03-02 Adán Cabello

We present a new and feasible test proving quantum contextuality in four-dimensional Hiltbert space. In our scheme, a contradiction between quantum mechanics and noncontextual hidden variables is revealed through the measurement statistics…

量子物理 · 物理学 2008-06-27 Yoshihiro Nambu

The non-classicality of single quantum systems can be formalised using the notion of contextuality. But can contextuality be convincingly demonstrated in an experiment, without reference to the quantum formalism? The operational approach to…

量子物理 · 物理学 2019-04-19 Matthew F. Pusey , Lídia del Rio , Bettina Meyer

We study the role of context, complex of physical conditions, in quantum as well as classical experiments. It is shown that by taking into account contextual dependence of experimental probabilities we can derive the quantum rule for the…

高能物理 - 理论 · 物理学 2009-11-07 Andrei Khrennikov

In quantum theory, a measurement context is defined by an orthogonal basis in a Hilbert space, where each basis vector represents a specific measurement outcome. The precise quantitative relation between two different measurement contexts…

量子物理 · 物理学 2024-02-14 Ming Ji , Holger F. Hofmann

Quantum contextuality describes situations where the statistics observed in different measurement contexts cannot be explained by a measurement independent reality of the system. The most simple case is observed in a three-dimensional…

量子物理 · 物理学 2024-08-28 Holger F. Hofmann

Contextuality is a foundational phenomenon underlying key differences between quantum theory and classical realistic descriptions of the world. Here we propose an experimental test which is capable of revealing contextuality in all qutrit…

量子物理 · 物理学 2013-09-23 Jayne Thompson , Robert Pisarczyk , Pawel Kurzynski , Dagomir Kaszlikowski

The contextuality and noncontextuality notions are considered in framework of probability representation of quantum states. Example of qutrit states and violation of the noncontextuality inequalities are presented by using the spin tomogram…

量子物理 · 物理学 2013-04-30 A. A. Strakhov , V. I. Man'ko

Contextuality is a central property in comparative analysis of classical, quantum, and supercorrelated systems. We examine and compare two well-motivated approaches to contextuality. One approach ("contextuality-by-default") is based on the…

量子物理 · 物理学 2016-01-21 J. Acacio de Barros , Ehtibar N. Dzhafarov , Janne V. Kujala , Gary Oas

We present a detailed motivation for and definition of the contextual values of an observable, which were introduced by Dressel et al. [Phys. Rev. Lett. 104 240401 (2010)]. The theory of contextual values extends the well-established theory…

量子物理 · 物理学 2012-02-29 J. Dressel , A. N. Jordan

Quantum contextual sets have been recognized as resources for universal quantum computation, quantum steering and quantum communication. Therefore, we focus on engineering the sets that support those resources and on determining their…

量子物理 · 物理学 2023-03-20 Mladen Pavicic

In quantum physics the term `contextual' can be used in more than one way. One usage, here called `Bell contextual' since the idea goes back to Bell, is that if $A$, $B$ and $C$ are three quantum observables, with $A$ compatible (i.e.,…

量子物理 · 物理学 2019-09-19 Robert B. Griffiths

Contextuality is a fundamental manifestation of nonclassicality, indicating that for certain quantum correlations, sets of jointly measurable variables cannot be pre-assigned values independently of the measurement context. In this work, we…

量子物理 · 物理学 2026-01-12 Chellasamy Jebarathinam , R. Srikanth

Contextuality is usually defined as absence of a joint distribution for a set of measurements (random variables) with known joint distributions of some of its subsets. However, if these subsets of measurements are not disjoint,…

量子物理 · 物理学 2017-09-05 Ehtibar Dzhafarov , Janne Kujala

From behavioral sciences to biology to quantum mechanics, one encounters situations where (i) a system outputs several random variables in response to several inputs, (ii) for each of these responses only some of the inputs may "directly"…

概率论 · 数学 2015-09-01 E. N. Dzhafarov , J. V. Kujala

Identifying when observed statistics cannot be explained by any reasonable classical model is a central problem in quantum foundations. A principled and universally applicable approach to defining and identifying nonclassicality is given by…

Contextuality is regarded as a non-classical feature, challenging our everyday intuition; quantum contextuality is currently seen as a resource for many applications in quantum computation, being responsible for quantum advantage over…

量子物理 · 物理学 2020-12-16 Roberto D. Baldijao , Marcelo Terra Cunha
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