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Given an arbitrary statistical theory, different from quantum mechanics, how to decide which are the nonclassical correlations? We present a formal framework which allows for a definition of nonclassical correlations in such theories,…

量子物理 · 物理学 2016-11-26 F. Holik , C. Massri , A. Plastino

Quantum nonlocality and contextuality are two phenomena stemming from nonclassical correlations. Whereas the former requires entanglement that is consumed in the measurement process the latter can occur for any state if one chooses a proper…

量子物理 · 物理学 2016-05-11 Marek Wajs , Su-Yong Lee , Pawel Kurzynski , Dagomir Kaszlikowski

This paper provides a systematic yet accessible presentation of the Contextuality-by-Default theory. The consideration is confined to finite systems of categorical random variables, which allows us to focus on the basics of the theory…

概率论 · 数学 2016-05-30 Ehtibar N. Dzhafarov , Janne V. Kujala

Finding quantitative aspects of quantum phenomena which cannot be explained by any classical model has foundational importance for understanding the boundary between classical and quantum theory. It also has practical significance for…

量子物理 · 物理学 2018-02-06 David Schmid , Robert W. Spekkens

We consider the contextual fraction as a quantitative measure of contextuality of empirical models, i.e. tables of probabilities of measurement outcomes in an experimental scenario. It provides a general way to compare the degree of…

量子物理 · 物理学 2017-08-09 Samson Abramsky , Rui Soares Barbosa , Shane Mansfield

We theoretically introduce and experimentally demonstrate the realization of a nonclassicality test that allows for arbitrarily low detection efficiency without invoking any extra assumptions as independence of the devices. Our test and its…

量子物理 · 物理学 2020-09-30 A. Hameedi , B. Marques , P. Mironowicz , D. Saha , M. Pawlowski , M. Bourennane

There are two different and logically independent concepts of noncontextuality in quantum mechanics. First, an ontological (hidden variable) model for quantum mechanics is called noncontextual if every ontic (hidden) state determines the…

量子物理 · 物理学 2022-03-03 Gábor Hofer-Szabó

Contextuality is a key characteristic that separates quantum from classical phenomena and an important tool in understanding the potential advantage of quantum computation. However, when assessing the quantum resources available for quantum…

量子物理 · 物理学 2026-03-04 Maiyuren Srikumar , Stephen D. Bartlett , Angela Karanjai

We present and experimentally demonstrate a novel non-classical phenomenon, bi-contextuality, observed in quantum systems prepared by two independent sources. This discovery plays a key role in the developing framework of network…

We introduce a framework to describe probabilistic models in Bell experiments, and more generally in contextuality scenarios. Such a scenario is a hypergraph whose vertices represent elementary events and hyperedges correspond to…

量子物理 · 物理学 2014-12-31 Tobias Fritz , Anthony Leverrier , Ana Belén Sainz

Contextuality is one way of capturing the non-classicality of quantum theory. The contextual nature of a theory is often witnessed via the violation of non-contextuality inequalities---certain linear inequalities involving probabilities of…

量子物理 · 物理学 2020-07-08 Kishor Bharti , Atul Singh Arora , Leong Chuan Kwek , Jérémie Roland

Contextuality is a central feature of quantum theory, traditionally understood as the impossibility of reproducing quantum measurement statistics using noncontextual ontological models. We study classical ontological descriptions in which a…

人工智能 · 计算机科学 2026-04-16 Song-Ju Kim

This is a non-technical introduction into theory of contextuality. More precisely, it presents the basics of a theory of contextuality called Contextuality-by-Default (CbD). One of the main tenets of CbD is that the identity of a random…

概率论 · 数学 2022-01-13 Ehtibar N. Dzhafarov

We take a resource-theoretic approach to the problem of quantifying nonclassicality in Bell scenarios. The resources are conceptualized as probabilistic processes from the setting variables to the outcome variables having a particular…

量子物理 · 物理学 2020-07-01 Elie Wolfe , David Schmid , Ana Belén Sainz , Ravi Kunjwal , Robert W. Spekkens

It is commonly believed that failures of tomographic completeness undermine assessments of nonclassicality in noncontextuality experiments. In this work, we study how such failures can indeed lead to mistaken assessments of nonclassicality.…

Contextuality and nonlocality are non-classical properties exhibited by quantum statistics whose implications profoundly impact both foundations and applications of quantum theory. In this paper we provide some insights into logical…

量子物理 · 物理学 2021-08-11 Leonardo Santos , Barbara Amaral

Contextuality is often referred to as a generalization of non-locality. In this work, using the hypergraph approach for contextuality we show how to associate a contextual scenario to a general k-partite non local game, and consider the…

量子物理 · 物理学 2021-09-07 Sacha Huriot-Tattegrain , Mehdi Mhalla

We introduce a contextual quantum system comprising mutually complementary observables organized into two or more collections of pseudocontexts with the same probability sums of outcomes. These pseudocontexts constitute non-orthogonal bases…

量子物理 · 物理学 2024-04-05 Mirko Navara , Karl Svozil

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

Contextuality is a natural generalization of nonlocality which does not need composite systems or spacelike separation and offers a wider spectrum of interesting phenomena. Most notably, in quantum mechanics there exist scenarios where the…