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Journal articles on the topic 'Contextuality'

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Author: Grafiati

Published: 4 June 2021

Last updated: 25 May 2024

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1

Kujala, Janne V., and Ehtibar N. Dzhafarov. "Measures of contextuality and non-contextuality." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 377, no. 2157 (September 16, 2019): 20190149. http://dx.doi.org/10.1098/rsta.2019.0149.

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We discuss three measures of the degree of contextuality in contextual systems of dichotomous random variables. These measures are developed within the framework of the Contextuality-by-Default (CbD) theory, and apply to inconsistently connected systems (those with ‘disturbance’ allowed). For one of these measures of contextuality, presented here for the first time, we construct a corresponding measure of the degree of non-contextuality in non-contextual systems. The other two CbD-based measures do not suggest ways in which degree of non-contextuality of a non-contextual system can be quantified. We find the same to be true for the contextual fraction measure developed by Abramsky, Barbosa and Mansfield. This measure of contextuality is confined to consistently connected systems, but CbD allows one to generalize it to arbitrary systems. This article is part of the theme issue ‘Contextuality and probability in quantum mechanics and beyond’.

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2

Pavičić, Mladen. "Hypergraph Contextuality." Entropy 21, no. 11 (November 12, 2019): 1107. http://dx.doi.org/10.3390/e21111107.

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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 sets, that is, sets of quantum observables capable of revealing quantum contextuality for any quantum state of a given dimension. There are two major classes of state-independent contextual sets—the Kochen-Specker ones and the operator-based ones. In this paper, we present a third, hypergraph-based class of contextual sets. Hypergraph inequalities serve as a measure of contextuality. We limit ourselves to qutrits and obtain thousands of 3-dim contextual sets. The simplest of them involves only 5 quantum observables, thus enabling a straightforward implementation. They also enable establishing new entropic contextualities.

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3

Predelli, Stefano. "Semantic contextuality." Journal of Pragmatics 36, no. 12 (December 2004): 2107–23. http://dx.doi.org/10.1016/j.pragma.2004.01.002.

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4

Pavicic, Mladen. "Quantum Contextuality." Quantum 7 (March 17, 2023): 953. http://dx.doi.org/10.22331/q-2023-03-17-953.

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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 structures and properties. Such engineering and subsequent implementation rely on discrimination between statistics of measurement data of quantum states and those of their classical counterparts. The discriminators considered are inequalities defined for hypergraphs whose structure and generation are determined by their basic properties. The generation is inherently random but with the predetermined quantum probabilities of obtainable data. Two kinds of statistics of the data are defined for the hypergraphs and six kinds of inequalities. One kind of statistics, often applied in the literature, turn out to be inappropriate and two kinds of inequalities turn out not to be noncontextuality inequalities. Results are obtained by making use of universal automated algorithms which generate hypergraphs with both odd and even numbers of hyperedges in any odd and even dimensional space – in this paper, from the smallest contextual set with just three hyperedges and three vertices to arbitrarily many contextual sets in up to 8-dimensional spaces. Higher dimensions are computationally demanding although feasible.

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5

Dzhafarov, Ehtibar N., and Janne V. Kujala. "Contextuality with Disturbance and without: Neither Can Violate Substantive Requirements the Other Satisfies." Entropy 25, no. 4 (March 28, 2023): 581. http://dx.doi.org/10.3390/e25040581.

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Contextuality was originally defined only for consistently connected systems of random variables (those without disturbance/signaling). Contextuality-by-Default theory (CbD) offers an extension of the notion of contextuality to inconsistently connected systems (those with disturbance) by defining it in terms of the systems’ couplings subject to certain constraints. Such extensions are sometimes met with skepticism. We pose the question of whether it is possible to develop a set of substantive requirements (i.e., those addressing a notion itself rather than its presentation form) such that (1) for any consistently connected system, these requirements are satisfied, but (2) they are violated for some inconsistently connected systems. We show that no such set of requirements is possible, not only for CbD but for all possible CbD-like extensions of contextuality. This follows from the fact that any extended contextuality theory T is contextually equivalent to a theory T′ in which all systems are consistently connected. The contextual equivalence means the following: there is a bijective correspondence between the systems in T and T′ such that the corresponding systems in T and T′ are, in a well-defined sense, mere reformulations of each other, and they are contextual or noncontextual together.

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6

Hofer-Szabó, Gábor. "Causal contextuality and contextuality-by-default are different concepts." Journal of Mathematical Psychology 104 (September 2021): 102590. http://dx.doi.org/10.1016/j.jmp.2021.102590.

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7

de Barros, José, Federico Holik, and Décio Krause. "Contextuality and Indistinguishability." Entropy 19, no. 9 (August 23, 2017): 435. http://dx.doi.org/10.3390/e19090435.

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8

Mansfield, Shane. "Contextuality is topological." Quantum Views 4 (February 3, 2020): 31. http://dx.doi.org/10.22331/qv-2020-02-03-31.

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9

Svozil, Karl. "How much contextuality?" Natural Computing 11, no. 2 (March 11, 2012): 261–65. http://dx.doi.org/10.1007/s11047-012-9318-9.

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10

Okay, Cihan, Aziz Kharoof, and Selman Ipek. "Simplicial quantum contextuality." Quantum 7 (May 22, 2023): 1009. http://dx.doi.org/10.22331/q-2023-05-22-1009.

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We introduce a new framework for contextuality based on simplicial sets, combinatorial models of topological spaces that play a prominent role in modern homotopy theory. Our approach extends measurement scenarios to consist of spaces (rather than sets) of measurements and outcomes, and thereby generalizes nonsignaling distributions to simplicial distributions, which are distributions on spaces modeled by simplicial sets. Using this formalism we present a topologically inspired new proof of Fine's theorem for characterizing noncontextuality in Bell scenarios. Strong contextuality is generalized suitably for simplicial distributions, allowing us to define cohomological witnesses that extend the earlier topological constructions restricted to algebraic relations among quantum observables to the level of probability distributions. Foundational theorems of quantum theory such as the Gleason's theorem and Kochen--Specker theorem can be expressed naturally within this new language.

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11

Amaral, Barbara. "Resource theory of contextuality." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 377, no. 2157 (September 16, 2019): 20190010. http://dx.doi.org/10.1098/rsta.2019.0010.

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In addition to the important role of contextuality in foundations of quantum theory, this intrinsically quantum property has been identified as a potential resource for quantum advantage in different tasks. It is thus of fundamental importance to study contextuality from the point of view of resource theories, which provide a powerful framework for the formal treatment of a property as an operational resource. In this contribution, we review recent developments towards a resource theory of contextuality and connections with operational applications of this property. This article is part of the theme issue ‘Contextuality and probability in quantum mechanics and beyond’.

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12

Dzhafarov, Ehtibar N., Janne V. Kujala, Víctor H. Cervantes, Ru Zhang, and Matt Jones. "On contextuality in behavioural data." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 374, no. 2068 (May 28, 2016): 20150234. http://dx.doi.org/10.1098/rsta.2015.0234.

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Dzhafarov et al. (Dzhafarov et al. 2016 Phil. Trans. R. Soc. A 374, 20150099. ( doi:10.1098/rsta.2015.0099 )) reviewed several behavioural datasets imitating the formal design of the quantum-mechanical contextuality experiments. The conclusion was that none of these datasets exhibited contextuality if understood in the generalized sense proposed by Dzhafarov et al. (2015 Found. Phys. 7, 762–782. ( doi:10.1007/s10701-015-9882-9 )), while the traditional definition of contextuality does not apply to these data because they violate the condition of consistent connectedness (also known as marginal selectivity, no-signalling condition, no-disturbance principle, etc.). In this paper, we clarify the relationship between (in)consistent connectedness and (non)contextuality, as well as between the traditional and extended definitions of (non)contextuality, using as an example the Clauser–Horn–Shimony–Holt inequalities originally designed for detecting contextuality in entangled particles.

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13

Khrennikov, Andrei. "Contextuality, Complementarity, Signaling, and Bell Tests." Entropy 24, no. 10 (September 28, 2022): 1380. http://dx.doi.org/10.3390/e24101380.

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This is a review devoted to the complementarity–contextuality interplay with connection to the Bell inequalities. Starting the discussion with complementarity, I point to contextuality as its seed. Bohr contextuality is the dependence of an observable’s outcome on the experimental context; on the system–apparatus interaction. Probabilistically, complementarity means that the joint probability distribution (JPD) does not exist. Instead of the JPD, one has to operate with contextual probabilities. The Bell inequalities are interpreted as the statistical tests of contextuality, and hence, incompatibility. For context-dependent probabilities, these inequalities may be violated. I stress that contextuality tested by the Bell inequalities is the so-called joint measurement contextuality (JMC), the special case of Bohr’s contextuality. Then, I examine the role of signaling (marginal inconsistency). In QM, signaling can be considered as an experimental artifact. However, often, experimental data have signaling patterns. I discuss possible sources of signaling—for example, dependence of the state preparation on measurement settings. In principle, one can extract the measure of “pure contextuality” from data shadowed by signaling. This theory is known as contextuality by default (CbD). It leads to inequalities with an additional term quantifying signaling: Bell–Dzhafarov–Kujala inequalities.

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14

Jaeger, Gregg. "Quantum Contextuality and Indeterminacy." Entropy 22, no. 8 (August 7, 2020): 867. http://dx.doi.org/10.3390/e22080867.

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The circumstances of measurement have more direct significance in quantum than in classical physics, where they can be neglected for well-performed measurements. In quantum mechanics, the dispositions of the measuring apparatus-plus-environment of the system measured for a property are a non-trivial part of its formalization as the quantum observable. A straightforward formalization of context, via equivalence classes of measurements corresponding to sets of sharp target observables, was recently given for sharp quantum observables. Here, we show that quantum contextuality, the dependence of measurement outcomes on circumstances external to the measured quantum system, can be manifested not only as the strict exclusivity of different measurements of sharp observables or valuations but via quantitative differences in the property statistics across simultaneous measurements of generalized quantum observables, by formalizing quantum context via coexistent generalized observables rather than only its subset of compatible sharp observables. Here, the question of whether such quantum contextuality follows from basic quantum principles is then addressed, and it is shown that the Principle of Indeterminacy is sufficient for at least one form of non-trivial contextuality. Contextuality is thus seen to be a natural feature of quantum mechanics rather than something arising only from the consideration of impossible measurements, abstract philosophical issues, hidden-variables theories, or other alternative, classical models of quantum behavior.

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15

Crimmins, Mark. "Contextuality, Reflexivity, Iteration, Logic." Philosophical Perspectives 9 (1995): 381. http://dx.doi.org/10.2307/2214227.

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16

Porter, Michael E., and Nicolaj Siggelkow. "CONTEXTUALITY WITHIN ACTIVITY SYSTEMS." Academy of Management Proceedings 2000, no. 1 (August 2000): F1—F6. http://dx.doi.org/10.5465/apbpp.2000.5438547.

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17

Simmons, Andrew W., Joel J. Wallman, Hakop Pashayan, Stephen D. Bartlett, and Terry Rudolph. "Contextuality under weak assumptions." New Journal of Physics 19, no. 3 (March 17, 2017): 033030. http://dx.doi.org/10.1088/1367-2630/aa5f72.

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18

Griffiths, Robert B. "Quantum measurements and contextuality." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 377, no. 2157 (September 16, 2019): 20190033. http://dx.doi.org/10.1098/rsta.2019.0033.

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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. commuting) with B and also with C , whereas B and C are incompatible, a measurement of A might yield a different result (indicating that quantum mechanics is contextual) depending upon whether A is measured along with B (the { A , B } context) or with C (the { A , C } context). An analysis of what projective quantum measurements measure shows that quantum theory is Bell non-contextual: the outcome of a particular A measurement when A is measured along with B would have been exactly the same if A had, instead, been measured along with C . A different definition, here called ‘globally (non)contextual’ refers to whether or not there is (non-contextual) or is not (contextual) a single joint probability distribution that simultaneously assigns probabilities in a consistent manner to the outcomes of measurements of a certain collection of observables, not all of which are compatible. A simple example shows that such a joint probability distribution can exist even in a situation where the measurement probabilities cannot refer to properties of a quantum system, and hence lack physical significance, even though mathematically well defined. It is noted that the quantum sample space, a projective decomposition of the identity, required for interpreting measurements of incompatible properties in different runs of an experiment using different types of apparatus, has a tensor product structure, a fact sometimes overlooked. This article is part of the theme issue ‘Contextuality and probability in quantum mechanics and beyond’.

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19

de la Torre, Alberto Clemente. "Contextuality in quantum systems." American Journal of Physics 62, no. 9 (September 1994): 808–12. http://dx.doi.org/10.1119/1.17464.

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20

HALIMI, BRICE. "LOGICAL CONTEXTUALITY IN FREGE." Review of Symbolic Logic 11, no. 1 (March 2018): 1–20. http://dx.doi.org/10.1017/s1755020316000320.

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AbstractLogical universalism, a label that has been pinned on to Frege, involves the conflation of two features commonly ascribed to logic: universality and radicality. Logical universality consists in logic being about absolutely everything. Logical radicality, on the other hand, corresponds to there being the one and the same logic that any reasoning must comply with. The first part of this paper quickly remarks that Frege’s conception of logic makes logical universality prevail and does not preclude the admission of different contexts of discourse. The paper then aims to make it clear how Frege’s universalism can make sense of contextuality. Drawing on a suggestion made by Frege in his discussion of Hilbert, it shows that a properly Fregean notion of model can be devised. Taking up a suggestion from Wilfrid Hodges and William Demopoulos that the non-logical constants of a formal language can be compared to indexicals, this paper shows, pace Hodges and Demopoulos, that such an understanding of non-logical constants is not beyond Frege’s horizon. A formal framework, based on the modern tool of fibrations, is set out to explain and justify this point. This framework allows one to compare Frege and Tarski, by formalizing Frege’s suggestion and by presenting Tarski’s semantics in a generalized setting.

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21

de Barros, J. Acacio, Janne V. Kujala, and Gary Oas. "Negative probabilities and contextuality." Journal of Mathematical Psychology 74 (October 2016): 34–45. http://dx.doi.org/10.1016/j.jmp.2016.04.014.

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22

Meng, Huixian, Huaixin Cao, Wenhua Wang, Yajing Fan, and Liang Chen. "Generalized Robustness of Contextuality." Entropy 18, no. 9 (September 1, 2016): 297. http://dx.doi.org/10.3390/e18090297.

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23

Van Eemeren, Frans H., and Peter Houtlosser. "The Contextuality of Fallacies." Informal Logic 27, no. 1 (February 28, 2008): 59. http://dx.doi.org/10.22329/il.v27i1.464.

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Van Eemeren and Houtlosser observe that Walton’s (and Walton and Krabbe’s) notion of ‘dialogue type’ involves a mixture of an empirical notion on a par with a speech event or activity type and a normative notion such as the model of a critical discussion. Then they discuss Walton’s contextual analysis of fallacies as illegitimate dialectical shifts of dialogue types and offer an alternative in which both the empirical and the normative dimension are given their due.

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24

Dzhafarov, Ehtibar N., and Janne V. Kujala. "Probabilistic foundations of contextuality." Fortschritte der Physik 65, no. 6-8 (September 7, 2016): 1600040. http://dx.doi.org/10.1002/prop.201600040.

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25

Dzhafarov, Ehtibar N., and Janne V. Kujala. "Contextuality and Informational Redundancy." Entropy 25, no. 1 (December 21, 2022): 6. http://dx.doi.org/10.3390/e25010006.

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A noncontextual system of random variables may become contextual if one adds to it a set of new variables, even if each of them is obtained by the same context-wise function of the old variables. This fact follows from the definition of contextuality, and its demonstration is trivial for inconsistently connected systems (i.e., systems with disturbance). However, it also holds for consistently connected (and even strongly consistently connected) systems, provided one acknowledges that if a given property was not measured in a given context, this information can be used in defining functions among the random variables. Moreover, every inconsistently connected system can be presented as a (strongly) consistently connected system with essentially the same contextuality characteristics.

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26

Pavičić, Mladen. "Non-Kochen–Specker Contextuality." Entropy 25, no. 8 (July 26, 2023): 1117. http://dx.doi.org/10.3390/e25081117.

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Quantum contextuality supports quantum computation and communication. One of its main vehicles is hypergraphs. The most elaborated are the Kochen–Specker ones, but there is also another class of contextual sets that are not of this kind. Their representation has been mostly operator-based and limited to special constructs in three- to six-dim spaces, a notable example of which is the Yu-Oh set. Previously, we showed that hypergraphs underlie all of them, and in this paper, we give general methods—whose complexity does not scale up with the dimension—for generating such non-Kochen–Specker hypergraphs in any dimension and give examples in up to 16-dim spaces. Our automated generation is probabilistic and random, but the statistics of accumulated data enable one to filter out sets with the required size and structure.

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27

Horodecki, Karol, Jingfang Zhou, Maciej Stankiewicz, Roberto Salazar, Paweł Horodecki, Robert Raussendorf, Ryszard Horodecki, Ravishankar Ramanathan, and Emily Tyhurst. "The rank of contextuality." New Journal of Physics 25, no. 7 (July 1, 2023): 073003. http://dx.doi.org/10.1088/1367-2630/acdf78.

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Abstract Quantum contextuality is one of the most recognized resources in quantum communication and computing scenarios. We provide a new quantifier of this resource, the rank of contextuality (RC). We define RC as the minimum number of non-contextual behaviors that are needed to simulate a contextual behavior. We show that the logarithm of RC is a natural contextuality measure satisfying several properties considered in the spirit of the resource-theoretic approach. The properties include faithfulness, monotonicity, and additivity under tensor product. We also give examples of how to construct contextual behaviors with an arbitrary value of RC exhibiting a natural connection between this quantifier and the arboricity of an underlying hypergraph. We also discuss exemplary areas of research in which the new measure appears as a natural quantifier.

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28

Okay, Cihan, and Robert Raussendorf. "Homotopical approach to quantum contextuality." Quantum 4 (January 5, 2020): 217. http://dx.doi.org/10.22331/q-2020-01-05-217.

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We consider the phenomenon of quantum mechanical contextuality, and specifically parity-based proofs thereof. Mermin’s square and star are representative examples. Part of the information invoked in such contextuality proofs is the commutativity structure among the pertaining observables. We investigate to which extent this commutativity structure alone determines the viability of a parity-based contextuality proof. We establish a topological criterion for this, generalizing an earlier result by Arkhipov.

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29

Jones, Matt. "Relating causal and probabilistic approaches to contextuality." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 377, no. 2157 (September 16, 2019): 20190133. http://dx.doi.org/10.1098/rsta.2019.0133.

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A primary goal in recent research on contextuality has been to extend this concept to cases of inconsistent connectedness, where observables have different distributions in different contexts. This article proposes a solution within the framework of probabi- listic causal models, which extend hidden-variables theories, and then demonstrates an equivalence to the contextuality-by-default (CbD) framework. CbD distinguishes contextuality from direct influences of context on observables, defining the latter purely in terms of probability distributions. Here, we take a causal view of direct influences, defining direct influence within any causal model as the probability of all latent states of the system in which a change of context changes the outcome of a measurement. Model-based contextuality (M-contextuality) is then defined as the necessity of stronger direct influences to model a full system than when considered individually. For consistently connected systems, M-contextuality agrees with standard contextuality. For general systems, it is proved that M-contextuality is equivalent to the property that any model of a system must contain ‘hidden influences’, meaning direct influences that go in opposite directions for different latent states, or equivalently signalling between observers that carries no information. This criterion can be taken as formalizing the ‘no-conspiracy’ principle that has been proposed in connection with CbD. M-contextuality is then proved to be equivalent to CbD-contextuality, thus providing a new interpretation of CbD-contextuality as the non-existence of a model for a system without hidden direct influences. This article is part of the theme issue ‘Contextuality and probability in quantum mechanics and beyond’.

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30

Meng, Hui-Xian, Wen-Hua Wang, Jie Zhou, and Jing-Ling Chen. "Contextuality of a two-qubit state in 4-cycle measurement scenarios." Modern Physics Letters A 33, no. 36 (November 28, 2018): 1850212. http://dx.doi.org/10.1142/s0217732318502127.

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We introduce a quantity of contextuality, i.e. the maximum contextuality of a two-qubit state in 4-cycle measurement scenarios, to study quantum contextuality of two-qubit states for the 4-cycle noncontextual inequalities. Subsequently, we prove several appealing features of this quantity of contextuality, including the faithfulness, the boundedness, the invariance under unitary operations and the convexity. Remarkably, for arbitrary two-qubit state, we reformulate this quantity of contextuality analytically by eigenvalues of the state. Therefore, in 4-cycle measurement scenarios, we establish an efficient way to distinguish two-qubit states that can reveal contextuality from ones that cannot.

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31

Maruyama, Yoshihiro. "Quantum contextuality and cognitive contextuality: The significance of violations of Bell-type inequalities." Biosystems 208 (October 2021): 104472. http://dx.doi.org/10.1016/j.biosystems.2021.104472.

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32

Sulis, William, and Ali Khan. "Contextuality in Collective Intelligence: Not There Yet." Entropy 25, no. 8 (August 11, 2023): 1193. http://dx.doi.org/10.3390/e25081193.

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Type I contextuality or inconsistent connectedness is a fundamental feature of both the classical as well as the quantum realms. Type II contextuality (true contextuality or CHSH-type contextuality) is frequently asserted to be specific to the quantum realm. Nevertheless, evidence for Type II contextuality in classical settings is slowly emerging (at least in the psychological realm). Sign intransitivity can be observed in preference relations in the setting of decision making and so intransitivity in decision making may also yield examples of Type II contextuality. Previously, it was suggested that a fruitful setting in which to search for such contextuality is that of decision making by collective intelligence systems. An experiment was conducted by using a detailed simulation of nest emigration by workers of the ant Temnothorax albipennis. In spite of the intransitivity, these simulated colonies came close to but failed to violate Dzhafarov’s inequality for a 4-cyclic system. Further research using more sophisticated simulations and experimental paradigms is required.

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33

Calis, Halim. "The Theoretical Foundations of Contextual Interpretation of the Qur’an in Islamic Theological Schools and Philosophical Sufism." Religions 13, no. 2 (February 21, 2022): 188. http://dx.doi.org/10.3390/rel13020188.

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Contextual interpretation of the Qur’an has grown in popularity with the rise of Islamic modernism, mostly because of the need to reform Islamic thought and institutions. Although Qur’anic contextualism is a modern concept, this study argues that its theoretical origins can be traced back to classical Islamic scholarship. Most of the Islamic theological schools, as well as the Akbarī School (the school of Ibn al-‘Arabī), a prominent representative of philosophical Sufism, acknowledged the contextuality of the Qur’an by distinguishing between transcendent divine speech and its limited manifestation in human language. Furthermore, Shams al-Dīn al-Fanārī of the Akbarī School developed a hermeneutical theory in which he questioned the authority and the nature of Qur’anic exegesis and emphasized the idea that the Qur’anic text can have multiple meanings, due to the multiplicity of perceptions in different human contexts. I propose that, of the thinking in pre-modern Islamic scholarship, Akbarian scriptural hermeneutics best accommodates the modern practice of reading the Qur’an contextually.

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34

Cervantes, Víctor H., and Ehtibar N. Dzhafarov. "Contextuality Analysis of Impossible Figures." Entropy 22, no. 9 (September 3, 2020): 981. http://dx.doi.org/10.3390/e22090981.

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This paper has two purposes. One is to demonstrate contextuality analysis of systems of epistemic random variables. The other is to evaluate the performance of a new, hierarchical version of the measure of (non)contextuality introduced in earlier publications. As objects of analysis we use impossible figures of the kind created by the Penroses and Escher. We make no assumptions as to how an impossible figure is perceived, taking it instead as a fixed physical object allowing one of several deterministic descriptions. Systems of epistemic random variables are obtained by probabilistically mixing these deterministic systems. This probabilistic mixture reflects our uncertainty or lack of knowledge rather than random variability in the frequentist sense.

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35

KITAJIMA, Yuichiro. "Contextuality in Algebraic Quantum Theory." Journal of the Japan Association for Philosophy of Science 45, no. 1-2 (2018): 23–34. http://dx.doi.org/10.4288/kisoron.45.1-2_23.

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36

Barbosa, Rui Soares, Tom Douce, Pierre-Emmanuel Emeriau, Elham Kashefi, and Shane Mansfield. "Continuous-Variable Nonlocality and Contextuality." Communications in Mathematical Physics 391, no. 3 (March 19, 2022): 1047–89. http://dx.doi.org/10.1007/s00220-021-04285-7.

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37

Douglas, Hall. "On Contextuality in Christian Theology." Toronto Journal of Theology 1, no. 1 (March 1985): 3–16. http://dx.doi.org/10.3138/tjt.1.1.3.

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38

Miloslavsky, Igor G. "Contextuality in the Russian language." Russian Journal of Linguistics 23, no. 3 (December 15, 2019): 731–48. http://dx.doi.org/10.22363/2312-9182-2019-23-3-731-748.

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The modern scientific paradigm of linguistics that replaced comparative historical and linguistic-centric paradigm is focused on the relationship between language and reality which is inherently asymmetric in nature. In this situation, the problem of an accurate and complete mutual understanding of the participants of communication becomes more and more urgent. This problem considered in the framework of cultural studies suggests the division of cultures into high context cultures, i.e. those where the behavior of communication participants does not directly express their goals and intentions, and low context cultures, implying direct and frank manifestations of those intentions. The author applies the idea of high and low contextuality to the Russian language, setting the task of identifying those typical manifestations of Russian discourse in which the linguistic signs show a high dependence on the situational and verbal context, and in this way, by virtue of the language structure, cause difficulties for mutual understanding. From this point of view, the study investigates the polysemy of Russian words and grammatical forms, as well as the conditions in which their unambiguous understanding is or is not achieved. It emphasizes the insufficiency of merely stating the possibility of several solutions and the need for algorithms that provide the only (or not the only) correct solution. The author sees another obstacle for successful communication in hyperonyms that do not have a distinct hyponymic content for each participant of communication. The third obstacle is the omission of the verbal designation of modifying and / or substantial characteristics of reality. The article emphasizes that those who speak Russian, in principle possessing the resources necessary for overcoming these difficulties, seek to use them effectively only in certain specialized areas (science, sports, trade) and do not care about the maximum adequacy of language units and reality in everyday and political discourse. In conclusion, the article describes how to take into account the noted features of the Russian language when consciously learning Russian as a native language, as well as when teaching it as a foreign language.

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Fritz, Tobias, Anthony Leverrier, and Ana Belén Sainz. "Probabilistic models on contextuality scenarios." Electronic Proceedings in Theoretical Computer Science 171 (December 27, 2014): 63–70. http://dx.doi.org/10.4204/eptcs.171.6.

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40

Carù, Giovanni. "On the Cohomology of Contextuality." Electronic Proceedings in Theoretical Computer Science 236 (January 1, 2017): 21–39. http://dx.doi.org/10.4204/eptcs.236.2.

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Wester, Linde. "Almost Equivalent Paradigms of Contextuality." Electronic Proceedings in Theoretical Computer Science 266 (February 27, 2018): 1–22. http://dx.doi.org/10.4204/eptcs.266.1.

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Kleinmann, Matthias, Otfried Gühne, José R. Portillo, Jan-Åke Larsson, and Adán Cabello. "Memory cost of quantum contextuality." New Journal of Physics 13, no. 11 (November 9, 2011): 113011. http://dx.doi.org/10.1088/1367-2630/13/11/113011.

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Thompson, Jayne, Paweł Kurzyński, Su-Yong Lee, Akihito Soeda, and Dagomir Kaszlikowski. "Recent Advances in Contextuality Tests." Open Systems & Information Dynamics 23, no. 02 (June 2016): 1650009. http://dx.doi.org/10.1142/s1230161216500098.

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Our everyday experiences support the hypothesis that physical systems exist independently of the act of observation. Concordant theories are characterized by the objective realism assumption whereby the act of measurement simply reveals preexisting well-defined elements of reality. In stark contrast quantum mechanics portrays a world in which reality loses its objectivity and is in fact created by observation. Quantum contextuality as first discovered by Bell [1] and Kochen-Specker [2] captures aspects of this philosophical clash between classical and quantum descriptions of the world. Here we briefly summarize some of the more recent advances in the field of quantum contextuality. We approach quantum contextuality through its close relation to Bell type nonlocal scenarios and highlight some of the rapidly developing tests and experimental implementations.

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Kocia, Lucas, and Peter Love. "Measurement contextuality and Planck’s constant." New Journal of Physics 20, no. 7 (July 12, 2018): 073020. http://dx.doi.org/10.1088/1367-2630/aacef2.

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Rashkovskiy, Sergey, and Andrei Khrennikov. "Generalized Fock space and contextuality." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 377, no. 2157 (September 16, 2019): 20190096. http://dx.doi.org/10.1098/rsta.2019.0096.

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This paper is devoted to linear space representations of contextual probabilities—in generalized Fock space. This gives the possibility to use the calculus of creation and annihilation operators to express probabilistic dynamics in the Fock space (in particular, the wide class of classical kinetic equations). In this way, we reproduce the Doi–Peliti formalism. The context-dependence of probabilities can be quantified with the aid of the generalized formula of total probability—by the magnitude of the interference term. This article is part of the theme issue ‘Contextuality and probability in quantum mechanics and beyond'.

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Cabello, Adán, and Jan-Åke Larsson. "Quantum contextuality for rational vectors." Physics Letters A 375, no. 2 (December 2010): 99. http://dx.doi.org/10.1016/j.physleta.2010.10.061.

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Dzhafarov, Ehtibar N. "Stochastic unrelatedness, couplings, and contextuality." Journal of Mathematical Psychology 75 (December 2016): 34–41. http://dx.doi.org/10.1016/j.jmp.2016.01.004.

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Strakhov, Alexei A., and Vladimir I. Man’ko. "Contextuality in Tree-Like Graphs." Journal of Russian Laser Research 35, no. 6 (November 2014): 609–16. http://dx.doi.org/10.1007/s10946-014-9468-6.

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Sanz, A. S., and F. Borondo. "Contextuality, decoherence and quantum trajectories." Chemical Physics Letters 478, no. 4-6 (August 2009): 301–6. http://dx.doi.org/10.1016/j.cplett.2009.07.061.

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Stairs, Allen, and Jeffrey Bub. "Correlations, Contextuality and Quantum Logic." Journal of Philosophical Logic 42, no. 3 (April 2, 2013): 483–99. http://dx.doi.org/10.1007/s10992-013-9272-8.

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