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The paper outlines a new development in the Contextuality-by-Default theory as applied to finite systems of binary random variables. The logic and principles of the original theory remain unchanged, but the definition of contextuality of a…

量子物理 · 物理学 2016-10-26 Ehtibar N. Dzhafarov , Janne V. Kujala

Classical probabilistic models of (noisy) quantum systems are not only relevant for understanding the non-classical features of quantum mechanics, but they are also useful for determining the possible advantage of using quantum resources…

量子物理 · 物理学 2020-03-16 Iman Marvian

In this work we present a hierarchy of generalized contextuality. It refines the traditional binary distinction between contextual and noncontextual theories, and facilitates their comparison based on how contextual they are. Our approach…

量子物理 · 物理学 2026-04-22 Lorenzo Catani , Thomas D. Galley , Tomáš Gonda

The ontological models framework distinguishes $\psi$-ontic from $\psi$-epistemic wavefunctions. It is, in general, quite straightforward to categorize the wave-function of a certain quantum theory. Nevertheless, there has been a debate…

量子物理 · 物理学 2023-01-04 Mario Hubert

Epistemic modal logic normally views an epistemic situation as a Kripke model. We consider a more basic approach: to view an epistemic situation as a set W of possible states/worlds -- maximal consistent sets of propositions -- with…

逻辑 · 数学 2016-10-18 Sergei Artemov

We introduce a preparation-dual notion of contextuality, formulated as an obstruction to stochastic extension. In parallel with the sheaf-theoretic formulation of measurement contextuality, preparation contextuality arises when locally…

量子物理 · 物理学 2026-05-05 Tom Williams , Mina Doosti , Farid Shahandeh

Measurement Independence is an assumption used in foundational arguments since the EPR thought experiment in 1935, and assumed in a majority of hidden variable models of QM. In this thesis we review the crucial role of this assumption in…

量子物理 · 物理学 2017-05-09 Indrajit Sen

To make precise the sense in which the operational predictions of quantum theory conflict with a classical worldview, it is necessary to articulate a notion of classicality within an operational framework. A widely applicable notion of…

量子物理 · 物理学 2021-03-03 David Schmid , John Selby , Elie Wolfe , Ravi Kunjwal , Robert W. Spekkens

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

According to a standard view, quantum mechanics (QM) is a contextual theory and quantum probability does not satisfy Kolmogorov's axioms. We show, by considering the macroscopic contexts associated with measurement procedures and the…

量子物理 · 物理学 2019-05-24 Claudio Garola

Within the framework of generalized noncontextuality, we introduce a general technique for systematically deriving noncontextuality inequalities for any experiment involving finitely many preparations and finitely many measurements, each of…

量子物理 · 物理学 2021-06-16 David Schmid , Robert W. Spekkens , Elie Wolfe

We consider a question in what condition a mixed state which can be decomposed in different ways cannot be described by a single set of hidden variables. The condition is closely related with Bell theorem.

量子物理 · 物理学 2025-05-27 Won-Young Hwang

Quantum mechanics notoriously faces the measurement problem, the problem that if read thoroughly, it implies the nonexistence of definite outcomes in measurement procedures. A plausible reaction to this and to related problems is to regard…

量子物理 · 物理学 2016-04-19 Florian Boge

This article presents a formalism inspired by Dennett's notion of the intentional stance. Whereas Dennett's treatment of these concepts is informal, we aim to provide a more formal analogue. We introduce a framework based on stochastic…

最优化与控制 · 数学 2025-01-10 Simon McGregor , timorl , Nathaniel Virgo

In discussion of the interpretation of quantum mechanics the terms `ontic' and `epistemic' are often used in the sense of pertaining to what exists, and pertaining to cognition or knowledge respectively. The terms are also often associated…

量子物理 · 物理学 2024-06-24 Jonte R. Hance , John Rarity , James Ladyman

Generalized contextuality is a hallmark of nonclassical theories like quantum mechanics. Yet, three fundamental computational problems concerning its decidability and complexity remain open. First, determining the complexity of deciding if…

量子物理 · 物理学 2025-06-12 Theodoros Yianni , Farid Shahandeh

In a noncontextual hidden variable model of quantum theory, hidden variables determine the outcomes of every measurement in a manner that is independent of how the measurement is implemented. Using a generalization of this notion to…

量子物理 · 物理学 2009-01-09 Robert W. Spekkens , D. H. Buzacott , A. J. Keehn , Ben Toner , G. J. Pryde

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…

Many protocols and tasks in quantum information science rely inherently on the fundamental notion of contextuality to provide advantages over their classical counterparts, and contextuality represents one of the main differences between…

量子物理 · 物理学 2026-01-01 Carles Roch I Carceller , Jonatan Bohr Brask

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