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Contextuality in Classical Physics and Its Impact on the Foundations of Quantum Mechanics
It is shown that the hallmark quantum phenomenon of contextuality is present in classical statistical mechanics (CSM). It is first shown that the occurrence of contextuality is equivalent to there being observables that can differentiate between pure and
Fritiof Wallentin
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Contextuality as a resource for measurement-based quantum computation beyond qubits
Contextuality—the obstruction to describing quantum mechanics in a classical statistical way—has been proposed as a resource that powers quantum computing.
Markus Frembs +2 more
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Contextual Fraction as a Measure of Contextuality [PDF]
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 contextuality across measurement scenarios; it bears a precise relationship to violations of Bell inequalities; its value,
Abramsky, Samson +2 more
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Measures of contextuality and non-contextuality [PDF]
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).
Janne V. Kujala, Ehtibar N. Dzhafarov
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State independent contextuality advances one-way communication
Although ‘quantum contextuality’ is one of the most fundamental non-classical feature, its generic role in information processing and computation is an open quest.
Debashis Saha +2 more
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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).
Karol Horodecki +8 more
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Uniqueness of all fundamental noncontextuality inequalities
Contextuality is one way of capturing the nonclassicality of quantum theory. The contextual nature of a theory is often witnessed via the violation of noncontextuality inequalities—certain linear inequalities involving probabilities of measurement events.
Kishor Bharti +3 more
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Resource theory of contextuality for arbitrary prepare-and-measure experiments
Contextuality has been identified as a potential resource responsible for the quantum advantage in several tasks. It is then necessary to develop a resource-theoretic framework for contextuality, both in its standard and generalized forms.
Amaral, Barbara, Duarte, Cristhiano
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Quantum nonlocality via local contextuality with qubit-qubit entanglement
Quantum nonlocality can be revealed "via local contextuality" in qudit-qudit entangled systems with $d > 2$, that is, through the violation of inequalities containing Alice-Bob correlations that admit a local description, and Alice-Alice correlations ...
Cabello, Adán +3 more
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Quantum contextuality of a single neutrino under interactions with matter
We study contextuality of the three neutrinos oscillations using the Klyachko–Can–Binicioglu–Shumovsky 5-observable test. We show how the interaction between neutrinos and normal matter affects contextuality—its loss and its possible revivals.
Monika Richter-Laskowska +2 more
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