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Quantum theory allows for absolute maximal contextuality
, 2015 Contextuality is a fundamental feature of quantum theory and a necessary resource for quantum computation and communication. It is therefore important to investigate how large contextuality can be in quantum theory.
Amaral, Barbara +2 more
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Optimal Classical Simulation of State-Independent Quantum Contextuality. [PDF]
Physical Review Letters, 2017 Simulating quantum contextuality with classical systems requires memory. A fundamental yet open question is what is the minimum memory needed and, therefore, the precise sense in which quantum systems outperform classical ones. Here, we make rigorous the
A. Cabello +3 more
semanticscholar +1 more source
Uniqueness of all fundamental noncontextuality inequalities
Physical Review Research, 2020 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
doaj +1 more source
Quantum contextuality for a relativistic spin-1/2 particle
, 2013 The quantum predictions for a single nonrelativistic spin-1/2 particle can be reproduced by noncontextual hidden variables. Here we show that quantum contextuality for a relativistic electron moving in a Coulomb potential naturally emerges if ...
Adán Cabello +11 more
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The cohomological and the resource-theoretic perspective on quantum contextuality: common ground through the contextual fraction [PDF]
Quantum information & computation, 2018 We unify the resource-theoretic and the cohomological perspective on quantum contextuality. At the center of this unification stands the notion of the contextual fraction.
C. Okay, E. Tyhurst, R. Raussendorf
semanticscholar +1 more source
Contextuality and Indistinguishability
Entropy, 2017 It is well known that in quantum mechanics we cannot always define consistently properties that are context independent. Many approaches exist to describe contextual properties, such as Contextuality by Default (CbD), sheaf theory, topos theory, and non ...
José Acacio de Barros +2 more
doaj +1 more source
Twin inequality for fully contextual quantum correlations
, 2013 Quantum mechanics exhibits a very peculiar form of contextuality. Identifying and connecting the simplest scenarios in which more general theories can or cannot be more contextual than quantum mechanics is a fundamental step in the quest for the ...
A. Cabello +4 more
core +1 more source
Measuring Observable Quantum Contextuality [PDF]
, 2016 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 idea that one and the same physical property measured under different conditions (contexts) is represented by ...
José Acácio de Barros +3 more
openaire +3 more sources
An Order-Theoretic Quantification of Contextuality
Information, 2014 In this essay, I develop order-theoretic notions of determinism and contextuality on domains and topoi. In the process, I develop a method for quantifying contextuality and show that the order-theoretic sense of contextuality is analogous to the sense ...
Ian T. Durham
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Hierarchies of resources for measurement-based quantum computation
New Journal of Physics, 2023 For certain restricted computational tasks, quantum mechanics provides a provable advantage over any possible classical implementation. Several of these results have been proven using the framework of measurement-based quantum computation (MBQC), where ...
Markus Frembs +3 more
doaj +1 more source