• Corpus ID: 235458228

Contextuality without incompatibility

@inproceedings{Selby2021ContextualityWI,
  title={Contextuality without incompatibility},
  author={John H. Selby and David Schmid and Elie Wolfe and Ana Bel{\'e}n Sainz and Ravi Kunjwal and Robert W. Spekkens},
  year={2021}
}
John H. Selby, ∗ David Schmid, 3 Elie Wolfe, Ana Belén Sainz, Ravi Kunjwal, and Robert W. Spekkens International Centre for Theory of Quantum Technologies, University of Gdańsk, 80-308 Gdańsk, Poland Perimeter Institute for Theoretical Physics, 31 Caroline Street North, Waterloo, Ontario Canada N2L 2Y5 Institute for Quantum Computing and Department of Physics and Astronomy, University of Waterloo, Waterloo, Ontario N2L 3G1, Canada Centre for Quantum Information and Communication, Ecole… 

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References

SHOWING 1-10 OF 43 REFERENCES
Noncontextuality as a meaning of classicality in Quantum Darwinism
Roberto D. Baldijão,1, ∗ Rafael Wagner,2, 3, 4 Cristhiano Duarte,5, 6, 7 Bárbara Amaral,3 and Marcelo Terra Cunha8 Institute of Physics ‘Gleb Wataghin’, University of Campinas–UNICAMP, 13083-859,
Negativity and contextuality are equivalent notions of nonclassicality.
TLDR
It is demonstrated that the impossibility of noncontextuality or non-negativity in quantum theory with a novel proof that is symmetric in its treatment of measurements and preparations.
Contextual advantage for state-dependent cloning
TLDR
This work derives a noise-robust noncontextuality inequality whose violation by quantum theory not only implies a quantum advantage for the task of state-dependent cloning relative to noncontextual models, but also provides an experimental witness of non contextuality.
Contextuality for preparations, transformations, and unsharp measurements
The Bell-Kochen-Specker theorem establishes the impossibility of a noncontextual hidden variable model of quantum theory, or equivalently, that quantum theory is contextual. In this paper, an
State independent contextuality advances one-way communication
TLDR
This article presents a family of distributed computing tasks pertaining to every logical proof of Kochen–Specker contextuality in two different one-way communication scenarios and shows that quantum communication comprised of every KS set of vectors outperforms classical communication and perfectly accomplish the task in both the aforementioned scenarios.
Hypergraph framework for irreducible noncontextuality inequalities from logical proofs of the Kochen-Specker theorem
TLDR
This work introduces a hypergraph framework to obtain noise-robust witnesses of contextuality from such scenarios, and relies on a single hypergraph invariant, defined in R. Kunjwal, Quantum 3, 184 (2019), that appears in the authors' contextuality witnesses, namely, the weighted max-predictability.
Revealing quantum contextuality using a single measurement device by generalizing measurement non-contextuality
In this letter we generalize Spekkens’ notion of measurement non-contextuality (NC). We show that any non-contextual ontological model based on this notion of contextuality fails to explain the
Certifying Quantum Signatures in Thermodynamics and Metrology via Contextuality of Quantum Linear Response.
I identify a fundamental difference between classical and quantum dynamics in the linear response regime by showing that the latter is, in general, contextual. This allows me to provide an example of
Contextuality beyond the Kochen-Specker theorem
When it isn't possible to tell two distinct experimental procedures apart purely from their input/output statistics, then it seems a plausible hypothesis that the two procedures must be physically
An experimental test of noncontextuality without unphysical idealizations
TLDR
This work shows how to devise tests that are free of idealizations that real experiments cannot achieve, namely noiseless measurements and exact operational equivalences, and performs a photonic implementation of one such test, ruling out noncontextual models with high confidence.
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