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Quantum Foundations

Operational Mermin non-locality and All-vs-Nothing arguments

arXiv

Authors: Stefano Gogioso

Year

2015

Paper ID

26768

Status

Preprint

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~2 min

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Abstract

Contextuality is a key resource in quantum information and the device-independent security of quantum algorithms. In this work, we show that the recently developed, operational Mermin non-locality arguments provide a large, novel family of quantum realisable All-vs-Nothing models. In particular, they result in a diverse wealth of quantum realisable models which are maximally contextual (i.e. lie on the faces of the no-signalling polytope with no local elements), and could be used as a resource for the security of a new class of quantum secret sharing algorithms.

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This paper contributes to the Quantum Foundations research area in the Quantum Articles archive.
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Contextuality is a key resource in quantum information and the device-independent security of quantum algorithms.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1510.03419 [2] arXiv https://arxiv.org/abs/1510.03419 [3] Publisher https://arxiv.org/abs/1510.03419

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