Operational Mermin non-locality and All-vs-Nothing arguments
Quantum Physics
2015-10-14 v1 Cryptography and Security
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.
Keywords
Cite
@article{arxiv.1510.03419,
title = {Operational Mermin non-locality and All-vs-Nothing arguments},
author = {Stefano Gogioso},
journal= {arXiv preprint arXiv:1510.03419},
year = {2015}
}