Mermin Non-Locality in Abstract Process Theories
نویسندگان
چکیده
منابع مشابه
Mermin Non-Locality in Abstract Process Theories
The study of non-locality is fundamental to the understanding of quantum mechanics. The past 50 years have seen a number of non-locality proofs, but its fundamental building blocks, and the exact role it plays in quantum protocols, has remained elusive. In this paper, we focus on a particular flavour of non-locality, generalising Mermin’s argument on the GHZ state. Using strongly complementary ...
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Introduction Mermin non-locality generalised to abstract process theories Introduction Mermin non-locality generalised to abstract process theories Here we give the full necessary and sufficient conditions for Mermin non-locality of an abstract process theory: Mermin non-locality ⇐⇒ algebraically non-trivial phases
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We broadly generalise Mermin-type arguments on GHZ states, and we provide exact group-theoretic conditions for non-locality to be achieved. Our results are of interest in quantum foundations, where they yield a new hierarchy of quantum-realisable All-vsNothing arguments. They are also of interest to quantum protocols, where they find immediate application to a non-trivial extension of the hybri...
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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 of [9] provide a large, novel family of quantum realisable All-vs-Nothing models [1]. In particular, they result in a diverse wealth of quantum realisable models which are maximally contextu...
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ژورنال
عنوان ژورنال: Electronic Proceedings in Theoretical Computer Science
سال: 2015
ISSN: 2075-2180
DOI: 10.4204/eptcs.195.17