Paper Info
Title
The logic and topology of non-locality and contextuality
Abstract
Bell’s theorem famously shows that no local theory can account for the predictions of quantum mechanics; while the Kochen-Specker theorem shows the same for non-contextual theories. Non-locality, and increasingly also contextuality, play an important role as computational resources in current work on quantum information. Much has been written on these matters, but there is surprisingly little unanimity even on basic definitions or the inter-relationships among the various concepts and results. We use the mathematical language of sheaves and monads to give a very general and mathematically robust description of the behaviour of systems in which one or more measurements can be selected, and one or more outcomes observed. In particular, we give a unified account of contextuality and non-locality in this setting.
Year
DOI
Venue
2011
10.1007/978-3-642-21341-0_1
UC
Field
DocType
Citations 
Quantum nonlocality,Unanimity,Computer science,Language of mathematics,Quantum information,Monad (functional programming),Calculus,Kochen–Specker theorem
Conference
1
PageRank 
References 
Authors
0.39
0
1
Name
Order
Citations
PageRank
Samson Abramsky13169348.51