|
| | | | |
| | | |
| Stat |
Members: 3645
Articles: 2'503'724
Articles rated: 2609
24 April 2024 |
|
| | | | |
|
Article overview
| |
|
|
Contextuality, Cohomology and Paradox | | Samson Abramsky
; Rui Soares Barbosa
; Kohei Kishida
; Raymond Lal
; Shane Mansfield
; | | Date: |
10 Feb 2015 | | Abstract: | Contextuality is a key feature of quantum mechanics that provides an
important non-classical resource for quantum information and computation.
Abramsky and Brandenburger used sheaf theory to give a general treatment of
contextuality in quantum theory [New Journal of Physics 13 (2011) 113036].
However, contextual phenomena are found in other fields as well, for example
database theory. In this paper, we shall develop this unified view of
contextuality. We provide two main contributions: firstly, we expose a
remarkable connection between contexuality and logical paradoxes; secondly, we
show that an important class of contextuality arguments has a topological
origin. More specifically, we show that "All-vs-Nothing" proofs of
contextuality are witnessed by cohomological obstructions. | | Source: | arXiv, 1502.3097 | | Services: | Forum | Review | PDF | Favorites | |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
browser Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)
|
| |
|
|
|
|
News, job offers and information for researchers and scientists:
| |
REGISTER