Thumbnail Image
Publication

Subsystems of a finite quantum system and Bell-like inequalities

Publication Date
2014
End of Embargo
Supervisor
Keywords
Hidden-variables, ; Mechanics
Rights
(c) 2014 The Author. This is an Open Access article distributed under the Creative Commons CC-BY license (http://creativecommons.org/licenses/by/3.0)
Peer-Reviewed
Yes
Open Access status
Accepted for publication
Institution
Department
Awarded
Embargo end date
Collections
Engineering and Digital Technology Publications
Show all metadata
Files
Thumbnail Image
vourdas_2014.pdf
Adobe PDF, 707.07 KB
Additional title
Abstract
The set of subsystems Sigma(m) of a finite quantum system Sigma(n) with variables in Z(n) together with logical connectives, is a Heyting algebra. The probabilities tau(m vertical bar rho(n)) Tr vertical bar B(m)rho(n)] (where B(m) is the projector to Sigma(m)) are compatible with associativity of the join in the Heyting algebra, only if the variables belong to the same chain. Consequently, contextuality in the present formalism, has the chains as contexts. Various Bell-like inequalities are discussed. They are violated, and this proves that quantum mechanics is a contextual theory.
URI
http://hdl.handle.net/10454/10806
Version
Published version
Citation
Vourdas A (2014) Subsystems of a finite quantum system and Bell-like inequalities. Journal of Physics: Conference Series. 512: 012036.
Link to publisher’s version
Link to published version
Link to Version of Record
https://doi.org/10.1088/1742-6596/512/1/012036
Type
Article
Qualification name
Notes