SwePub
Sök i LIBRIS databas

  Extended search

onr:"swepub:oai:DiVA.org:liu-87981"
 

Search: onr:"swepub:oai:DiVA.org:liu-87981" > A contextual extens...

  • 1 of 1
  • Previous record
  • Next record
  •    To hitlist

A contextual extension of Spekkens' toy model

Larsson, Jan-Åke, 1969- (author)
Linköpings universitet,Informationskodning,Tekniska högskolan,Tekniska fakulteten
 (creator_code:org_t)
American Institute of Physics (AIP), 2012
2012
English.
In: AIP Conference Proceedings. - : American Institute of Physics (AIP). - 0094-243X .- 1551-7616. ; 1424, s. 211-220
  • Journal article (peer-reviewed)
Abstract Subject headings
Close  
  • Quantum systems show contextuality. More precisely, it is impossible to reproduce the quantum-mechanical predictions using a non-contextual realist model, i.e., a model where the outcome of one measurement is independent of the choice of compatible measurements performed in the measurement context. There has been several attempts to quantify the amount of contextuality for specific quantum systems, for example, in the number of rays needed in a KS proof, or the number of terms in certain inequalities, or in the violation, noise sensitivity, and other measures. This paper is about another approach: to use a simple contextual model that reproduces the quantum-mechanical contextual behaviour, but not necessarily all quantum predictions. The amount of contextuality can then be quantified in terms of additional resources needed as compared with a similar model without contextuality. In this case the contextual model needs to keep track of the context used, so the appropriate measure would be memory. Another way to view this is as a memory requirement to be able to reproduce quantum contextuality in a realist model. The model we will use can be viewed as an extension of Spekkens toy model [Phys. Rev. A 75, 032110 (2007)], and the relation is studied in some detail. To reproduce the quantum predictions for the Peres-Mermin square, the memory requirement is more than one bit in addition to the memory used for the individual outcomes in the corresponding noncontextual model.

Keyword

Contextuality; Quantum Mechanics; Hidden Variables; Finite State Machine
TECHNOLOGY
TEKNIKVETENSKAP

Publication and Content Type

ref (subject category)
art (subject category)

Find in a library

To the university's database

  • 1 of 1
  • Previous record
  • Next record
  •    To hitlist

Find more in SwePub

By the author/editor
Larsson, Jan-Åke ...
Articles in the publication
AIP Conference P ...
By the university
Linköping University

Search outside SwePub

Kungliga biblioteket hanterar dina personuppgifter i enlighet med EU:s dataskyddsförordning (2018), GDPR. Läs mer om hur det funkar här.
Så här hanterar KB dina uppgifter vid användning av denna tjänst.

 
pil uppåt Close

Copy and save the link in order to return to this view