Journal article
Contextual fraction as a measure of contextuality
- Abstract:
- We consider the contextual fraction as a quantitative measure of contextuality of empirical models, i.e. tables of probabilities of measurement outcomes in an experimental scenario. It provides a general way to compare the degree of contextuality across measurement scenarios; it bears a precise relationship to violations of Bell inequalities; its value, and a witnessing inequality, can be computed using linear programming; it is monotone with respect to the “free” operations of a resource theory for contextuality; and it measures quantifiable advantages in informatic tasks, such as games and a form of measurement based quantum computing.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
Actions
Access Document
- Files:
-
-
(Preview, Accepted manuscript, pdf, 714.2KB, Terms of use)
-
- Publisher copy:
- 10.1103/PhysRevLett.119.050504
Authors
+ Fundação para a Ciência e
Tecnologia
More from this funder
- Funding agency for:
- Barbosa, R
- Grant:
- SFRH/BD/94945/2013
- SFRH/BD/94945/2013 (R. S. B.
+ Oxford Martin School
More from this funder
- Funding agency for:
- Abramsky, S
- Barbosa, R
- Grant:
- James Martin Program on Bio-inspired Quantum Technologies
- SFRH/BD/94945/2013
- James MartinProgramonBio-inspiredQuantumTechnologies (S.A.,S.M.,
- R.S.B
+ Engineering and Physical Sciences Research Council
More from this funder
- Funding agency for:
- Abramsky, S
- Barbosa, R
- Grant:
- James Martin Program on Bio-inspired Quantum Technologies
- SFRH/BD/94945/2013
- EP/N018745/1, Contextuality as a Resource in Quantum Computation
+ Fondation Sciences
Mathématiques de Paris
More from this funder
- Grant:
- eotpFIELD15RPOMT-FSMP1, Contextual Semantics for Quantum Theory (S. M.
- Publisher:
- American Physical Society
- Journal:
- Physical Review Letters More from this journal
- Volume:
- 119
- Issue:
- 5
- Article number:
- 050504
- Publication date:
- 2017-08-04
- Acceptance date:
- 2017-06-15
- DOI:
- EISSN:
-
1079-7114
- ISSN:
-
0031-9007
- Pubs id:
-
pubs:710349
- UUID:
-
uuid:329526f0-6a5c-46dc-9417-4cd83d03c14e
- Local pid:
-
pubs:710349
- Source identifiers:
-
710349
- Deposit date:
-
2017-08-03
- ARK identifier:
Terms of use
- Copyright holder:
- American Physical Society
- Copyright date:
- 2017
- Notes:
- Copyright © 2017 American Physical Society. This is the accepted manuscript version of the article. The final version is available online from the American Physical Society at: https://doi.org/10.1103/PhysRevLett.119.050504
If you are the owner of this record, you can report an update to it here: Report update to this record