Abramsky, Samson;
Barbosa, Rui Soares;
Karvonen, Martti;
Mansfield, Shane;
(2019)
A comonadic view of simulation and quantum resources.
In:
2019 34th Annual ACM/IEEE Symposium on Logic in Computer Science (LICS).
IEEE: Vancouver, BC, Canada.
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Abstract
We study simulation and quantum resources in the setting of the sheaf-theoretic approach to contextuality and nonlocality. Resources are viewed behaviourally, as empirical models. In earlier work, a notion of morphism for these empirical models was proposed and studied. We generalize and simplify the earlier approach, by starting with a very simple notion of morphism, and then extending it to a more useful one by passing to a co-Kleisli category with respect to a comonad of measurement protocols. We show that these morphisms capture notions of simulation between empirical models obtained via 'free' operations in a resource theory of contextuality, including the type of classical control used in measurement-based quantum computation schemes.
| Type: | Proceedings paper |
|---|---|
| Title: | A comonadic view of simulation and quantum resources |
| Event: | 34th Annual ACM/IEEE Symposium on Logic in Computer Science (LICS) |
| Location: | CANADA, Vancouver |
| Dates: | 24 Jun 2019 - 27 Jun 2019 |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1109/lics.2019.8785677 |
| Publisher version: | https://doi.org/10.1109/LICS.2019.8785677 |
| Language: | English |
| Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. |
| Keywords: | Atmospheric measurements, Particle measurements, Computational modeling, Quantum computing, Context modeling, Protocols, Quantum mechanics |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Computer Science |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10193409 |
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