Zobrazeno 1 - 10
of 14
pro vyhledávání: '"Sean Tull"'
Publikováno v:
Frontiers in Applied Mathematics and Statistics, Vol 9 (2023)
Externí odkaz:
https://doaj.org/article/5c4de54277564034b4ca73cdc49a12f3
Autor:
Johannes Kleiner, Sean Tull
Publikováno v:
Frontiers in Applied Mathematics and Statistics, Vol 6 (2021)
Integrated Information Theory is one of the leading models of consciousness. It aims to describe both the quality and quantity of the conscious experience of a physical system, such as the brain, in a particular state. In this contribution, we propou
Externí odkaz:
https://doaj.org/article/7006cf46df854033a071d9a70aa699d6
Autor:
Sean Tull
Publikováno v:
Logical Methods in Computer Science, Vol Volume 16, Issue 1 (2020)
We reconstruct finite-dimensional quantum theory from categorical principles. That is, we provide properties ensuring that a given physical theory described by a dagger compact category in which one may `discard' objects is equivalent to a generalise
Externí odkaz:
https://doaj.org/article/5bd4ad16b9494af996ab439d58250853
Publikováno v:
Electronic Proceedings in Theoretical Computer Science, Vol 266, Iss Proc. QPL 2017, Pp 104-118 (2018)
Mixing and decoherence are both manifestations of classicality within quantum theory, each of which admit a very general category-theoretic construction. We show under which conditions these two 'roads to classicality' coincide. This is indeed the ca
Externí odkaz:
https://doaj.org/article/1f3fab5da2154beb82ffa8859d521013
Publikováno v:
Electronic Proceedings in Theoretical Computer Science, Vol 266, Iss Proc. QPL 2017, Pp 399-410 (2018)
The category of Hilbert modules may be interpreted as a naive quantum field theory over a base space. Open subsets of the base space are recovered as idempotent subunits, which form a meet-semilattice in any firm braided monoidal category. There is a
Externí odkaz:
https://doaj.org/article/78c05206fad349739feb11410a3507e5
Autor:
Chris Heunen, Sean Tull
Publikováno v:
Electronic Proceedings in Theoretical Computer Science, Vol 195, Iss Proc. QPL 2015, Pp 247-261 (2015)
Categories of relations over a regular category form a family of models of quantum theory. Using regular logic, many properties of relations over sets lift to these models, including the correspondence between Frobenius structures and internal groupo
Externí odkaz:
https://doaj.org/article/ac3ba5190fab4ab4afcf2581eb159b39
Autor:
Sean Tull
Publikováno v:
Electronic Proceedings in Theoretical Computer Science. 318:181-195
Dagger compact structure is a common assumption in the study of physical process theories, but lacks a clear interpretation. Here we derive dagger compactness from more operational axioms on a category. We first characterise the structure in terms of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::afcd92fe14ca7b573d3df28fa51230e2
https://doi.org/10.4204/eptcs.318.11
https://doi.org/10.4204/eptcs.318.11
Autor:
Sean Tull
We define a symmetric monoidal category modelling fuzzy concepts and fuzzy conceptual reasoning within G\"ardenfors' framework of conceptual (convex) spaces. We propose log-concave functions as models of fuzzy concepts, showing that these are the mos
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1468ebf52cbc019f02b234fef5bdfc4a
http://arxiv.org/abs/2110.05985
http://arxiv.org/abs/2110.05985
Autor:
Sean Tull, Johannes Kleiner
Publikováno v:
Frontiers in Applied Mathematics and Statistics, Vol 6 (2021)
Integrated Information Theory is one of the leading models of consciousness. It aims to describe both the quality and quantity of the conscious experience of a physical system, such as the brain, in a particular state. In this contribution, we propou
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dfde9c3737bccbc0517f4dcb55597809
https://doi.org/10.3389/fams.2020.602973
https://doi.org/10.3389/fams.2020.602973
Publikováno v:
Heunen, C, Tull, S & Enrique Moliner, P 2020, ' Tensor topology ', Journal of pure and applied algebra, vol. 224, no. 10, 106378 . https://doi.org/10.1016/j.jpaa.2020.106378
A subunit in a monoidal category is a subobject of the monoidal unit for which a canonical morphism is invertible. They correspond to open subsets of a base topological space in categories such as those of sheaves or Hilbert modules. We show that und
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b2d55c15be51594dba96db7f37a3d5b1
https://hdl.handle.net/20.500.11820/a3d1a36d-63de-44f2-8696-21fd04c6edea
https://hdl.handle.net/20.500.11820/a3d1a36d-63de-44f2-8696-21fd04c6edea