Zobrazeno 1 - 10
of 30
pro vyhledávání: '"James Fullwood"'
Autor:
Arthur J. Parzygnat, James Fullwood
Publikováno v:
PRX Quantum, Vol 4, Iss 2, p 020334 (2023)
Bayes’ rule, P(B|A)P(A)=P(A|B)P(B), is one of the simplest yet most profound, ubiquitous, and far-reaching results of classical probability theory, with applications in any field utilizing statistical inference. Many attempts have been made to exte
Externí odkaz:
https://doaj.org/article/de5c9d376d7549e0989f2ba5cbe3e8af
Autor:
James Fullwood
Publikováno v:
Entropy, Vol 25, Iss 4, p 663 (2023)
We characterize mutual information as the unique map on ordered pairs of discrete random variables satisfying a set of axioms similar to those of Faddeev’s characterization of the Shannon entropy. There is a new axiom in our characterization, howev
Externí odkaz:
https://doaj.org/article/3db3270321914445bf1769f71e5a18e8
Autor:
James Fullwood, Dongxu Wang
Publikováno v:
Nuclear Physics B, Vol 938, Iss , Pp 212-222 (2019)
We introduce a class of F-theory vacua which may be viewed as a specialization of the so-called E6 fibration, and construct a weak coupling limit associated with such vacua which we view as the ‘square’ of the Sen limit. We find that while Sen's
Externí odkaz:
https://doaj.org/article/a6d1433784e6426b91f1197ce585e1ba
Autor:
James Fullwood, Dongxu Wang
Publikováno v:
Nuclear Physics B, Vol 960, Iss , Pp 115178- (2020)
We construct global orientifold limits of singular F-theory vacua whose associated gauge groups are SO(3), SO(5), SO(6), F4, SU(4), and Spin(7). For each limit we show a universal tadpole relation is satisfied, which is a homological identity whose d
Externí odkaz:
https://doaj.org/article/c270754e6fa04e94abefa16046e53e40
Autor:
James Fullwood
Publikováno v:
Entropy, Vol 24, Iss 1, p 74 (2021)
We construct a 2-categorical extension of the relative entropy functor of Baez and Fritz, and show that our construction is functorial with respect to vertical morphisms. Moreover, we show such a ‘2-relative entropy’ satisfies natural 2-categoria
Externí odkaz:
https://doaj.org/article/3750647cb242444db8e79c9d0b1a593a
Autor:
James Fullwood, Arthur J. Parzygnat
Publikováno v:
Entropy, Vol 23, Iss 8, p 1021 (2021)
We provide a stochastic extension of the Baez–Fritz–Leinster characterization of the Shannon information loss associated with a measure-preserving function. This recovers the conditional entropy and a closely related information-theoretic measure
Externí odkaz:
https://doaj.org/article/6400cf9228c54b21818a432634660729
Autor:
James Fullwood
Publikováno v:
European Journal of Mathematics. 8:274-289
Groupoids graded by the groupoid of bijections between finite sets admit generating functions which encode the groupoid cardinalities of their graded components. As suggested in the work of Baez and Dolan, we use analytic continuation of such generat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::29dcebcfd8b00951e2568b5c2b8f8a49
https://doi.org/10.1007/s40879-022-00554-4
https://doi.org/10.1007/s40879-022-00554-4
Autor:
James Fullwood, Arthur J. Parzygnat
In 2017, D. Horsman, C. Heunen, M. Pusey, J. Barrett, and R. Spekkens proved that there is no physically reasonable assignment that takes a quantum channel and an initial state and produces a joint state on the tensor product of the input and output
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5a9cd0b7376409305268b41c793ca10b
http://arxiv.org/abs/2202.03607
http://arxiv.org/abs/2202.03607
Autor:
James Fullwood
Publikováno v:
Entropy; Volume 25; Issue 4; Pages: 663
We characterize mutual information as the unique map on ordered pairs of random variables satisfying a set of axioms similar to those of Faddeev's characterization of the Shannon entropy. There is a new axiom in our characterization however which has
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4d8e4f51d66b24e18b26da6ea25bb729
http://arxiv.org/abs/2108.12647
http://arxiv.org/abs/2108.12647
Autor:
Dongxu Wang, James Fullwood
Publikováno v:
Nuclear Physics B, Vol 960, Iss, Pp 115178-(2020)
Nuclear Physics
Nuclear Physics
We construct global orientifold limits of singular $F$-theory vacua whose associated gauge groups are SO(3), SO(5), SO(6), $F_4$, SU(4), and Spin(7). For each limit we show a universal tadpole relation is satisfied, which is a homological identity wh
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4a6af7603ad8f389da91c76a3d1a7b53
http://www.sciencedirect.com/science/article/pii/S0550321320302649
http://www.sciencedirect.com/science/article/pii/S0550321320302649