Zobrazeno 1 - 7
of 7
pro vyhledávání: '"Abraham Westerbaan"'
Publikováno v:
Electronic Proceedings in Theoretical Computer Science, Vol 287, Iss Proc. QPL 2018, Pp 345-364 (2019)
We propose a definition of purity for positive linear maps between Euclidean Jordan Algebras (EJA) that generalizes the notion of purity for quantum systems. We show that this definition of purity is closed under composition and taking adjoints and t
Externí odkaz:
https://doaj.org/article/9e0e1fc44cd4444b99d1ace9de1ace63
Autor:
Bart Jacobs, Abraham Westerbaan
Publikováno v:
Logical Methods in Computer Science, Vol Volume 16, Issue 1 (2020)
This paper gives a systematic account of various metrics on probability distributions (states) and on predicates. These metrics are described in a uniform manner using the validity relation between states and predicates. The standard adjunction betwe
Externí odkaz:
https://doaj.org/article/7c3bba782a6541ecb48a1587be8ebc6b
Autor:
Abraham Westerbaan, Bas Westerbaan
Publikováno v:
Electronic Proceedings in Theoretical Computer Science, Vol 236, Iss Proc. QPL 2016, Pp 229-244 (2017)
In 1973 Paschke defined a factorization for completely positive maps between C*-algebras. In this paper we show that for normal maps between von Neumann algebras, this factorization has a universal property, and coincides with Stinespring's dilation
Externí odkaz:
https://doaj.org/article/1b525e84ba4b4dbdac383b544e1058f0
Autor:
Abraham Westerbaan
Publikováno v:
Electronic Proceedings in Theoretical Computer Science, Vol 236, Iss Proc. QPL 2016, Pp 215-228 (2017)
Furber and Jacobs have shown in their study of quantum computation that the category of commutative C*-algebras and PU-maps (positive linear maps which preserve the unit) is isomorphic to the Kleisli category of a comonad on the category of commutati
Externí odkaz:
https://doaj.org/article/08b5c8f3cc884e70adfb1da887e9bb00
Publikováno v:
Quantum, Vol 4, p 378 (2020)
A sequential effect algebra (SEA) is an effect algebra equipped with a $\textit{sequential product}$ operation modeled after the Lüders product $(a,b)\mapsto \sqrt{a}b\sqrt{a}$ on C$^*$-algebras. A SEA is called $\textit{normal}$ when it has all sup
Externí odkaz:
https://doaj.org/article/132ce25e0b1941eca8cb59d8561541df
Publikováno v:
Electronic Proceedings in Theoretical Computer Science, Vol 287, Iss Proc. QPL 2018, Pp 345-364 (2019)
Electronic Proceedings in Theoretical Computer Science, 287, pp. 345-364
Electronic Proceedings in Theoretical Computer Science, 345-364
STARTPAGE=345;ENDPAGE=364;ISSN=2075-2180;TITLE=Electronic Proceedings in Theoretical Computer Science
Electronic Proceedings in Theoretical Computer Science, 287, pp. 345-364
Electronic Proceedings in Theoretical Computer Science, 345-364
STARTPAGE=345;ENDPAGE=364;ISSN=2075-2180;TITLE=Electronic Proceedings in Theoretical Computer Science
We propose a definition of purity for positive linear maps between Euclidean Jordan Algebras (EJA) that generalizes the notion of purity for quantum systems. We show that this definition of purity is closed under composition and taking adjoints and t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e6aca6fdde86e88e9935796f19fa6357
http://arxiv.org/abs/1805.11496
http://arxiv.org/abs/1805.11496
Autor:
Bas Westerbaan, Abraham Westerbaan
Publikováno v:
Journal of Mathematical Physics, 57, 1-17
Journal of Mathematical Physics, 57, 9, pp. 1-17
Journal of Mathematical Physics, 57, 9, pp. 1-17
We study the sequential product, the operation $p * q = \sqrt{p} q \sqrt{p}$ on the set of effects of a von Neumann algebra that represents sequential measurement of first $p$ and then $q$. We give four axioms which completely determine the sequentia
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::65061725ea37fe0e30a46552ff99dd54
http://hdl.handle.net/2066/161452
http://hdl.handle.net/2066/161452