Infinite-dimensionality in quantum foundations: W∗-algebras as presheaves over matrix algebras

Mathys Rennela; Sam Staton; Robert Furber

doi:10.4204/EPTCS.236.11

Infinite-dimensionality in quantum foundations: W∗-algebras as presheaves over matrix algebras

Mathys Rennela, Sam Staton, Robert Furber

Publikation: Bidrag til bog/antologi/rapport/konference proceeding › Konferenceartikel i proceeding › Forskning › peer review

2 Citationer (Scopus)

267 Downloads (Pure)

Abstract

In this paper, W∗-algebras are presented as canonical colimits of diagrams of matrix algebras and completely positive maps. In other words, matrix algebras are dense in W∗-algebras.

Originalsprog	Engelsk
Titel	Proceedings 13th International Conference on Quantum Physics and Logic
Redaktører	Ross Duncan, Chris Heunen
Antal sider	13
Forlag	Open Publishing Association
Publikationsdato	1 jan. 2017
Sider	161-173
DOI	https://doi.org/10.4204/EPTCS.236.11
Status	Udgivet - 1 jan. 2017
Begivenhed	13th International Conference on Quantum Physics and Logic - Glasgow, Storbritannien Varighed: 6 jun. 2016 → 10 jun. 2016 Konferencens nummer: 13

Konference

Konference	13th International Conference on Quantum Physics and Logic
Nummer	13
Land/Område	Storbritannien
By	Glasgow
Periode	06/06/2016 → 10/06/2016

Navn	Electronic Proceedings in Theoretical Computer Science, EPTCS
Vol/bind	236
ISSN	2075-2180

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10.4204/EPTCS.236.11Licens: CC BY 4.0

Open Access articleForlagets udgivne version, 177 KBLicens: CC BY 4.0

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Citationsformater

Rennela, Mathys ; Staton, Sam ; Furber, Robert. / Infinite-dimensionality in quantum foundations : W∗-algebras as presheaves over matrix algebras. Proceedings 13th International Conference on Quantum Physics and Logic . red. / Ross Duncan ; Chris Heunen. Open Publishing Association, 2017. s. 161-173 (Electronic Proceedings in Theoretical Computer Science, EPTCS, Bind 236).

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title = "Infinite-dimensionality in quantum foundations: W∗-algebras as presheaves over matrix algebras",

abstract = "In this paper, W∗-algebras are presented as canonical colimits of diagrams of matrix algebras and completely positive maps. In other words, matrix algebras are dense in W∗-algebras.",

author = "Mathys Rennela and Sam Staton and Robert Furber",

year = "2017",

month = jan,

day = "1",

doi = "10.4204/EPTCS.236.11",

language = "English",

series = "Electronic Proceedings in Theoretical Computer Science, EPTCS",

publisher = "Open Publishing Association",

pages = "161--173",

editor = "Ross Duncan and Chris Heunen",

booktitle = "Proceedings 13th International Conference on Quantum Physics and Logic",

note = "13th International Conference on Quantum Physics and Logic, QPL ; Conference date: 06-06-2016 Through 10-06-2016",

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Rennela, M, Staton, S & Furber, R 2017, Infinite-dimensionality in quantum foundations: W∗-algebras as presheaves over matrix algebras. i R Duncan & C Heunen (red), Proceedings 13th International Conference on Quantum Physics and Logic . Open Publishing Association, Electronic Proceedings in Theoretical Computer Science, EPTCS, bind 236, s. 161-173, 13th International Conference on Quantum Physics and Logic, Glasgow, Storbritannien, 06/06/2016. https://doi.org/10.4204/EPTCS.236.11

Infinite-dimensionality in quantum foundations: W∗-algebras as presheaves over matrix algebras. / Rennela, Mathys; Staton, Sam; Furber, Robert.
Proceedings 13th International Conference on Quantum Physics and Logic . red. / Ross Duncan; Chris Heunen. Open Publishing Association, 2017. s. 161-173 (Electronic Proceedings in Theoretical Computer Science, EPTCS, Bind 236).

Publikation: Bidrag til bog/antologi/rapport/konference proceeding › Konferenceartikel i proceeding › Forskning › peer review

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AB - In this paper, W∗-algebras are presented as canonical colimits of diagrams of matrix algebras and completely positive maps. In other words, matrix algebras are dense in W∗-algebras.

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Rennela M, Staton S, Furber R. Infinite-dimensionality in quantum foundations: W∗-algebras as presheaves over matrix algebras. I Duncan R, Heunen C, red., Proceedings 13th International Conference on Quantum Physics and Logic . Open Publishing Association. 2017. s. 161-173. (Electronic Proceedings in Theoretical Computer Science, EPTCS, Bind 236). doi: 10.4204/EPTCS.236.11

Infinite-dimensionality in quantum foundations: W∗-algebras as presheaves over matrix algebras

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