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

Research output: Contribution to book/anthology/report/conference proceeding › Article in proceeding › Research › peer-review

2 Citations (Scopus)

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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.

Original language	English
Title of host publication	Proceedings 13th International Conference on Quantum Physics and Logic
Editors	Ross Duncan, Chris Heunen
Number of pages	13
Publisher	Open Publishing Association
Publication date	1 Jan 2017
Pages	161-173
DOIs	https://doi.org/10.4204/EPTCS.236.11
Publication status	Published - 1 Jan 2017
Event	13th International Conference on Quantum Physics and Logic - Glasgow, United Kingdom Duration: 6 Jun 2016 → 10 Jun 2016 Conference number: 13

Conference

Conference	13th International Conference on Quantum Physics and Logic
Number	13
Country/Territory	United Kingdom
City	Glasgow
Period	06/06/2016 → 10/06/2016

Series	Electronic Proceedings in Theoretical Computer Science, EPTCS
Volume	236
ISSN	2075-2180

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10.4204/EPTCS.236.11Licence: CC BY 4.0

Open Access articleFinal published version, 177 KBLicence: CC BY 4.0

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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 . editor / Ross Duncan ; Chris Heunen. Open Publishing Association, 2017. pp. 161-173 (Electronic Proceedings in Theoretical Computer Science, EPTCS, Vol. 236).

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

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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. in R Duncan & C Heunen (eds), Proceedings 13th International Conference on Quantum Physics and Logic . Open Publishing Association, Electronic Proceedings in Theoretical Computer Science, EPTCS, vol. 236, pp. 161-173, 13th International Conference on Quantum Physics and Logic, Glasgow, United Kingdom, 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 . ed. / Ross Duncan; Chris Heunen. Open Publishing Association, 2017. p. 161-173 (Electronic Proceedings in Theoretical Computer Science, EPTCS, Vol. 236).

Research output: Contribution to book/anthology/report/conference proceeding › Article in proceeding › Research › peer-review

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

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

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