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: Chapter in Book/Report/Conference proceeding › Conference contribution

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 (QPL 2016)
Editors	Ross Duncan, Chris Heunen
Publisher	Open Publishing Association
Pages	161-173
Number of pages	13
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 http://qpl2016.cis.strath.ac.uk/

Publication series

Name	Electronic Proceedings in Theoretical Computer Science
Publisher	Open Publishing Association
Volume	236
ISSN (Electronic)	2075-2180

Conference

Conference	13th International Conference on Quantum Physics and Logic
Abbreviated title	QPL 2016
Country/Territory	United Kingdom
City	Glasgow
Period	6/06/16 → 10/06/16
Internet address	http://qpl2016.cis.strath.ac.uk/

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Infinite-Dimensionality_RENNELA_DOA24042016_VOR_CC-BYFinal published version, 177 KBLicence: Creative Commons: Attribution (CC-BY)

http://eptcs.web.cse.unsw.edu.au/content.cgi?QPL2016Licence: Creative Commons: Attribution (CC-BY)

Cite this

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 (QPL 2016) (pp. 161-173). (Electronic Proceedings in Theoretical Computer Science; Vol. 236). Open Publishing Association. https://doi.org/10.4204/EPTCS.236.11

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 (QPL 2016). editor / Ross Duncan ; Chris Heunen. Open Publishing Association, 2017. pp. 161-173 (Electronic Proceedings in Theoretical Computer Science).

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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.",

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

year = "2017",

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doi = "10.4204/EPTCS.236.11",

language = "English",

series = "Electronic Proceedings in Theoretical Computer Science",

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editor = "Ross Duncan and Chris Heunen",

booktitle = "Proceedings 13th International Conference on Quantum Physics and Logic (QPL 2016)",

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note = "13th International Conference on Quantum Physics and Logic, QPL 2016 ; 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 (QPL 2016). Electronic Proceedings in Theoretical Computer Science, vol. 236, Open Publishing Association, pp. 161-173, 13th International Conference on Quantum Physics and Logic, Glasgow, United Kingdom, 6/06/16. 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 (QPL 2016). ed. / Ross Duncan; Chris Heunen. Open Publishing Association, 2017. p. 161-173 (Electronic Proceedings in Theoretical Computer Science; Vol. 236).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

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AU - Furber, Robert

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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 (QPL 2016). Open Publishing Association. 2017. p. 161-173. (Electronic Proceedings in Theoretical Computer Science). Epub 2016 Jun 6. doi: 10.4204/EPTCS.236.11

Infinite-Dimensionality in Quantum Foundations: W*-algebras as Presheaves over Matrix Algebras

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