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POVMs and Naimark's theorem without sums

Abstract:

We provide a definition of POVM in terms of abstract tensor structure only. It is justified in two distinct manners. i. At this abstract level we are still able to prove Naimark's theorem, hence establishing a bijective correspondence between abstract POVMs and abstract projective measurements (cf. [B. Coecke and D. Pavlovic (2007) Quantum measurements without sums. In: Mathematics of Quantum Computing and Technology. Chapman & Hall, pp. 559–596. E-print...

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Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1016/j.entcs.2008.04.015

Authors


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Institution:
University of Oxford
Division:
MPLS
Department:
Computer Science
Role:
Author
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Institution:
Université de Montréal
Role:
Author
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Name:
Engineering and Physical Sciences Research Council
Funding agency for:
Coecke, B
Grant:
EP/D072786/1
EP/C500032/1
Publisher:
Elsevier
Journal:
Electronic Notes in Theoretical Computer Science More from this journal
Volume:
210
Pages:
15-31
Publication date:
2008-11-01
DOI:
ISSN:
1571-0661
Language:
English
Subjects:
UUID:
uuid:0c204112-b5af-476c-8462-453d9df8a8dc
Local pid:
ora:10401
Deposit date:
2015-03-04

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