POVMs and Naimark's theorem without sums

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dc.creatorCoecke, Bob
dc.creatorPaquette, Eric Oliver
dc.date2006-08-08
dc.date2007-01-29
dc.date.accessioned2026-07-07T07:43:22Z
dc.date.available2026-07-07T07:43:22Z
dc.descriptionWe 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 on an extended system, and this proof is moreover purely graphical. ii. Our definition coincides with the usual one for the particular case of the Hilbert space tensor product. We also point to a very useful normal form result for the classical object structure introduced in quant-ph/0608035.
dc.identifierhttps://arxiv.org/abs/quant-ph/0608072
dc.identifierhttp://arxiv.org/abs/quant-ph/0608072
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/122798
dc.subjectQuantum Physics
dc.subjectMathematical Physics
dc.subjectCategory Theory
dc.subjectQuantum Algebra
dc.titlePOVMs and Naimark's theorem without sums
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