Pictures of complete positivity in arbitrary dimension

Bob Coecke; Chris Heunen

doi:10.1016/j.ic.2016.02.007

Pictures of complete positivity in arbitrary dimension

Research output: Contribution to journal › Article › peer-review

Abstract

Two fundamental contributions to categorical quantum mechanics are presented. First, we generalize the CPM-construction, that turns any dagger compact category into one with completely positive maps, to arbitrary dimension. Second, we axiomatize when a given category is the result of this construction

Original language	English
Pages (from-to)	50-58
Number of pages	9
Journal	Information and Computation
Volume	250
Early online date	1 Jun 2016
DOIs	https://doi.org/10.1016/j.ic.2016.02.007
Publication status	Published - Oct 2016

Keywords

Infinite-dimensional Hilbert spaces

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10.1016/j.ic.2016.02.007

cp-1Accepted author manuscript, 287 KB

http://www.sciencedirect.com/science/article/pii/S0890540116000341

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1 Finished

Combining Viewpoints in Quantum Theory
Heunen, C.
EPSRC
2/10/15 → 1/01/19
Project: Research

Cite this

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title = "Pictures of complete positivity in arbitrary dimension",

abstract = "Two fundamental contributions to categorical quantum mechanics are presented. First, we generalize the CPM-construction, that turns any dagger compact category into one with completely positive maps, to arbitrary dimension. Second, we axiomatize when a given category is the result of this construction",

keywords = "Infinite-dimensional Hilbert spaces",

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DO - 10.1016/j.ic.2016.02.007

M3 - Article

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SP - 50

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JO - Information and Computation

JF - Information and Computation

SN - 0890-5401

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Pictures of complete positivity in arbitrary dimension

Abstract

Keywords

Access to Document

Combining Viewpoints in Quantum Theory

Cite this