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Temperley–lieb algebra: from knot theory to logic and computation via quantum mechanics

Abstract:

Abstract We study the Temperley-Lieb algebra, central to the Jones polynomial invariant of knots and ensuing developments, from a novel point of view. We relate the Temperley-Lieb category to the categorical formulation of quantum mechanics introduced by Abramsky and Coecke as the basis for the development of high-level methods for quantum information and computation. We develop some structural properties of the Temperley-Lieb category, giving a simple diagram...

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Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1201/9781584889007

Authors


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Institution:
University of Oxford
Division:
MPLS
Department:
Computer Science
Oxford college:
Wolfson College
Role:
Author
ORCID:
0000-0003-3921-6637
Publisher:
Taylor and Francis Publisher's website
Series:
Mathematics of Quantum Computing and Technology
Host title:
Mathematics of Quantum Computation and Quantum Technology
Publication date:
2007-09-19
DOI:
Source identifiers:
328039
ISBN:
9780429143410
Keywords:
Pubs id:
pubs:328039
UUID:
uuid:1d6daec2-72f3-4176-b61d-e5fd4f93bb11
Local pid:
pubs:328039
Deposit date:
2018-10-16

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