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A 2-categorical approach to composing quantum structures

Abstract:

We present an infinite number of construction schemes for quantum structures, including unitary error bases, Hadamard matrices, quantum Latin squares and controlled families, many of which have not previously been described. Our results rely on the type structure of biunitary connections, 2-categorical structures which play a central role in the theory of planar algebras. They have an attractive graphical calculus which allows simple correctness proofs for the constructions we present. We app...

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Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.4230/LIPIcs.CALCO.2017.20

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Institution:
University of Oxford
Division:
MPLS
Department:
Computer Science
Role:
Author
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Institution:
University of Oxford
Oxford college:
Wadham College
Role:
Author
Publisher:
Schloss Dagstuhl Publisher's website
Journal:
CALCO 2017: 7th Conference on Algebra and Coalgebra in Computer Science Journal website
Volume:
72
Pages:
20
Host title:
CALCO 2017: 7th Conference on Algebra and Coalgebra in Computer Science
Publication date:
2017-11-02
Acceptance date:
2017-05-15
DOI:
ISSN:
1868-8969
Source identifiers:
696733
ISBN:
9783959770330
Keywords:
Pubs id:
pubs:696733
UUID:
uuid:40c2e236-4573-4916-97ca-97c17f4f79ae
Local pid:
pubs:696733
Deposit date:
2017-05-23

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