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Frobenius Structures

Chris Heunen and Jamie Vicary

in Categories for Quantum Theory: An Introduction

Published in print:
2019
Published Online:
January 2020
ISBN:
9780198739623
eISBN:
9780191802584
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198739623.003.0005
Subject:
Mathematics, Mathematical Physics, Applied Mathematics

A Frobenius structure is a monoid together with a comonoid, which satisfies an interaction law. Frobenius structures have a powerful graphical calculus and we prove a normal form theorem that makes ... More


Types and Forgetfulness in Categorical Linguistics and Quantum Mechanics

Peter Hines

in Quantum Physics and Linguistics: A Compositional, Diagrammatic Discourse

Published in print:
2013
Published Online:
May 2013
ISBN:
9780199646296
eISBN:
9780191747847
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199646296.003.0008
Subject:
Mathematics, Applied Mathematics

In this chapter, the role of types in categorical models of meaning is investigated. A general scheme for how typed models of meaning may be used to compare sentences, regardless of their grammatical ... More


Categories for Quantum Theory: An Introduction

Chris Heunen and Jamie Vicary

Published in print:
2019
Published Online:
January 2020
ISBN:
9780198739623
eISBN:
9780191802584
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198739623.001.0001
Subject:
Mathematics, Mathematical Physics, Applied Mathematics

Monoidal category theory serves as a powerful framework for describing logical aspects of quantum theory, giving an abstract language for parallel and sequential composition and a conceptual way to ... More


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