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Quantum Physics and Linguistics – A Compositional, Diagrammatic Discourse - Oxford Scholarship Online
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Quantum Physics and Linguistics: A Compositional, Diagrammatic Discourse

Chris Heunen, Mehrnoosh Sadrzadeh, and Edward Grefenstette


Quantum mechanics and linguistics appear to be quite unrelated at first sight. Yet significant parts of both concern compositional reasoning about the way information flows among subsystems and the manner in which this flow gives rise to the properties of a system as a whole. This book is about the mathematics underlying this notion of compositionality, how it gives rise to intuitive diagrammatic calculi, and how these compositional methods are applied to reason about phenomena of both disciplines.Over the past decade, theoretical physics and quantum information theory have turned to category ... More

Keywords: compositional methods, diagrammatic calculi, information flow, vector spaces, natural language syntax and semantics, quantum physics, category theory, frobenius and tensor algebras, quantum groups

Bibliographic Information

Print publication date: 2013 Print ISBN-13: 9780199646296
Published to Oxford Scholarship Online: May 2013 DOI:10.1093/acprof:oso/9780199646296.001.0001


Affiliations are at time of print publication.

Chris Heunen, editor
Postdoctoral researcher, University of Oxford

Mehrnoosh Sadrzadeh, editor
EPSRC Career Acceleration Research Fellow, University of Oxford

Edward Grefenstette, editor
Doctoral Student, University of Oxford Department of Computer Science

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Front Matter

CHAPTER 2 Some Graphical Aspects of Frobenius Algebras

BERTFRIED FAUSER (University of Birmingham)

CHAPTER 3 A Graphical Approach to Measurement-BasedQuantum Computing

ROSS DUNCAN (Université Libre de Bruxelles)

CHAPTER 4 Quantum Groups and Braided Algebra

SHAHN MAJID (Queen Mary, University of London)

chapter-5 Hopf Algebras—Variant Notions and Reconstruction Theorems

JOOST VERCRUYSSE (Université Libre Bruxelles)

CHAPTER 6 Modular Categories

Michael MÜger (Radboud University, Nijmegen)

CHAPTER 7 Scalars, Monads, and Categories

DION COUMANS AND BART JACOBS (Radboud University, Nijmegen)

CHAPTER 9 From Sentence to Concept

ANNE PRELLER (Laboratoire d’Informatique, Robotique et Microélectronique de Montpellier)

CHAPTER 10 Proof Nets for the Lambek–Grishin Calculus

MICHAEL MOORTGAT and Richard Moot (Utrecht University and LaBRI(CNRS), Université de Bordeaux)

CHAPTER 12 Distributional Semantic Models

STEPHEN PULMAN (University of Oxford)

End Matter