Treffer: Abstract scalars, loops, and free traced and strongly compact closed categories

Title:
Abstract scalars, loops, and free traced and strongly compact closed categories
Authors:
ABRAMSKY, Samson
Source:
Algebra and coalgebra in computer science (Swansea, 3-6 September 2005)Lecture notes in computer science. :1-29
Publisher Information:
Berlin: Springer, 2005.
Publication Year:
2005
Physical Description:
print, 25 ref
Original Material:
INIST-CNRS
Subject Terms:
Computer science, Informatique, Sciences exactes et technologie, Exact sciences and technology, Sciences appliquees, Applied sciences, Informatique; automatique theorique; systemes, Computer science; control theory; systems, Informatique théorique, Theoretical computing, Théorie programmation, Programming theory, Algèbre processus, Process algebra, Algebra proceso, Axiomatique, Axiomatic, Axiomático, Coalgèbre, Coalgebra, Fermeture, Closure, Cerradura, Monoïde, Monoid, Monoide, Mécanique quantique, Quantum mechanics, Mecánica cuántica, Méthode raffinement, Refinement method, Método afinamiento, Théorie catégorie, Category theory, Teoría categoría
Document Type:
Konferenz Conference Paper
File Description:
text
Language:
English
Author Affiliations:
Oxford University Computing Laboratory, Wolfson Building, Parks Road, Oxford OX1 3QD, United Kingdom
ISSN:
0302-9743
Access URL:
http://pascal-francis.inist.fr/vibad/index.php?action=search&terms=17115895
Rights:
Copyright 2005 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Computer science; theoretical automation; systems
Accession Number:
edscal.17115895
Database:
PASCAL Archive

Weitere Informationen

We study structures which have arisen in recent work by the present author and Bob Coecke on a categorical axiomatics for Quantum Mechanics; in particular, the notion of strongly compact closed category. We explain how these structures support a notion of scalar which allows quantitative aspects of physical theory to be expressed, and how the notion of strong compact closure emerges as a significant refinement of the more classical notion of compact closed category. We then proceed to an extended discussion of free constructions for a sequence of progressively more complex kinds of structured category, culminating in the strongly compact closed case. The simple geometric and combinatorial ideas underlying these constructions are emphasized. We also discuss variations where a prescribed monoid of scalars can be 'glued in' to the free construction.