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A categorical quantum logic

Published online by Cambridge University Press:  04 July 2006

SAMSON ABRAMSKY  and
ROSS DUNCAN
SAMSON ABRAMSKY
Affiliation:
Oxford University Computing Laboratory, Wolfson Building, Parks Road, Oxford, OX1 3QD, U.K.
ROSS DUNCAN
Affiliation:
Oxford University Computing Laboratory, Wolfson Building, Parks Road, Oxford, OX1 3QD, U.K.
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Abstract

We define a strongly normalising proof-net calculus corresponding to the logic of strongly compact closed categories with biproducts. The calculus is a full and faithful representation of the free strongly compact closed category with biproducts on a given category with an involution. This syntax can be used to represent and reason about quantum processes.

Type
Paper
Information
Mathematical Structures in Computer Science , Volume 16 , Issue 3 , June 2006 , pp. 469 - 489
Copyright
2006 Cambridge University Press

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