Categorical Tensor Network States

We examine the use of string diagrams and the mathematics of category theory in the description of quantum states by tensor networks. This approach lead to a unification of several ideas, as well as several results and methods that have not previously appeared in either side of the literature. Our a...

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Bibliographic Details
Main Authors: Jacob D. Biamonte, Stephen R. Clark, Dieter Jaksch
Format: Article
Language:English
Published: AIP Publishing LLC 2011-12-01
Series:AIP Advances
Online Access:http://dx.doi.org/10.1063/1.3672009