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Categorical Tensor Network States

Abstract:

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 approach enabled the development of a tensor network framework allowing a solution to the quantum decomposition problem which has several appealing features. Specifically, given an n-body quantum st...

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Publication status:
Published

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Publisher copy:
10.1063/1.3672009

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Journal:
AIP Advances 1(4), 042172 (2011)
Volume:
1
Issue:
4
Pages:
042172-042172
Publication date:
2010-12-02
DOI:
EISSN:
2158-3226
ISSN:
2158-3226
URN:
uuid:e62038f7-b5f5-43f5-988d-ca71fbc49c0e
Source identifiers:
245980
Local pid:
pubs:245980
Language:
English
Keywords:

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