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Categorical Tensor Network States

Abstract:

We examine the use of the mathematics of category theory in the description
of quantum states by tensor networks. This approach enables the development of
a categorical framework allowing a solution to the quantum decomposition
problem. Specifically, given an n-body quantum state ψ, we present
a general method to factor ψ into a tensor network. Moreover, this
decomposition of ψ uses building blocks defined mathematically in
terms of purely diagrammatic laws. W...

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Publisher:
OUCL
Publication date:
2010-09-01
URN:
uuid:bfea9ff7-6c55-40c4-b819-fc0b3f717ce9
Local pid:
cs:3755

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