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Tensor networks has been introduced in quantum information<br />
theory.<br />
Example<br />
1. TT (tensor trains, Oseledets & Tyrtyshnikov ) and HT<br />
(Hackbusch & Kühn) formats are tensor networks.<br />
2. the canonical format is not (directly) a tensor network.<br />
x 1<br />
k 1<br />
tensor networks<br />
ki<br />
x 1<br />
closed tensor<br />
network<br />
tensor networks<br />
u 2 [x k i k j ]<br />
2