@article{
 title = {The Tensor Rank of the Tripartite State $\ketW^\otimes n$},
 type = {article},
 year = {2009},
 pages = {3-5},
 volume = {81},
 websites = {http://arxiv.org/abs/0910.0986,http://dx.doi.org/10.1103/PhysRevA.81.014301},
 month = {10},
 day = {6},
 id = {ec2f2d4a-a1e8-3d2c-af94-346e67729743},
 created = {2019-12-02T15:18:42.598Z},
 file_attached = {true},
 profile_id = {5ed10b2c-e6b8-3ad8-bec0-45bb1010ca06},
 last_modified = {2020-11-06T15:42:59.512Z},
 read = {false},
 starred = {false},
 authored = {true},
 confirmed = {true},
 hidden = {false},
 private_publication = {false},
 abstract = {Tensor rank refers to the number of product states needed to express a given multipartite quantum state. Its non-additivity as an entanglement measure has recently been observed. In this note, we estimate the tensor rank of multiple copies of the tripartite state $\ketW=\tfrac1\sqrt3(\ket100+\ket010+\ket001)$. Both an upper bound and a lower bound of this rank are derived. In particular, it is proven that the tensor rank of $\ketW^\otimes 2$ is seven, thus resolving a previously open problem. Some implications of this result are discussed in terms of transformation rates between $\ketW^\otimes n$ and multiple copies of the state $\ketGHZ=\tfrac1\sqrt2(\ket000+\ket111)$.},
 bibtype = {article},
 author = {Yu, Nengkun and Chitambar, Eric and Guo, Cheng and Duan, Runyao},
 doi = {10.1103/PhysRevA.81.014301},
 journal = {Physical Review A - Atomic, Molecular, and Optical Physics},
 number = {1}
}

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