10027/22333
Lin Chen
Lin
Chen
Shmuel Friedland
Shmuel
Friedland
The tensor rank of tensor product of two three-qubit W states is eight
University of Illinois at Chicago
2018
tensor rank
qubit
W state
Kronecker product
tensor product
2018-06-19 00:00:00
Journal contribution
https://indigo.uic.edu/articles/journal_contribution/The_tensor_rank_of_tensor_product_of_two_three-qubit_W_states_is_eight/10772915
We show that the tensor rank of tensor product of two three-qubit W states is not less than eight. Combining this result with the recent result of M. Christandl, A. K. Jensen, and J. Zuiddam that the tensor rank of tensor product of two three-qubit W states is at most eight, we deduce that the tensor rank of tensor product of two three-qubit W states is eight. We also construct the upper bound of the tensor rank of tensor product of many three-qubit W states.