A new bound on the rank of tensor product of W-states

S. Canino, A. Casarotti, P. Santarsiero

A W-state is an order d symmetric tensor of the form W_d=x^{d-1}y. We prove that the partially symmetric rank of W_{d_1}\otimes \cdots \otimes W_{d_k} is at most 2^{k-1}(d_1+\cdots…