Tensor rank is not multiplicative under the tensor product
Jensen, Asger Kjærulff
Computer Science - Computational Complexity | Mathematics - Commutative Algebra | 15A69 | Quantum Physics
The tensor rank of a tensor t is the smallest number r such that t can be decomposed as a sum of r simple tensors. Let s be a k-tensor and let t be an l-tensor. The tensor product of s and t is a (k + l)-tensor. Tensor rank is sub-multiplicative under the tensor product...