In mathematics, the tensor product V\otimes W of two vector spaces V and W is a vector space that can be thought of as the space of all tensors that can be built from vectors from its constituent spaces using an additional operation that can be considered as a generalization and abstraction of the outer product.
What does tensor product do?
Tensor Products are used to describe systems consisting of multiple subsystems. Each subsystem is described by a vector in a vector space (Hilbert space). For example, let us have two systems I and II with their corresponding Hilbert spaces HI and HII.
What exactly is a tensor?
In simple terms, a tensor is a dimensional data structure. Vectors are one-dimensional data structures and matrices are two-dimensional data structures. ... For instance, we can represent second-rank tensors as matrices. This stress on "can be" is important because tensors have properties that not all matrices will have.
