Tensor Products for Composite Systems

Define the tensor product of two vector spaces and compute the dimension of the resulting space.

Construct the tensor product of two vectors (Kronecker product for column vectors).

Construct the matrix representation of a tensor product of two linear operators.

Define and distinguish between separable and entangled states in a tensor product space.

Apply tensor products to represent the states of a multi-qubit system.

Apply tensor products to represent operators on a multi-qubit system, such as the CNOT gate.