No. The property which you are describing is not “mixedness” (technical term: “purity”). That the state vector in question can’t be written as a tensor product of state vectors makes it an *entangled* state.
Mixed states are states which cannot be represented by *any* state vector. You need a density matrix in order to write them down.
Do you by any chance have a typo here? Sorry if I am wrong, since I don’t actually know quantum information theory.
I think this state is mixed, since it’s a sum of two vectors, which can’t be represented as just one kronecker product.
No. The property which you are describing is not “mixedness” (technical term: “purity”). That the state vector in question can’t be written as a tensor product of state vectors makes it an *entangled* state.
Mixed states are states which cannot be represented by *any* state vector. You need a density matrix in order to write them down.