Show that if $A$ and $B$ are unitary matrices, then $C = A \otimes B$ is unitary.
[Math] Prove that the tensor product of unitary matrices is also unitary
quantum-computationtensor-productsunitary-matrices
quantum-computationtensor-productsunitary-matrices
Show that if $A$ and $B$ are unitary matrices, then $C = A \otimes B$ is unitary.
Best Answer
Hint: $(A\otimes B)^{\dagger} = A^\dagger \otimes B^\dagger$, where $A^\dagger$ denotes the conjugate transpose of $A$.