2) (6pts) NOT gate. Again, consider a qubit with orthonormal basis vectors {10) , (1) }. The NOT operation is a unitary matrix which takes 10) - 1) and |1) - 10) . a) Find the unitary matrix which implements the NOT operation with respect to these com- putational basis vectors. b) (Bonus 2pts) Compute the matrix representation of the NOT operation in the Hadamard basis. c) Find the square root of the NOT matrix, i.e. find the unitary matrix V such that V2 = UNOT