Quantum circuit design. a) express the operator 1-1) as a product of exp m), exp 'm), and e (m ) up to an overall phase. each of the above elementary operators may be use multiple times (a) up to an overall phase.) (note that exp (igr) b) construct an exact realization of the operator λ"(i) using the following set of gates: h (the hadamard gate) a(p) (the controlled not), and a (e-4 . for simplicity, you may assume that all the gates come with there inverses, ie, a(e 4) is also available.