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.

Which of the following correctly describes what happens when an atomic bomb explodes? small pieces of fissionable material are joined and form a body with a mass greater than the critical mass, the relative number of neutrons escaping decreases, and a chain reaction and explosion result. large pieces of fissionable matter are brought together quickly and form a body with a mass smaller than the critical mass, the relative number of escaping neutrons increases, and a chain reaction and explosion result.