  The behavior of simply pulsed qubits (quantum systems with two linearly
independent states) may be characterized by the energy difference $\Delta E$
between the two states of the qubit and by an external stimulating potential
$V(t)$ that causes transitions between them. Thus, the operation of such
quantum mechanical systems may be categorized in various regions that
explicitly depend on $\Delta E$ and $V(t)$. Limiting cases of degenerate,
perturbative, and adiabatic regions are discussed. A comprehensive and
illustrative map for simply pulsed qubits is presented that can be used as a
visual tool for students. Furthermore, analytic solutions may be obtained when
the interaction $V(t)$ is proportional to $\delta(t-t_k)$, namely when a fast
interaction, called a kick, is used.
