  Two transversely coupled and resonant qubits form symmetric and antisymmetric
states as their eigenstates. In this paper, we show that parametric modulation
of an individual qubit enables direct Rabi swapping between the two states. Its
application to setup a $\Lambda$-type system with a pair of strongly coupled
superconducting transmon qubits is discussed. The excited state is made of the
symmetric state and the metastable state is the antisymmetric state. The
coherence of the metastable state is only limited by the pure dephasing
mechanism. Based on this scheme, $\Lambda$-type electromagnetically induced
transparency, Autler-Townes splitting and stimulated Raman adiabatic passage
are numerically demonstrated. We highlight the large frequency tunability in
such superconducting $\Lambda$-type systems.
