We propose to investigate flux qubits by the impedance measurement technique
(IMT), currently used to determine the current--phase relation in Josephson
junctions. We analyze in detail the case of a high-quality tank circuit coupled
to a persistent-current qubit, to which IMT was successfully applied in the
classical regime. It is shown that low-frequency IMT can give considerable
information about the level anticrossing, in particular the value of the
tunneling amplitude. An interesting difference exists between applying the ac
bias directly to the tank and indirectly via the qubit. In the latter case, a
convenient way to find the degeneracy point in situ is described. Our design
only involves existing technology, and its noise tolerance is quantitatively
estimated to be realistic.Comment: 6 pages, 11 figures, to appear in Phys.Rev.