A qubit includes a superconducting loop interrupted by a plurality of magnetic flux tunneling elements, such as DC SQUIDs, leaving superconducting islands between the elements. An effective transverse magnetic moment is formed by magnetically tuning each element to yield a large tunneling amplitude. The electrical polarization charge on an island is tuned to produce destructive interference between the tunneling amplitudes using the Aharonov-Casher effect, resulting in an effectively zero transverse field. Biasing the charge away from this tuning allows tunneling to resume with a large amplitude. Interrupting the island with a third tunneling path, such as a Josephson junction, permits independently tuning and biasing the two islands that result, enabling effective control of two independent (X and Y) transverse fields.