Local geometric phase and quantum-state tomography for a superconducting qubit threaded by a magnetic flux
Kicheon Kang · Journal of the Korean Physical Society · 2014
We investigate the local geometric phase induced by Faraday’s law of induction in a superconducting charge qubit threaded by an Aharonov-Bohm flux. A quantum-state reconstruction scheme, which is based on measurement of three complementary quantities, that is, the extra charge and two local currents, is introduced. We find that, while the variation of the local phase with magnetic field is determined by Faraday’s law, incorporation of the time-reversal symmetry enables complete determination of the local phase. This procedure clearly demonstrates that the local geometric phase is a physical quantity (aside from a global phase factor), in contrast to the standard description of the Aharonov-Bohm effect.