  In this proposal, we present an experimental setup based on superconducting
circuits and Josephson junctions to explore the modification of Josephson
coefficient in the presence of external magnetic field due to vacuum
polarization of quantum electrodynamics. This robust experiment can be
considered as one of the few possible chances to observe the fine quantum field
theory corrections in the low energy regimes in condensed matter systems. It
can also be a new check for the universality of Josephson constant which is
important in metrology. We will expect the signal to noise ratio of the
read-out signal to increases quadratically by running time of the experiment.
This characteristic of the output signal the will guarantee the feasibility of
measurements with desired precision
