The original dense coding protocol is achieved via quantum channel generated
between a single Cooper pair and a cavity. The dynamics of the coded and
decoded information are investigated for different values of the channel's
parameters. The efficiency of this channel for coding and decoding information
depends on the initial state settings of the Cooper pair. It is shown that,
these information increase as the detuning parameter increases or the number of
photons inside the cavity decreases. The coded and decoded information increase
as the ratio of the capacities between the box and gate decreases. In the
presence of imperfect operation, the sensitivity of the information to the
phase error is much larger than the bit flip error