The original dense coding protocol is achieved via a quantum channel generated between a single Cooper pair and a cavity. The dynamics of the coded and decoded information is investigated for different values of the channel's parameters. It is shown that these two types of information increase as the detuning parameter increases or the number of photons inside the cavity decreases. The coded and decoded information increases as the ratio of the capacities between the box and the gate decrease. The dynamics of information is investigated in the presence of imperfect operation during the coding process. It is found that, for the phase flip error, the upper bound of the coded and decoded information is much smaller than that depicted for the bit flip errors.
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