Fig. 1. Comparison of concurrence dynamics under the non-Markovian single bath and non-Markovian hybrid bath. (a) Initial state is φ=11; (b) initial state is ψ=(01+10)/2

Fig. 2. Comparison of dynamic evolution of concurrence and channel capacity, the initial states is φ=(00+11)/2.(a) Concurrence; (b) channel capacity

Fig. 3. Influence of different conditions on quantum dense coding. (a) Under non-Markovian single bath, effect of internal coupling strength Jx on quantum dense coding; (b) under non-Markovian hybrid bath, effect of internal coupling strength Jx on quantum dense coding; (c) under non-Markovian single bath, effect of internal coupling strength Jz on quantum dense coding; (d) under non-Markovian hybrid bath, effect of internal coupling strength Jz on quantum dense coding