Application quantum renormalization group to optimal dense coding in transverse Ising model

We have merged the object of renormalization group(RG) with quantum dense coding for one-dimensional Ising model in a transverse field. At first, we have shown how the dynamic quantum discord(QD) evolves in present intrinsic decoherence when the size of the system becomes large, i.e., the finite size scaling is obtained. By considering that the generation of highly entangled quantum states is a fundamental requirement for quantum information, the main purpose of this work is to answer the following question: how the valid optimal dense coding can be determined by RG in many body systems? We find that the optimal dense coding capacity depends on the normalization group. It has been found that valid dense coding can exist with the increasing of RG steps. Moreover, the results show that by increasing of RG steps, valid dense coding capacity suddenly occurs near the critical point of the quantum phase transition in present intrinsic decoherence. Using this approach, identifying a critical point of the transverse Ising model in dense coding capacity quality can be very effective.