Cost comparison between code teleportation and stabilizer sequence methods for quantum code conversion

There are two methods for code conversion: stabilizer sequence and code teleportation. The stabilizer sequence method is to apply a sequence of stabilizers between two codes with repetitive error-correction by stabilizers. On the other hand the code teleportation is to apply the teleportation of encoded qubits. Since we have two methods, it is our choice to choose any of them for target situation. To guide the choice, we analyze the necessary cost for each protocol. Specifically we compare two methods for the situation where 5-qubit and 7-qubit should be interchanged. In this work, we found that the code teleportation method needs less overhead than the stabilizer method.