A two logic qubits formalism, built from the direct product of a single qubit state with its dual , is introduced. Natural phase shifting of a quantum state is represented by an unitary operation acting on a single qubit state. Thus, the respective initialization state for the transference of information (exchange protocol) is sustained on three maximally entangled Bell states. This state serves for building a simple dual error correction code. Through the use of present formalism it is also shown that quantum errors coming from a uniform external magnetic act as the identity on the information carrying system while change the spin orientation of the syndrome. In other words, information is encoded in such a way that it is protected from errors indefinitely, without intervention.