  We investigate the interaction of two two-level qubits with a single mode
quantum field in a cavity without rotating wave approximation and considering
that qubits can be located at an arbitrary distance from each other. We
demonstrate that there exists a radiation induced interaction potential between
atoms. We studied the properties of the system numerically and in addition
constructed a simple analytical approximation. It is shown that the observable
characteristics are substantially dependent on the distance between the qubits
in the strong coupling regime. This allows one to perform the quantum control
of the qubits, which can be exploited for the recording and transmission of
quantum information.
