We propose a structure and elements of the diamond chip fabrication technology, which could be used for an experimental study of spectral and dynamic properties of a quantum register prototype formed by a chain of microresonators (disks and rings) containing NV-centers. Making use of the parameters of NV-systems today exist, we simulate the dissipative population dynamics of two NV-centers located in different parts of the two-qubit register. As follows from our numerical results, high probability of controlled indirect qubit interaction via photon transfer from one center to another can be already achieved at the current diamond photonics technology level. The calculated operating parameters of the resonators and measuring structure (grating) are in good agreement with those that have been used in devices created by leading world science groups. The fabrication technique of lithographic mask is discussed and its roughness is estimated.