A study of magnetic or spin logic appears as an appealing alternative due to its nonvolatile character, which can boost up switching on/off. The influences of Dzyaloshinskii–Moriya (DM) interaction on non-classical correlations play an important role in foundations of quantum technologies such as quantum information and quantum computation. We have considered the anisotropic general spin Hamiltonian (GSH) model in presence of DM interaction in addition to the Landau–Lifshitz–Gilbert (LLG)-model in a pulse magnetic field. For study of ultrafast spin dynamics in exchange bias Co–Mn FM/AFM systems, we present some quantum circuits for a deterministic quantum computing in Co–Mn FM/AFM systems.