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We consider the quantum correlations (entanglement and quantum discord)dynamics of two coupled spin qubits with Dzyaloshinsky-Moriya interactioninfluenced by a locally external magnetic field along $z$-direction and coupledto bath spin-1/2 particles as independent non-Markovian environment. We findthat with increasing $D_{z}$ and decreasing $J_{z}$, the value of entanglementand quantum discord increase for both antiferromagnetic and ferromagneticmaterials. Not that, this growth is more for the ferromagnetic materials. Inaddition, we perceive that entanglement and quantum discord decrease withincreased temperature and increased coupling constants between reduced systemand bath. But, strong quantum correlations within the spins of bath reducedecoherence effects. We discuss about type of the constituent material of thecentral spins that it can speedup the quantum information processing and as aresult, we perceive that one can improve and control the quantum informationprocessing with correct selection of the properties of the reduced system ($J$,$J_{z}$, $D_{z}$).

Quantum correlations of Two-Qubit XXZ Heisenberg Chain with Dzyaloshinsky-Moriya interaction coupled to bath spin as non-Markovian environment