  Spin qubits are at the heart of technological advances in quantum processors
and offer an excellent framework for quantum information processing. This work
characterizes the time evolution of coherence and nonclassical correlations in
a two-spin XXZ Heisenberg model, from which a two-qubit system is realized. We
study the effects of intrinsic decoherence on coherence (correlated coherence)
and nonclassical correlations (quantum discord), taking into consideration the
combined impact of an external magnetic field, Dzyaloshinsky-Moriya (DM) and
Kaplan Shekhtman Entin-Wohlman-Aharony (KSEA) interactions. To fully understand
the effects of intrinsic decoherence, we suppose that the system can be
prepared in one of the two well-known extended Werner-like (EWL) states. The
findings show that intrinsic decoherence leads the coherence and quantum
correlations to decay and that the behavior of the aforementioned quantum
resources relies strongly on the initial EWL state parameters. We, likewise,
found that the two-spin correlated coherence and quantum discord; become more
robust against intrinsic decoherence depending on the type of the initial
state. These outcomes shed light on how a quantum system should be engineered
to achieve quantum advantages.
