  The dramatic growth of research areas within the province of quantum state
transmission (QST) is rapidly accelerating. An important insight to understand
the process of QST can be fulfilled by considering the dynamical behavior of
its entanglement content. One well-established approach to continuously
transfer quantum states is utilizing spin structures. Here, from the view of
entanglement propagation, we disclose the signature of fractional QST
possibilities. In the present work, we proposed a form of spin-$\frac{1}{2}$
triangular plaquette whose Hamiltonian entails the spin-orbit coupling on the
rungs and exchange interaction over the legs. The feature of such a system is
that the time instants of QST emerge in a discrete fashion, thereby the values
of exchange interactions associated with these moments behave fractionally.
Importantly, it is found that for special values of magnetic interaction, QST
has singularity i.e., the entanglement propagation is forbidden. In addition,
the finite-size nature of this system makes it possible for us to read the
nexus between time crystallinity and symmetry breaking. The development of our
knowledge about time crystalline symmetry and its breaking helps us to
understand the defined concept and fundamental physics of this phenomenon.
