  This work investigates the effect of chiral-induced spin selectivity (CISS)
on quantum spin coherence in the radical pair mechanism of avian
magnetoreception. Additionally, we examine the utilitarian role of coherence
for the avian compass by analyzing its correlation with the yield of the
signaling state. We find that both the relative entropy of global coherence and
local coherence in the radical pair increases with CISS. However, only global
coherence exhibit the utilitarian role for the avian compass. We also analyze
the interplay of dipolar interaction with the CISS and their effect on the
coherence of the radical pair. Further, we analyze the effect of environmental
decoherence along with CISS. We conclude that a high CISS results in a high
correlation of global coherence with signaling state yield. It confirms that
CISS plays an important role both for compass sensitivity and coherence in the
avian compass.
