Before revision: Clique problem has several applications in computer vision, automatic test pattern generation, predicting protein structures, and many kinds of such pattern search .
After revision: Clique problem has several applications for its pattern matching ability. k-clique problem, a special case of clique problem, determines whether an arbitrary graph contains a clique of size k, has already been addressed in quantum domain. A variant of k-clique problem that lists all cliques of size k, has also popular modern-day applications. Albeit, the implementation of such variant of k-clique problem in quantum setting still remains untouched .