quick study vs student

quick study and student both are nouns.

Word	Noun	Adjective	Verb	Adverb
quick study	Yes	No	No	No
student	Yes	No	No	No

As nouns, student is a hypernym of quick study; that is, student is a word with a broader meaning than quick study:

quick study: someone able to acquire new knowledge and skills rapidly and easily
student: someone (especially a child) who learns (as from a teacher) or takes up knowledge or beliefs

Other hypernyms of quick study include assimilator, learner, scholar.

quick study (noun)	student (noun)
someone able to acquire new knowledge and skills rapidly and easily	a learner who is enrolled in an educational institution
	someone (especially a child) who learns (as from a teacher) or takes up knowledge or beliefs