quote vs mention

quote and mention both are nouns.

Word	Noun	Adjective	Verb	Adverb
quote	Yes	No	Yes	No
mention	Yes	No	Yes	No

As verbs, mention is a hypernym of quote; that is, mention is a word with a broader meaning than quote:

Other hypernyms of quote include advert, bring up, cite, name, refer.

quote (noun)	mention (noun)
a punctuation mark used to attribute the enclosed text to someone else	an official recognition of merit
a passage or expression that is quoted or cited	a remark that calls attention to something or someone
	a short note recognizing a source of information or of a quoted passage

quote (verb)	mention (verb)
repeat a passage from	make mention of
refer to for illustration or proof	commend
put quote marks around	make reference to
name the price of