cantonment vs military quarters

cantonment and military quarters both are nouns.

Word	Noun	Adjective	Verb	Adverb
cantonment	Yes	No	No	No
military quarters	Yes	No	No	No

As nouns, military quarters is a hypernym of cantonment; that is, military quarters is a word with a broader meaning than cantonment:

cantonment: temporary living quarters specially built by the army for soldiers
military quarters: living quarters for personnel on a military post

cantonment (noun)	military quarters (noun)
temporary living quarters specially built by the army for soldiers	living quarters for personnel on a military post