shut vs change state

shut is an adjective but change state is not an adjective.

Word	Noun	Adjective	Verb	Adverb
shut	No	Yes	Yes	No
change state	No	No	Yes	No

As verbs, change state is a hypernym of shut; that is, change state is a word with a broader meaning than shut:

Other hypernyms of shut include turn.

shut (adjective)	change state (adjective)
not open
used especially of mouth or eyes

shut (verb)	change state (verb)
move so that an opening or passage is obstructed; make shut	undergo a transformation or a change of position or action
become closed
prevent from entering; shut out