crowned head vs head of state

crowned head and head of state both are nouns.

Word	Noun	Adjective	Verb	Adverb
crowned head	Yes	No	No	No
head of state	Yes	No	No	No

As nouns, head of state is a hypernym of crowned head; that is, head of state is a word with a broader meaning than crowned head:

crowned head: a nation's ruler or head of state usually by hereditary right
head of state: the chief public representative of a country who may also be the head of government

Other hypernyms of crowned head include chief of state, ruler, swayer.

crowned head (noun)	head of state (noun)
a nation's ruler or head of state usually by hereditary right	the chief public representative of a country who may also be the head of government