crowned head vs chief of state

crowned head and chief of state both are nouns.

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

As nouns, chief of state is a hypernym of crowned head; that is, chief 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
chief of state: the chief public representative of a country who may also be the head of government

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

crowned head (noun)	chief 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