How else do you describe the premeditated taking of another person's life? What is murder if not that? Ah, that's right, only bad guys can murder.
The main distinction being that a murder committed by a criminal is an unlawful act committed against an undeserved person and that a state execution is a lawful act committed against a deserving person who committed a unlawful act. While the physical act of ending a life is the same, there are clear differences.
"deserving" is a nonsensical term, Mr Gamecock.