The phrase "socialist regime" is often used to describe a government or political system in which the means of production and distribution are owned and controlled by the state. However, alternative expressions can be used to describe entities that operate under similar principles such as a "collectivist government," "planned economy," "communist system," or "command economy." These phrases can be used interchangeably with "socialist regime" depending on the context. It's worth noting, however, that each of these expressions might carry some ideological and political connotations associated with them, so it's important to use them as accurately as possible.