the state would presumably risk hyperinflation due to the enormous increase of money and bring the bitcoin rate to astronomical values.
but then, when the state is in possession of "all" bitcoin, it can make the circulation of bitcoin quasi succumb. bitcoin dead, population impoverished, mission accomplished.
it seems that it will not happen, because the bitcoin price is so high it will require huge capital to buy all the Bitcoin in the world, and if it could be an organization controlling Bitcoin completely then there will be no Bitcoin so no exchange between bitcoin users and the organization will experience inflation in the country.