  By using local quantum teleportation of a fixed state to one qubit of an
entangled pair sent from the other party, it is shown how one party can commit
a bit with only classical information as evidence that results in an
unconditionally secure protocol. The well-known ``impossibility proof'' does
not cover such protocols due to its different commitment and opening
prescriptions, which necessitate actual quantum measurements among different
possible systems that cannot be entangled as a consequence.
