  Entangled states are in conflict with a general physical principle which
expresses that a composite entity exists if and only if its components also
exist, and the hypothesis that pure states represent the actuality of a
physical entity, i.e., its 'existence'. A possible way to solve this paradox
consists in completing the standard formulation of quantum mechanics, by adding
more pure states. We show that this can be done, in a consistent way, by using
the extended Bloch representation of quantum mechanics, recently introduced to
provide a possible solution to the measurement problem. Hence, with the
solution proposed by the extended Bloch representation of quantum mechanics,
the situation of entangled states regains full intelligibility.
