If we do wish to take the theory seriously, as we should since it is so powerfully accurate, then we are led to the Many-Worlds Interpretation as the most "face-value" interpretation.
Many Worlds? The Everett Interpretation
Many Worlds? The Measurement Problem
If we accept quantum mechanics as an accurate description of the world at the microscopic level, then we must translate its mathematical framework into an interpretation.
The Platonic Realm 