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We address the question of whether the quantum-mechanical wave function$\Psi$ of a system is uniquely determined by any complete description $\Lambda$of the system's physical state. We show that this is the case if the lattersatisfies a notion of "free choice". This notion requires that certainexperimental parameters---those that according to quantum theory can be chosenindependently of other variables---retain this property in the presence of$\Lambda$. An implication of this result is that, among all possibledescriptions $\Lambda$ of a system's state compatible with free choice, thewave function $\Psi$ is as objective as $\Lambda$.

A system's wave function is uniquely determined by its underlying physical state