Distinct Quantum States Cannot Be Compatible with a Single State of Reality
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Recently Lewis et al. [Phys. Rev. Lett. 109, 150404 (2012)] demonstrated that additional assumptions such as preparation independence are always necessary to rule out a psi-epistemic model, in which the quantum state is not uniquely determined by the underlying physical state. Their conclusion is based on an analysis of conventional projective measurements. Here we demonstrate that protective measurements, which are distinct from projective measurements, already shows that distinct quantum states cannot be compatible with a single state of reality. This improves the interesting result obtained by Pusey, Barrett and Rudolph [Nature Phys. 8, 475 (2012)].