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zonde said:
Any set of orthogonal vectors that span a Hilbert space must be eigenvectors of some Hermitian operator on that Hilbert space.
A Is there an additional assumption in the PBR theorem?
- Thread starter PeterDonis
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The discussion centers on the PBR theorem and the potential oversight of an additional assumption regarding the ontic state during measurement. It suggests that the assumption that the ontic state remains unchanged during the measurement process is crucial for the theorem's validity. The reasoning presented indicates that if the ontic state can change, it undermines the theorem's conclusions, as the post-measurement state may not align with the pre-measurement probability distributions. The conversation also touches on the distinction between ontic and epistemic interpretations of quantum states, emphasizing the need for clarity in understanding these concepts. Overall, the thread raises important questions about the implications of measurement on ontic states in quantum mechanics.