Is there an additional assumption in the PBR theorem?

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SUMMARY

The forum discussion centers on the PBR theorem and the potential oversight of an additional assumption regarding the ontic state during measurement. The user references Leifer's paper (arXiv:1409.1570) to illustrate the Preparation Independence Principle (PIP) and its implications for quantum states. A critical point raised is whether the ontic state remains unchanged during entangled measurements, which is essential for the theorem's validity. The conclusion emphasizes that assuming the ontic state does not change during measurement is necessary to uphold the theorem's claims.

PREREQUISITES
  • Understanding of the PBR theorem and its implications in quantum mechanics.
  • Familiarity with the Preparation Independence Principle (PIP) as discussed in quantum theory.
  • Knowledge of quantum states and their representation in Hilbert spaces.
  • Basic grasp of ontic vs. epistemic interpretations of quantum states.
NEXT STEPS
  • Read Leifer's paper on the PBR theorem (arXiv:1409.1570) for a comprehensive understanding.
  • Explore the implications of the Preparation Independence Principle (PIP) in quantum mechanics.
  • Investigate the differences between ontic and epistemic interpretations in quantum theory.
  • Study the effects of measurement on quantum states and ontic states in entangled systems.
USEFUL FOR

Quantum physicists, graduate students in quantum mechanics, and researchers exploring the foundations of quantum theory will benefit from this discussion.

  • #121
zonde said:
I don't know if there is some general rule about possibility to implement some measurement.

Any set of orthogonal vectors that span a Hilbert space must be eigenvectors of some Hermitian operator on that Hilbert space.
 

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