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https://en.wikipedia.org/wiki/Gleason%27s_theorem https://en.wikipedia.org/wiki/Gleason%27s_theorem

• wizzwizz4 5y ago
  Huh. I can't believe I missed this. Thanks.
  • nabla9 5y ago
    In quantum computing the consequence of the theorem (as I understand it) is that once you have asked every yes/no question there is to ask about the state, the state has collapsed.
    • wizzwizz4 5y ago
      I didn't think you needed the theorem for that; quantum entanglement behaves very similarly to information theory (specifically, information provenance).
• tsimionescu 5y ago
  As far as I can tell, that is just explaining the numeric value of the Born rule, not the wave function collapse/update. I have not found any claims that Gleason's theorem (which I was unaware of, so thank you for pointing it out!) solves the measurement problem.