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1 vote
1 answer
210 views

Bell-Kochen-Specker theorem impact on realistic hidden-variable theories

I've read the paper 'Generalizations of Kochen and Specker’s theorem and the effectiveness of Gleason’s theorem', where it says that non-contextual hidden-variable theories are ruled out by a theorem ...
Studentu's user avatar
  • 140
2 votes
1 answer
144 views

How are Gleason's and Kochen-Specker's theorems related?

If, on the one hand, I were to paraphrase Gleason's theorem, it would loosely state that if one can assign a truth value $p_k$ to each basis vector $\vec{u}_k$ such that $\sum_k p_k = 1$, then that ...
Tfovid's user avatar
  • 1,325
1 vote
1 answer
75 views

Is degeneracy of eigenvalues required for the Kochen-Specker theorem?

I'm wondering why the operators for the Kochen-Specker theorem are 3-dimensional while they only produce two eigenvalues $\{0,1\}$. Is this degeneracy always needed regardless of the dimensionality of ...
Tfovid's user avatar
  • 1,325
8 votes
2 answers
295 views

Is Pilot Wave Theory contextual? How?

The Kochen Specker theorem says that hidden variable theories must be contextual. I'm not seeing anything in the definition of Bohmian mechanics that makes the hidden variable variable assignments ...
Ryder Rude's user avatar
  • 6,355
14 votes
2 answers
2k views

What is contextuality?

I have been trying to get and idea of contextuality in quantum mechanics for a while but I still do not get it. Reading Wikipedia lead on quantum contextuality, Quantum contextuality is a feature of ...
Mauricio's user avatar
  • 5,568