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Quantum Physics

arXiv:0908.3408 (quant-ph)
[Submitted on 24 Aug 2009]

Title:Entangled quantum states in a local deterministic theory

Authors:Gerard 't Hooft
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Abstract: Investigating a class of models that is familiar in studies of cellular automata, we find that quantum operators can be employed to describe their long distance behavior. These operators span a Hilbert space that appears to turn such a model into a genuine quantum field theory, obeying the usual conditions of locality in terms of its quantum commutators. Entangled states can be constructed exactly as in quantum theories.
This raises the question whether such models allow Bell's inequalities to be violated. Being a local, deterministic theory, one would argue that this is impossible, but since at large distance scales the model does not seem to differ from real quantum field theories, there is reason to wonder why it should not allow entangled states. The standard arguments concerning Bell's inequalities are re-examined in this light.
Comments: 22 pages, 3 figures, 2nd Vienna Symposium on the Foundations of Modern Physics (June 2009)
Subjects: Quantum Physics (quant-ph)
Report number: ITP-UU-09/77, SPIN-09/30
Cite as: arXiv:0908.3408 [quant-ph]
  (or arXiv:0908.3408v1 [quant-ph] for this version)
  https://doi.org/10.48550/arXiv.0908.3408

Submission history

From: Gerard Hooft 't [view email]
[v1] Mon, 24 Aug 2009 10:56:20 UTC (50 KB)
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