Kochen-Specker for two particles

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SUMMARY

The discussion centers on the Kochen-Specker theorem as it pertains to two separated particles, referencing Conway's lecture on "Free Will." The key conclusion is that each particle possesses its own set of measurement outcomes that are not correlated with one another, thus resolving the paradox. The original paper by Kochen and Specker (1967) and the book by Peres (1995) are recommended as foundational texts for understanding this topic.

PREREQUISITES
  • Understanding of quantum mechanics principles
  • Familiarity with the Kochen-Specker theorem
  • Knowledge of measurement theory in quantum physics
  • Basic grasp of hidden variable theories
NEXT STEPS
  • Read the original paper by Kochen and Specker (1967): "The Problem of Hidden Variables in Quantum Mechanics"
  • Study the book by Peres (1995): "Quantum Theory: Concepts and Methods"
  • Explore measurement theory in quantum mechanics
  • Investigate the implications of local state changes in quantum systems
USEFUL FOR

Quantum physicists, researchers in quantum mechanics, and students seeking to understand the implications of the Kochen-Specker theorem and measurement theory.

Gerenuk
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I've just saw Conway's lecture about "Free will" at princeton lectures online. It contains a nice explanation for the Kochen-Specker theorem for a spin-1 particle that is measured in 3 perpendicular directions (along symmetry directions).

I find it plausible that the state of a system changes locally(!) once a measurement is done. This would resolve the paradox of a single spin-1 particle (in Conways version at least).
I couldn't follow exactly what Conway said about two separated particles. If I assume that for whatever reason a measurement can change the state of the object, would it also resolve the problem for two separated particles? I assume that the measurement induced change of the object is only local.
Anyone got an easy reference about Kochen-Specker for two separated particles? Or someone knows what I mean with my first statement and has an answer to my second question?
 
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A:I believe that the resolution to the Kochen-Specker paradox for two separated particles is that each particle has its own set of possible outcomes for a given measurement, and these sets are not necessarily correlated with each other. That is, the outcome of one particle's measurement does not determine the outcome of the other, and thus there is no inconsistency.As for references, I would recommend starting with the original paper by Kochen and Specker (1967): "The Problem of Hidden Variables in Quantum Mechanics". It's not an especially easy read, but it's the seminal work on the subject. Another good reference is the book by Peres (1995): "Quantum Theory: Concepts and Methods". This provides an excellent overview of the topic, as well as a detailed discussion of the Kochen-Specker paradox.
 

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