Draft:No-conspiracy assumption
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No Conspiracy
The "no-conspiracy" condition in quantum physics is a concept primarily discussed in the context of Bell's theorem and its implications for the foundations of quantum mechanics.
The no-conspiracy assumption is the idea that the settings of a measurement device (like the orientation of a polarizer or spin detector) are statistically independent of the hidden variables that determine the outcomes of quantum measurements.
Mathematically:
If λ represents hidden variables and a and b are settings chosen by the experimenters, then:
P(λ | a, b) = P(λ)
This means that the hidden variables λ are not correlated with the choice of measurement settings a and b. Violating this condition implies some kind of "conspiracy": that the universe conspires to align the hidden variables with the detector settings in just the right way to reproduce quantum correlations.