Violations of λ-independence introduce hidden variable conspiracies that, by definition, remove the experimenter's ability to freely choose measurement settings, thereby undermining the signaling channel itself.
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Signaling channel(as used in quantum mechanics and information theory)
A way for information to travel or be communicated between two things; here, the ability for one part of an experiment to send information to influence another part.
λ-independence (lambda-independence)(as the concept being violated)
The idea that what we observe in an experiment shouldn't depend on hidden information or variables that existed before we started measuring; essentially, it means that hidden details shouldn't influence what we can actually detect.