Does the quantum no-communication theorem apply to multiple particle entanglement as well? To illustrate the idea, suppose we had particles A, B and C with entangled spin. We measure A and B locally using, say, detector angle 0 for particle A and angle 45 for particle B. Particle C is measured elsewhere with unknown detector angle. Could the correlation between measured spins of A and B somehow depend on the detector angle used for C? With only two entangled particles, it's quite easy to accept that we cannot tell anything about distant detector angle or correlation between results just by looking local measured results (which seem completely random). This is not as clear with three particles, because we have two results available locally and we might have more information contained in these. Does anyone know some experiment that could be applicable here, or some other way to solve this? Thanks.