Eistein Podosky Rosen extended

[NateTG]

This is a question about a slightly modified version of the EPR experiment:

The experiment requires:
A source of entangled positron pairs
A source of entangels electron pairs
A pair of Stein-Gerlach type spin orientation detectors.

Let's say that there is a linear arrangement of
Detector - Positron source - Annihillation Chamber - Electron Source - Detector

And, I try to measure correlation between spin states of the electron at one end, and the positron at the other in a fashion similar to that of the EPR experiment.

Does QM - if it matters let's say the Copenhagen interpretation - indicate that there will be spin corellation between the pairs?

This experiment is interesting to me because it creates a situation where Bell's theorem may not be necessary to eliminate locality. Since any 'synconization pulse' would have to have taken place before the electron/postitron pair came into existence. On the other hand, AFAIK, the products of the Positron/Electron interaction have net spin zero, so a lack of correlation would indicate a violation of conservation of spin/angular momentum.

 

[Evalesco]

Yes, according to the Copenhagen interpretation of quantum mechanics, there should be spin correlation between the pairs. The theory suggests that the spins of the particles are correlated even before the measurement is made, and thus the measurements will show this correlation. In this example, since the positron and electron sources are both entangled, the particles should be in a state of entanglement prior to the measurements being made, which would result in a correlation in the measurements.