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QT=Quantum Theory, of which QFT is one realization to describe the electromagnetic interaction in terms of charged particles and the em. field (both quantized quantum fields in the first-principle level of description).zonde said:QT gives statistical description of entanglement. But the point of Bell theorem is that there is a testable difference between "long-ranged correlations" realized by local physical mechanisms and non-local physical mechanisms when you analyze the data on the event by event basis.
In that sense there is no difference between QT and QED. QED gives its predictions on statistical level and gives no handle for event by event analysis. I suppose that this not so obvious because QFT speaks about "fields" just like electromagnetic field that is considered physical. But the "field" of QFT is not physical. It's statistical.
According to QT (and thus also of course QFT) there's nothing else than probabilities. If an observable is not determined through preparation, then it's value is indetermined, and you can only know probabilities for the outcome of measurements of this observable. To test the theory you have to perform experiments on a sufficiently large ensemble to gain enough statistics for the aimed level of statistical significance.