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Entanglement swapping - any correlation between previous partners?

Is there any correlation between previous partners/group in entanglement swapping?

The question is illustrated with an example below:

Alice has A & B entangled

Bob has C & D entangled

Charlie entangles B & C, which puts/projects A & D into (superposition) entanglement (?),

And breaks the “original” entanglement between A&B and C&D.

Thus, now we have two separately entangled pairs – B&C and A&D

1. Is the above correct?

2. When B and/or C is collapsed and let’s say B comes spin up and C will necessary come spin down (unless the entanglement is not spin anti-correlated). Can we predict the result of the collapse of A&D? I.e. when A is collapsed, can we predict its spin state.

3. Or in other words (same as question 2), would there be any correlation between A & B or C&D?

4. I guess the answer would be NO to question 2 & 3 above, else it would violate Bell's theorem?

Note: we are taking the case of only - spin anti-correlated, pair in the singlet state.

Is there any correlation between previous partners/group in entanglement swapping?

The question is illustrated with an example below:

Alice has A & B entangled

Bob has C & D entangled

Charlie entangles B & C, which puts/projects A & D into (superposition) entanglement (?),

And breaks the “original” entanglement between A&B and C&D.

Thus, now we have two separately entangled pairs – B&C and A&D

1. Is the above correct?

2. When B and/or C is collapsed and let’s say B comes spin up and C will necessary come spin down (unless the entanglement is not spin anti-correlated). Can we predict the result of the collapse of A&D? I.e. when A is collapsed, can we predict its spin state.

3. Or in other words (same as question 2), would there be any correlation between A & B or C&D?

4. I guess the answer would be NO to question 2 & 3 above, else it would violate Bell's theorem?

Note: we are taking the case of only - spin anti-correlated, pair in the singlet state.

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