Entanglement between particles that did not coexist (at the same time)

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SUMMARY

The discussion centers on the concept of entanglement swapping as presented in the paper by Eisenberg et al. (http://arxiv.org/abs/1209.4191). It explores the relationship between photons 1 and 2, and photons 3 and 4, particularly after photon 1 is destroyed upon measurement. The key conclusion is that photon 4's state remains indeterminate while it is entangled with the destroyed photon 1, raising questions about the nature of information extraction when a photon is destroyed. The discussion highlights the complexities of quantum entanglement and the implications of measurement on entangled states.

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Quantum physicists, researchers in quantum mechanics, and students studying advanced quantum theories will benefit from this discussion, particularly those interested in the nuances of entanglement and measurement effects.

San K
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entanglement between particles that do not coexist (at the same time)

In the paper by eisenberg et. el.

http://arxiv.org/abs/1209.4191

Photon 1 and 2 are entangled.
Then 1 is measured, say spin up. The measurement, naturally, "destroys" photon 1.

Then at a (slightly) later time an entangled pair of 3 & 4 is created.

Then photon 2 is entangled with photon 3.

Photon 1 and 4 are considered to be entangled when 2 is entangled with 3. This is known as entanglement swapping.

However 1 was destroyed. Thus it became determinate (say spin up) at the time of destruction.

In entanglement, as we know, the particles are in an indeterminate state (before measurement).

Question 1: Is 4 in an indeterminate state (while assumed entangled with the destroyed 1) when 2 and 3 are entangled?

Question 2: if we did a separate experiment where photon 2 was measured and let's say it came spin up. (and there was/is no photon 1 in this experiment).

Then 2 was entangled with 3 (which is currently entangled with 4),

what would the spin of 4 turn out to be on measurement? ...in this case/experiement
 
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information on destruction of a photon

is information, not-necessarily, considered extracted/gleaned/taken when a photon is destroyed?

...in the case of standard entanglement or entanglement swapping or any kind of entanglement...
 
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