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

In summary, the paper discusses the concept of entanglement between particles that do not coexist at the same time. It explains how entanglement swapping occurs when a measurement is done on one of the entangled particles, leading to the determination of its state and the entanglement of the other particles. The questions raised in the conversation revolve around the state of the particles when they are entangled and the information extracted when a photon is destroyed.
  • #1
San K
911
1
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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  • #2
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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1. What is entanglement between particles that did not coexist?

Entanglement between particles that did not coexist refers to the phenomenon where two or more particles become correlated in a way that their properties become dependent on each other, even though they may have never interacted or existed at the same time.

2. How does entanglement between particles that did not coexist occur?

Entanglement between particles that did not coexist can occur through various processes, such as spontaneous emission, quantum state collapse, and quantum tunneling. It can also be created intentionally through techniques like quantum teleportation.

3. What are the implications of entanglement between particles that did not coexist?

Entanglement between particles that did not coexist has significant implications in the field of quantum mechanics. It allows for the possibility of instantaneous communication over large distances, known as quantum teleportation, and plays a crucial role in quantum computing and cryptography.

4. Can entanglement between particles that did not coexist be observed in real-life situations?

Yes, entanglement between particles that did not coexist has been observed in laboratory experiments involving photons, atoms, and other particles. However, due to its delicate nature, it is challenging to observe in real-life situations.

5. How does entanglement between particles that did not coexist challenge our understanding of causality?

Entanglement between particles that did not coexist challenges our understanding of causality because it suggests that the properties of particles can be correlated without any direct interaction or causal relationship between them. This goes against our traditional understanding of cause and effect in the classical world.

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