How can you ensure that the particle has already been entangled?

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SUMMARY

To determine if a particle or a pair of particles is entangled, one must analyze multiple particles prepared in the same manner. The discussion emphasizes that without knowledge of the preparation method, it is impossible to confirm entanglement for a single particle. However, with a larger set of particles, the certainty of entanglement increases. Additionally, the process of an electron transitioning from a higher energy level and emitting two photons results in entangled photons with opposite spins.

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Hououin Kyouma
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There are several questions I am wondering.
1. If I give you a particle, how can you ensure that the particle has already been entangled?
2. If I give you a pair of particles, how can you ensure that these particles have already been entangled?

In how many ways, e.g. in the theoretical/mathematical method can be used to solve the problem?

Thank you all for answering.
 
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If you give me one or two particles and don't tell me how did you prepared them, then I cannot determine that they are entangled. However, if you give me many particles, or many pairs of particles, which are all prepared in the same way, then I can determine whether they are entangled. The more particles you give me, I can determine it with better certainty.
 
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Hououin Kyouma said:
There are several questions I am wondering.
1. If I give you a particle, how can you ensure that the particle has already been entangled?
2. If I give you a pair of particles, how can you ensure that these particles have already been entangled?

In how many ways, e.g. in the theoretical/mathematical method can be used to solve the problem?

Thank you all for answering.
If an electron at a higher energy level, it downward transition twice and emit one photon at each downward transition, the two photons created this way entangled each other , their spins always opposite.
 

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