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If you must have two or or more particles together in order to entangle them.

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  • $\begingroup$ The answer mostly depends on your interpretation of QM. If your view is similar to something like the MWI, then such a picture is possible. $\endgroup$ Commented Aug 14 at 11:10
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    $\begingroup$ Could you write a more clear text in the body? $\endgroup$ Commented Aug 14 at 11:37
  • $\begingroup$ These might help. From Veritasium, Parallel Worlds Probably Exist. Here’s Why. From Don Lincoln, What really happened at the Big Bang? $\endgroup$ Commented Aug 14 at 12:35
  • $\begingroup$ Why don't you choose a pair of particles and calculate their entanglement entropy to find out? $\endgroup$ Commented Aug 14 at 21:48
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    $\begingroup$ There were no particles at the time of the Big Bang. Those came later. $\endgroup$ Commented Aug 14 at 22:29

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It is true that more than $N=2$ particles can be entangled. However, a system of such particle count cannot be maximally entangled. Each additional particle above $2$ reduces the entanglement possible between others. As $N$ increases, the amount of measurable entanglement quickly decreases*. Consequently, any hypothetical shared entanglement between random particles (located anywhere) would be infinitesimally small. Due to decoherence, none would be expected.

The specific effect is called Monogamy of Entanglement. To learn more, see:

Monogamy of Entanglement (Wiki)

A simple proof of Monogamy of Entanglement

Consequently, for all practical purposes, the answer to your question is no.

*Although in a lab environment, some limited exceptions are possible.

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