From mathematician's point of view entanglement is exactly the fact that not all tensors are decomposable. It totally clicked me once I realized that.
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hmm what do you mean? this is the singlet representation, an irreducible representation, of su(2) x su(2)
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Would prefer to replace "particle" with "system", as entanglement, or QM in general, does not depend on there being a concept of "particle".
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yea you're right but i tried to make it pedagogical
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What does "bring together" exactly mean here???
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good question. You can take it to mean this: Bound them into a localized ‘box’ from which neither can escape. In QM such an environment is called an infinite square well
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How timely. I just started reading Tim Maudlin’s book Quantum Non-Locality and Relativity. As someone with a humanities background learning about the physics and math behind Quantum Entanglement starts to fill in all the gaps in my knowledge.
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Is quantum entanglement distance dependent? I remember learning about it and briefly talking about how (in this scenario) observing particle A spin up would imply that particle B has spin down and how this "information" is then instantaneous...
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Entanglement needs proximity to occur. Then, somehow add distance between entangled particles without observing them, entangled they remain, at any distance. Once distant, and entangled, if you observe one, the state of the other instantaneously sets = instant action at distance
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spooky
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