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I think the parent is talking about a response to this point of view. Historically, people first wondered whether QM could be explained by hidden variables. The
by ealloc 12y ago
I think the parent is talking about a response to this point of view. Historically, people first wondered whether QM could be explained by hidden variables. Then they proved it could not, which seemed to imply "spooky action at a distance". But now, Susskind is arguing that actually the logic of the 'hidden variable' gives the right intuition, even though there isn't actually a hidden variable.
Here's how I have come to think of it: When you create the two opposite-spin particles and send them to opposite ends of the galaxy, they exist in a superposition of states which follows QM probabilities. The spins are anti-aligned in all of these possible states , but pointing in a different direction in each state. When one person observes his/her particle, you can imagine it's like they are 'masking out' many of the possible states, leaving just one of the possible "universes". But no matter which "universe" gets masked out, in the "surviving universe" the spins are going to be anti-aligned.
This is a lot like the 'hidden variable' picture where the spins were pre-decided and put into boxes, and when person A opened her box and saw "up" she knew that the other person must have the "down" spin. The difference is that QM probabilities are not consistent with the probabilities you would get from such a boxing procedure (in particular when the observers measure the spin at different angles). But conceptually, opening the box and realizing that you have the "up" spin and therefore the other person has down is a lot like doing a spin measurement and masking out many of the superpositions, and concluding that the other person must have the opposite spin from what you measured.
- chm 12y agoWhen you create the two opposite-spin particles They are not opposite spin, they are entangled! Their spin is undefined until measured even though they are perfectly anticorrelated, as you mention. Here's another way to frame this: Composite systems can exhibit entanglement. The Hilbert space such systems live in (H) is the tensor product of the individual component Hilbert spaces (H1, H2). Now the most general state in H is a linear combination ∑ c_ij |i>_1 ⊗ |j>_2 where the subscripts 1 and 2 refer to the component Hilbert spaces. Some of these superpositions are not separable into tensor products of states from each component space H1 and H2. One such superposition is (omitting c_ij) |00> + |11>, as you can see it is not separable. The state |01> + |11> on the other hand can be separated as (|0> + |1>)⊗|1>. An entangled state is an inseparable state. So the point is that classical analogies are not to be used when dealing with quantum mechanics. Unless someone proves local realism or something replaces QM, that's how it's got to be!