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This is very well written. I checked for a couple of common issues that arise in introductory presentations of quantum mechanics, and found that you navigated m
by abdullahkhalids 3y ago
This is very well written. I checked for a couple of common issues that arise in introductory presentations of quantum mechanics, and found that you navigated most of them correctly.
For example, in the entanglement section, you did discuss that entanglement is a basis independent property, which is a critical point to make - basis dependent "entanglement" exists in classical systems; it is just correlation.
However, I disagree with the inclusion of the paragraph starting "There is something strange about the EPR state." The emphasis on 'immediately' in conjunction with the large distance between Alice and Bob is particularly problematic. The setting of EPR experiments is necessarily in a relativistic world, and in that world time is only a local property. Saying things happen simultaneously (= immediately) implies the presence of a privileged frame of reference, which is exactly what we don't want to do. There are ways of saying these things correctly, but that requires a lot more setup.
I also have a minor nitpick in the sentence below" "We have complete certainty about the state of the composite system |\psi_-\rangle^{AB} , and complete uncertainty about the states of the individual subsystems controlled by Alice and Bob" Since, entanglement exists on a scale, it is better to delete the second "complete" in the sentence, as we can have only partial uncertainty (in the sense of some entanglement measure) about Alice and Bob's systems.
- ivansavz 3y agoThanks for taking a look and reporting the issues. I'll add clarifications around the "immediately" and remove the second "complete" as per your suggestions.