@Mithrandir24601 Any idea if I'm getting the measurement part of this question wrong?

@MoreAnonymous Let me try and get thefacts right first - you're implementing some Hamiltonian. You're also measuring the average energy, but spacelike separated. How then can the measurement apparatus detect any change in energy if the information hasn't had time to travel?

That is, if I'm understanding the premise right, yes you get an increase in energy but that increase still has to 'travel' to the measurement device

@Mithrandir24601 Ah the first time I'm hearing of this Lieb-Robinson velocity bound

Can you recommend me where to read more about it from?

scholarpedia.org/article/Lieb-Robinson_bounds

@Mithrandir24601 A lot if it went above my head honestly

Afraid I don't have much in the way of references - I first heard about the concept on this site and while I've wanted to do actual research into it, I've never had much of a chance beyond a read through a few articles from a Google scholar search

It's fundamentally important to a lot of concepts in quantum computing but the actual details are rarely important beyond knowing that it exists

@Mithrandir24601 Sounds pretty fundamental I always wondered how to show locality in QM. In QFT it's easier since there is microcasuality

Maybe I should aska question about this concept under reference request?