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But now I see there's something called the ANTI-zeno effect, where continuous measurement somehow INDUCES state change? I don't see how this could happen since (i) the form of the hamiltonian makes no difference to the above original QZE proof (ii) the hamiltonian operator can be substituted out for any operator and the original QZE proof still holds; and (iii) it seems to have nothing to do with open vs closed systems.

Can anyone explain in simple terms what brings about the anti-zeno effect?

Thanks!