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Multiple choice

For first-order Trotterization simulating to total time t with target error epsilon, how must the number of Trotter steps r scale?

r = O(1): a constant number of steps regardless of t and epsilon
r = O(t^2 / epsilon): doubling t quadruples r, and halving epsilon doubles r
r = O(sqrt(t) / epsilon): sub-linear in t
r = O(t / epsilon): linear in both t and 1/epsilon