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Yes! All the strangeness of quantum probability (entanglement, particularly) seems to vanish if instead of focusing on probabilities, we focus on probability amplitudes. The rules for computing quantum amplitudes are almost exactly the same as the rules for computing probabilities for a random process such as Brownian motion:Here is an illustration of why the time evolution of quantum states reminds one of a Markov process.

- The probability/amplitude for going from A to B and then to C is just the product of the probability/amplitude for going from A to B and the probability/amplitude for going from B to C.
- If there are a number of mutually exclusive for an intermediate state, [itex]B_1, B_2, ..., B_n[/itex], then the probability/amplitude for going from A to C via one of those intermediate states is the sum over j of the probability/amplitude for going from A to [itex]B_j[/itex] and then to C.