Quantum computing power is needed to be able to model and stabilize the plasma in almost all of the current experiments. So both are driving the other.
In order to convince everyone in general about the safety of nuclear fusion, the following sentence is crucial: "it is not about containing the reaction, but about 'containing' the reaction." For anyone asking about the obvious 'in terminis' contradiction, suffice it to say that the possibility of a more or less catastrophic accident with a nuclear fusion reactor is 0%. Precisely, the great problem to achieve nuclear fusion is that the force that generates the reaction does not escape (it can be "contained"), - and is lost -.