Earlier quoted context omitted.
Things are much cheaper when someone subsidizes them. If the state funds nuclear at below the rate the market would give, that's a subsidy. It could mean, for example, that the state is taking on financial risk that would otherwise have been accounted for in higher interest rates.
This is not a subsidy but a loan. If the state wants to stay out of it, but only has to say: "we are going to be using nuclear power for the next 40 years", and the interests will naturally go down because the investment is safer, and so everybody would pay less. One would think that the state backing (either politically or financially) investment in infrastructure would make sense, since it benefits everyone.
Requiring use of nuclear even if it becomes noncompetitive is also a subsidy.
What's happening in both cases is that risk is being moved from the investor to the public. Privatize profits, socialize risk. It's the nuclear story as old as time.