Free will, as physicists talk about it, essentially means that my choice to perform some experiments is independent of the state of the system I'm experimenting

Free will, as physicists talk about it, essentially means that my choice to perform some experiments is independent of the state of the system I'm experimenting on. In other words I want it to be true that looking at the system doesn't tell you anything about when / whether I'm going to be performing experiments on it today, and more specifically I don't want you to be able to predict which measurements I'm going to do based on the system alone (i.e. without asking me). This notion of free will is (as far as I can tell) completely necessary in order to meaningfully do physics at all.