> When a finite quantum computer can break the Turing barrier, that will > prove something. But when your first step is to prepare an infinite > superposition, that has no applicability to the physical universe. > > Hal Finney >
Precisely. Deutsch's arguments make a lot of assumptions about things being "finitely given"; Calude's theory makes very different assumptions. If you take Calude's assumptions and replace them with finite-precision assumptions, the non-Turing stuff goes away. Less formally: you need to put noncomputable information into QM to get noncomputable information out of QM. If you don't explicitly put noncomputable information into it, you won't get any out. ben
