Stephen Paul King wrote: > There do exist strong arguments that the "macroscopic state" of neurons >is not completely classical and thus some degree of QM entanglement is >involved. But hand waving arguments aside, I would really like to understand >how you and Bruno (and others), given the proof and explanations contained >in these above mentioned papers and others, maintain the idea that "any >quantum computer or physical system can be simulated by a classical >computer."
I agree with almost all the quotations you gave in your post http://www.escribe.com/science/theory/m4254.html But they are not relevant for our issue. Quantum computer can be emulated by classical computer (see below). Quantum computer does not violate Church thesis. The set of quantum computable functions is the same as the set of classically computable functions. The difference are the following points 1) and 2): 1) A classical computer cannot emulate a quantum computer in "real time", nor 2) can a classical computer provide a pure 3-person emulation of some quantum *processes* like the generation of truly random numbers. But this is not relevant concerning our fundamental issue. Concerning 1) the only thing which matters is that the classical UD runs all programs including quantum one. THEN, by UDA reasoning, it is shown that "real time" is a 1-person (plural) emerging notion. Even if the UD need many googol-years to compute each "quantum step", from the inside 1-person point of view, that delays are not observable. CF the "invariance lemma" in UDA. Concerning 2): idem! We cannot generate truly random sequences, but we can easily (with the comp hyp!!!) generate histories in which most average observers will correctly believe in truly random sequences. It is enough for that purpose to iterate the Washington-Moscow self-duplication experiment. If you iterate this 64 times, most of the 1.85 10^19 version of you will conclude (correctly with comp) that they are unable to predict their next self-output (W or M) and that their histories, in this context are truly random. Now, the simple reason why the quantum is turing-emulable is that the solutions of Schroedinger or Dirac Wave Equation(s) are computable. If you simulate such a wave you will realise that it simulates the many-world or many-dreams, even in such a way of making extravaguant histories much more rare than normal (lawfull) histories. This is not yet obvious with pure comp, where non quantum histories must yet be proved measure-negligeable (but see my thesis and posts to get a feeling why with comp it should be so, and why indeed it seems to be so). Bruno