> On 5 Oct 2020, at 01:04, 'Brent Meeker' via Everything List > <[email protected]> wrote: > > > > On 10/4/2020 12:52 PM, Lawrence Crowell wrote: >> Quantum computers, or processors, will make more inroads into things. They >> have a possible big role in understanding quantum black holes and quantum >> complexity. Any NP problem can be worked faster, at least in principle, with >> a quantum computer. > > I don't think there's any proof of that. Given any quantum computer > algorithm, it is possible that there is an equally fast classical > algorithm...at least that's my understanding of the state of theory.
P ≠ NP is like Riemann Hypothesis. We don’t have (yet) a proof, but very few people believe that it could be false. But also, even if P = NP, it might be that in practice the polynomial will be so complex that a quantum computer will still run faster than any reasonable classical computer. Now, I sincerely doubt that P could be equal to NP, despite the vexing difficulty we met when trying to prove P ≠ NP. Bruno > > Brent > >> In working on quantum complexity I see how this problem of a 1-dim chain >> filling space in a complex geometry or topology has a possible bearing on >> the Hodge conjecture. The use of epsilon balls and a regularization scheme >> in quantum complexity may play some role here. >> >> LC >> >> On Sunday, October 4, 2020 at 1:54:45 PM UTC-5 [email protected] >> <mailto:[email protected]> wrote: >> On Sun, Oct 4, 2020 at 12:03 PM Lawrence Crowell <[email protected] >> <applewebdata://C927F0B5-32CC-4A5A-ABBB-AA47904D4183>> wrote: >> >> > It makes sense. The phosphorylation of a protein changes its shape. >> >> The linear amino acid sequence that makes up the protein changes the way it >> folds up even more, from a 1-D line into a complex 3-D shape. I think >> predicting what linear sequence of amino acids would be needed to fold into >> a given 3-D shape will be the first and one of the most important tasks a >> Quantum Computer will work on once they become large enough to become >> practical. >> >> John K Clark >> >> >> -- >> You received this message because you are subscribed to the Google Groups >> "Everything List" group. >> To unsubscribe from this group and stop receiving emails from it, send an >> email to [email protected] >> <mailto:[email protected]>. >> To view this discussion on the web visit >> https://groups.google.com/d/msgid/everything-list/40a97d29-ff4d-42de-8d5f-a449d3c5fdben%40googlegroups.com >> >> <https://groups.google.com/d/msgid/everything-list/40a97d29-ff4d-42de-8d5f-a449d3c5fdben%40googlegroups.com?utm_medium=email&utm_source=footer>. > > > -- > You received this message because you are subscribed to the Google Groups > "Everything List" group. > To unsubscribe from this group and stop receiving emails from it, send an > email to [email protected] > <mailto:[email protected]>. > To view this discussion on the web visit > https://groups.google.com/d/msgid/everything-list/9443b9af-3792-ca2f-bd04-f51653d45612%40verizon.net > > <https://groups.google.com/d/msgid/everything-list/9443b9af-3792-ca2f-bd04-f51653d45612%40verizon.net?utm_medium=email&utm_source=footer>. -- You received this message because you are subscribed to the Google Groups "Everything List" group. To unsubscribe from this group and stop receiving emails from it, send an email to [email protected]. To view this discussion on the web visit https://groups.google.com/d/msgid/everything-list/B7628479-A3C4-4E16-8FD2-3C13428E9BD1%40ulb.ac.be.

