tag:blogger.com,1999:blog-1500584444083499721.post8638006934178420814..comments2024-03-24T09:28:42.755+01:00Comments on CJ on Mathematics and Science: Is Quantum Computing Fiction?Claes Johnsonhttp://www.blogger.com/profile/07411413338950388898noreply@blogger.comBlogger2125tag:blogger.com,1999:blog-1500584444083499721.post-44429307843074106552009-06-15T16:20:14.092+02:002009-06-15T16:20:14.092+02:00Dear Matt:
Thanks for comment. Any statement that...Dear Matt:<br /><br />Thanks for comment. Any statement that Schrödingers equation is valid for a large number of electrons is questionable, since solutions to the equations cannot be determined analytically nor computationally. <br />If solutions are unknown how can you verify that they fit with observations?<br /><br />Any comment to my knols?<br /><br />Best regards,<br /><br />ClaesClaes Johnsonhttps://www.blogger.com/profile/07411413338950388898noreply@blogger.comtag:blogger.com,1999:blog-1500584444083499721.post-16602377834328993832009-06-15T14:51:30.113+02:002009-06-15T14:51:30.113+02:00Recent experiments seem to confirm that the Schroe...Recent experiments seem to confirm that the Schroedinger equation is valid for extremely large numbers of particles, e.g. superpositions of macroscopic numbers of electrons circulating in two directions in a SQUID ring have been observed and the double slit experiment has been performed with carbon-60 molecules. Much of condensed matter theory depends on the existence of wavefunctions that involve large numbers of atoms and they don't seem to be having any problems reconciling theory with experiment at the moment. Therefore, I would say that some of the reasons to doubt macroscopic superpositions have definitely been refuted at this point.<br /><br />On the other hand, none of these experiments involve fine-grained control of large quantum systems, which is what would be required for a quantum computer. It is still possible that something goes wrong with quantum theory before we reach this point, although you would be lucky to find any physicists betting that way. In any case, it would be extremely interesting if any fundamental limitations were found during the attempt to build a quantum computer, so I would argue that we win either way.Anonymousnoreply@blogger.com