On 5/14/2023 4:41 AM, John Clark wrote:
On Sat, May 13, 2023 at 8:12 PM Brent Meeker <meekerbr...@gmail.com> wrote:

    /> It won't be a big deal because, so far, quantum computers have
    only a very small domain where they are superior. And even if they
    were a million times faster across the board, it's not clear how
    that would change things? What practical problems are there that
    would go from usoluble to  soluble by computers being a million
    times faster?/


Any calculation involving quantum mechanics could be done billions or trillions of times faster on a quantum computer. It's easy to calculate the light spectrum of hydrogen, the simplest element, but doing the same thing for helium the second simplest , requires months of calculations on the largest supercomputer on earth, and the sun will turn into a red giant before such a computer could calculate the spectrum of one of the heavier elements. And trying to figure out what spectrum molecules will produce is even more difficult.

Yes, some things are faster to measure than to calculate.  And I note that recently a classical algorithm was found for folding of proteins (which was formerly touted as THE application for quantum computation):


And  suppose you have an old-fashioned telephone book for Manhattan that has 1 million entries in it and you had a telephone number but no name to go with it.  If you use a classical algorithm to find the name that matches that number it would take you on average 500 thousand steps before you found the match, but if you used Grover's quantum algorithm then it would only take you the square root of a million steps, just one thousand steps not 500thousand. And when quantum computers become available for hackers to play with I have no doubt they will find many more useful algorithms.

John K Clark    See what's on my new list at Extropolis <https://groups.google.com/g/extropolis>
w3x



    Brent

    On 5/13/2023 2:58 PM, John Clark wrote:
    On Sat, May 13, 2023 at 5:14 PM Lawrence Crowell
    <goldenfieldquaterni...@gmail.com> wrote:

        /> Curious, for a part of my discussions with GPT-4 involve
        the relationship between anyons and a lattice form of
        supersymmetry. Nonabelions can then act as a sort of
        supersymmetric protection of quantum states./

    If this can be made practical then this new development will be a
    very big deal, in fact about as big a dealas deals get. And as
    far as I can tell there are no scientific roadblocks, just
    engineering difficulties. They're virtual 2D Nonabelions not real
    ones but as far as making a topological quantum computer is
    concerned that distinction is not very important.
    John K Clark    See what's on my new list at Extropolis
    <https://groups.google.com/g/extropolis>
    naa



        On Wednesday, May 10, 2023 at 1:58:03 PM UTC-5 John Clark wrote:

            As if all the news aboutGPT-4 were not enough, this is an
            article from the journal Nature that that went online
            yesterday:

            Physicists create virtual nonabelions for fault-tolerant
            quantum computers
            
<https://www.nature.com/articles/d41586-023-01574-0?utm_source=Nature+Briefing&utm_campaign=c182f988e0-briefing-dy-20230510&utm_medium=email&utm_term=0_c9dfd39373-c182f988e0-44221073>

            It's about a preprint that just went online; they claim
            "/unambiguous realization of non-Abelian topological
            order and demonstrate control over them/". Technically
            they're virtual Anyons not real ones, but from the
            perspective of an engineer trying to make a Fault
            Tolerant Quantum Computer the difference between real and
            virtual is not important:

            Creation of Non-Abelian Topological Order and Anyons on a
            Trapped-Ion Processor <https://arxiv.org/abs/2305.03766>



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