On Thu, Dec 10, 2015 at 11:59 AM, spudboy100 via Everything List <
[email protected]> wrote:

​> ​
> Certain computer scientists have already scoffed at this development as
> not being accurate. I hope it is accurate, because the species needs all
> the help it can get to survive. At best it is a hybrid,
> quantum-conventional computer. The road to any kind of good singularity
> seems to be very long, and I ponder if there is some unappreciated
> development in computer engineering and materials science that could
> catapult us where we need to go, instead of the quantum?
>

​There could be a software breakthrough. Most mathematicians think that P
is not equal to NP but it has never been proven, if they're wrong and they
are equal then you wouldn't need a quantum computer, a regular computer
could do just as well, it just needs the right algorithm. P means a problem
that can be solved in polynomial time, that is as a problem of size X gets
larger the time needed to solve it increases proportionally to X^n where n
is a constant and not as n^X which would be much more difficult. NP stands
for "nondeterministic polynomial time" it is a class of problems that are
hard to solve but if I gave you the answer it would be easy for you to
check and see if my answer was correct. For example it's hard to factor
large numbers but if I gave you the factors it would be easy for you to
multiply the number together and see if I was correct; but if P=NP then
then the two are equally easy to solve we just haven't found the right
algorithm yet, but as I say P is probably not the same as NP.

 Some problems are of a class that is even more difficult to solve, for
example finding the shortest route connecting the 48 capital cities of the
lower 48 states of the USA;  even if I gave you the answer it would be very
difficult for you to know if I was correct or not and prove there wasn't a
shorter route. Even a Quantum Computer couldn't help you with these sorts
of problems,  it's much harder than protein folding, even nature can't
solve them so they are of little interest to physicists.

As for hardware advances,  Ray Kurzweil estimates that the human brain has
about 10^13 bits of memory and can perform about 10^16 calculations per
second, and with nanotechnology by 2045 even without quantum computers you
could purchase enough hardware to simulate one billion human brains for
about $1000. And that's why he calls it a singularity.

  John K Clark

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