All I know about it is that it's based on the fact that we are not dealing with
macro dimensions but micro dimensions where the laws of physics are completely
different. The analogy is where you have a nano sized robot. Say a hexagon with
two bridges on the top faces of the hex sticking out as normals, that can
rotate by 180 degrees or half pi. When such a nanobot navigates the world of
atoms, its not flying or gliding through air, it's effectively climbing through
it, considering the movement of these masses of oxygen atoms for air and other
materials for other conditions. Now take this the other way around before we
bounce back to the micro dimension. Imagine that in order to find the little
peak on the graph reading waves coming from the sky, the scientists who were
able to record the gravitational displacement from 70 billion light years away,
had to only rely on 6 decimals after the number pi. If you look at the relation
between pi, phi the euler number and what is called the coudée, the entire
universe is based on all this. If you now zoom back to the micro universe,
there has not been a way to record a particle's velocity and orientation
simultaneously. This makes us understand that there exist up to now 28
dimensions in which a particle can navigate.
Quantum computing is based on this paradigm with 4 states instead of 2. The
main difference with binary is that say you have 8 bits, using traditional
computing it's 00 01 10 11. You need 4 steps using flip flop chips to observe
this process. Even if this happens at 3.2*10^-10 seconds, quantum computing can
do it in 1 state. So now imagine 128 bits. All permutations of the 128 bits can
be computed simultaneously whereas with traditional binary computing, it will
take 2^128 states or more stars than the universe has. This is why quantum
cryptography will be the demise of government spying over people once the
technique is democratised. However, there are laws now being put in place where
university academics who might divulge quantum cryptographical techniques risk
incurring 500k dollars of fines and hefty jail time.
The main thing with quantum computing is just imagining a circle with
orthogonal 0 and 1. They are infinitely probable to go in any of the infinite
directions of that circle. Hence the use of cumplex numbers into matrices. Say
you have x and y, considering you can have a state where x and y are both
equally probable, how do you make sure you are certain it is an x and not a y?
You add a 4th state which says that x is x only if y is 1 or 0. Then the
interaction between x = 1 y = 1 x = 0 y = 0 x and y = 0 x = 0 if y = 1 y = 0 if
x = 0 will take place between 2 qbits. Increase this to 128 qbits, and the
complexity becomes very out of this world, however we are able to compute the
instant states of 100 qbits at this moment. Give us 500 qbits and we can
compute unimaginable quantities of data in one step. In asymptotic language,
the complexity for a np complete problem will be constant or 1 instead of n^580
or at the bleeding edge of algorithms, cubic, which is still gigantic when you
have to compute 1 million states in a graph isomorphism.
Exciting times indeed. I Believe you can understand all this math. You just
need to take that time to wood shed, just like playing the guitar I must repeat
it.
On 3/04/2016, at 12:59 AM, Rick Thomas <ofbgmail@xxxxxxxxx> wrote:
Yes, quantum physics is fastenating indeed and applied to computing is well
beyond bleeding edge.
We only have illusion that we are solid beings living in relative stability
on a fixed surface of some sort in a 3 dimensional existance.
We may indeed only be various states of potential exhibited in some
noncomprehensible multidimensional reality of which we only know of the
space-time we can preceive or imagine in terms of energy, probable energies,
quantum tunneling and the illusion of time – it is amazing and brilliant.
I envy your math understanding, something I will never achieve me thinks.
Rick USA
Attachment:
signature.asc
Description: Message signed with OpenPGP using GPGMail
