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Quantum
Computing - III What Problems are we trying to solve? 21st February 2018 |
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"But the theory was troubled. If
you tried to compute it more accurately, you
would find that the corrections you thought was
going to be small (the next term in the series,
for example) was in fact very large - in fact it
was infinity! So it turned out you
couldn't really compute anything beyond a
certain accuracy." "..But these changes in science are not made
wantonly, but carefully and cautiously by the best minds
and honest hearts, and not by any casual child who
thinks that the world may be changed as easily as
rolling off a log. " |
For a technology to be
qualified as a disruptive technology, it has
to go into the mass production. The
invention of wheels and then their subsequent
use in vehicles can be considered example of a
disruptive technology from the early human
history. In modern world, personal
computers and smart-phones represent examples
of disruptive technologies. So far we do
not have any visibility on Quantum Computing
approaching masses in near future. It is
likely to stay as a high priced computational
device restricted to specialized domains. However the Quantum Computing
is an extremely powerful concept,
which if and when realized has the potential
to transform the technological
landscape. Therefore it is a good
exercise to understand what problems other
than those known in physics and engineering,
exist and need to be solved.
Whether these problems will be solved by
the Quantum Computing or Topological
Computing, we do not know yet. These
problems are independent of any specific
knowledge domain and the path forward is
obscure at best. At a very high level,
we can state the following: "The problem to be solved, is to
know or predict the outcome of the next
instant, with absolute precision in the
measurement space."
An observer who does not know this outcome, will
not know what to do or where to be next.
As a consequence the observer will stay in the
state of measurement. If we recall this
was the premise, based on
which the concept of the discrete measurement
space or j-space was developed. The prediction of the
outcome of the next instant, is an extremely
difficult business.1
It can never be done in its entirety by a
macroscopic observer. However we have
some respite in the sense that when we speak
of a time-instant on the time-axis, we are
effectively within a stable environment
in the measurement metric of a macroscopic
observer, which is based on the
electron-photon interaction, as defined for
the q = 3 space. The information
to be measured can be enormous from a
macroscopic perspective, but it will always be
finite.
Once we have moved into the
q = 3 space, we have finite resources to
complete the objective stated above.2
Therefore the next level of the problem to be
solved within the human context, is the problem of
the resource optimization.3
Thus either Quantum or
Topological Computer must provide the
zero-entropy solution to a given
problem. Please note that a zero-entropy
solution is equal to the single measurement
(loge1 = 0)
solution. The zero-entropy solution
brings us to the requirement of a universal
computer capable of performing the reversible
computing, as identified earlier.
The Quantum Computing in its current state,
can not provide zero-entropy solutions.
That is why the Topological space and the
concepts associated with it, become very
important. And then there is this small matter of finding the question, to which the answer is "42".... ______________
1. To know the outcome of the next instant, is "impossible" business. If we already knew the outcome of the next instant, the measurements would not be needed to begin with. 2. In physics we have an equivalent concept known as "action": the resources available in a conservative system, to travel a path AB; or equivalently the resources available in a conservative system, to measure all the information contained within the path AB. 3. The
knowledge acquired in different specialized domains
such as biology, physics, mathematics, philosophy
etc., is the consequence of the solutions developed
while an observer is trying to optimize resources in
its environment. Please note that an observer
making measurements in j-space can be a biological
cell, a molecule, a planet or a human being.
The objects being measured in j-space can be a
biological cell, a molecule, a planet or a human
being. The equivalent of the "resource
optimization" is finding the lowest energy
state. D-Wave's Quantum Annealer, is based on
finding the lowest energy state for a given
configuration.
***
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Previous Blogs: Chiral Symmetry
Sigma-z and I Spin Matrices Rationale behind Irrational Numbers The Ubiquitous z-Axis Majorana ZFC Axioms Set Theory Nutshell-2014 Knots in j-Space Supercolliders Force Riemann Hypothesis Andromeda Nebula Infinite Fulcrum Cauchy and Gaussian Distributions Discrete Space, b-Field & Lower Mass Bound Incompleteness II The Supersymmetry The Cat in Box The Initial State and Symmetries Incompleteness I Discrete Measurement Space The Frog in Well Visual Complex Analysis The Einstein Theory of Relativity *** |
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