Multi-Dimensional Quantum Bits

Quantum Computation in my perception?

I have a few questions around the usage of the spins for representing the encoded information. I understand that, by keeping the dimensionality to 2 (up or down spin) we are inclined toward the happy path of connecting with the binary encoded computational system in place on this planet at the moment, so that we wouldn’t have to worry about the new layer of decoding the information stored in the sub-atomic particle’s phase (in terms of probability density functions) with respect to time and space. But, the ideation I went through is that, we are in fact limiting our own capabilities by not leveraging the fact that a sub-atomic particle’s phase is almost spherical (analogous to a sphere at the least) by which I mean to convey that, the inference of a particle’s presence does have a probability of existing in more than just 2 probability density distributions (up/down spins) and is all around the nucleus of an atom (if we considered an ionic element to represent the Qubits) and hence can be probably present in a realm of 360 degrees around the nuclear mass that attracts and holds the sub-atomic particles in their vicinity until energized to leave.

Imagine a spherical ball (of course, the density distribution is not an exact sphere and is only analogously used), with the atomic nucleus in the center and the sub-atomic particles around in an, external intervention free, controlled space (vacuum: which I doubt till date of its existence and characteristics. Do we really know what’s beyond the spectrum of electromagnetic radiations at all? How can we assume that, since our sensors don’t sense any radiations that we have designed them to react to, or interact with and hence give us the readings we imagine to be true? Our sensors are as constrained as our humanly sense organs, tbh. Well, that’s a whole new dimension to explore or accept as something that is outside of our reach atm. But, considering its existence opens up a whole new paradigm of possibilities. More than often in life we learn more when we accept that we don’t know something and are open to learn and comprehend by giving it a chance of possibility).

Well, getting back to the actual topic in here, according to Heisenberg’s uncertainty principle, the probability of finding the particle in a certain region of the sphere depends on various factors (both internal to the atom and external). But, provided we cancel out the external factors by creating a controlled environment, every point in the atomic orbitals would give us a phase of the particle when read and can be used to represent information in real world, by simply using the energy/energy density at that point. But, since we already know that the measurement would induce an effect on the state of the particle, we can consider that as a part of our equation to compute the original energy that existed in the point of measurement, minus the energy invested in reading the state (theory of superposition could come handy to extract the individual components of the resultant energy level, as we know that, the energy invested to read the state and also; the law of conservation of energy advocates the fact that energy can neither be created nor destroyed but can be transformed from one form to the other and hence can we reliably deduce the particle’s energy level (assuming that the universe has not acted outside of the ways we know to affect the state of the particle except for the energy we have exerted to read the state))

That way, we could have no limits to the number of states a sub-atomic particle could hold for us. The double laser theory, or the Emergent Dynamical Symmetry-Protected Topological phase, or EDSPT phase can help us stabilize the environment the same way we do for the 2-spin reliant information storage and retrieval that could accelerate computing to a speed where we could almost forget about the term “speed” and hence “time” as speed is a factor of time. I would like to know your thoughts or would be glad to connect with the minds that are curious as mine and please do correct me if I have gotten anything wrong in my mind or am missing something, be it the most trivial aspect. Constructive discussion is the goal of this message being typed in here 🙂

Published by Abhay Nagaraj B R

I think in terms of problem-solving. I like picking up problems from real life and applying data science solutions to them. For instance, when I saw my mom cut a bunch of okras, I noticed how she cuts them one at a time of which the final output was the same. And, I thought, when it’s the same cut (single instruction, SI) on every Okra, then why not cut a bunch (multiple data, MD) of them at once? There we go! SIMD in real life! Which is exactly what GPUs do. This is one of the illustrations of how I look at a problem and work towards resolving it. And, I strongly believe that I can use this mindset of mine, in combination with a good insight into the problem at hand, will be able to develop efficient solutions.

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