The idea of 'Quantum' Technologies is incredibly prevalent in our society today and most technologies just use the word 'Quantum' to add flare and not because they actually use anything relevant in the world of Quantum physics. So what is the 'weirdness' of Quantum physics, and why and how do the laws of classical physics break down at the atomic level?

Well in this article I will be explaining a short summary of Quantum mechanics at the superficial level such that you will be able to discern between which technologies are truly 'Quantum' and which are not, and also to develop a stronger understanding of what we truly mean when we talk about Quantum mechanics.

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1.) Quantum Mechanics Is probabilistic

In Classical mechanics, to classify the path of an object we typically use Newton's force laws or Lagrangian mechanics (with Euler-Lagrange equation), it is a quantifiable solution with exact results (what I mean is that if a ball/particle has a certain speed and direction we can find it's exact path), unfortunately this is NOT the case with Quantum mechanics and depends on the measurement of the system, to explain this I have to discuss the famous Double-Slit Experiment and how the measurement of the system changes the nature of the system itself which is one of the strange things about quantum physics.

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2. Double-Slit Experiment and Observation

So I discussed before that one of the 'postulates' of quantum mechanics is that a measurement on a system actually changes the system itself, this is all to do with the fact that light and observation comes from photons and that it is impossible to measure things at a quantum level (measuring electrons, photons, atoms, etc) without changing the physical nature of the system itself.

Here we set up a hypothetical experiment to show this (and this experiment has been performed many times), we have an electron gun, firing electrons through a double slit onto a screen/backstop, and we use a detector at x (or we can even have multiple detectors lining the entire screen) that will 'click' whenever an electron is detected. This system is shown below:

Now before we make a measurement, say we have a gun that fires bullets instead of the electron gun, as Feynman said the bullets fired from this gun come in 'Lumps', that is to say they are exact amounts, measured in discrete numbers (if I start with 6 bullets, I expect 6 bullets to be fired), now say these bullets can bounce off the walls of the slits and the bullets are hard and wont deform by the slits and the slits won't deform by the bullets;

When we measure the number of bullets at the backstop after watching the bullets fly through the wall, we get a distribution of bullets that looks like (b), where the total probability is the probability of a bullet through hole 1 + probability through hole 2, that is P = P1 + P2.

Okay so now we switch back to the electron gun and see how this compares:

When using the electron gun, we have no way to observe the actual electrons (as they are incredibly small and we have no measurement apparatus initially), and we find that the distribution of electrons on the screen resembles (c). This is pretty weird right? Well this height in (c) is not given by just the 'probability amplitude sum' but rather the square of this, that is to say P12 = |P1 +P2|^2.

So what happens if we measure the electrons?

Well if we measure the electrons using a high intensity light (such that we can actually see the electrons), we observe that the distribution of electrons on the screen resembles (b), and as we decrease the intensity of this detection beam it goes back to (c). This is quite interesting and strange as if we observe the electrons, they behave as particles, but if not they behave as 'waves' where there is inference between the wave fronts causing the intensity distribution in (c).

Okay so that is the double-slit experiment, which tells us that if a measurement is performed, the wave function “collapses” to a new state in which the wave function is localized precisely on the observed distribution (as opposed to being in a superposition of many different possibilities) so what does this 'mean'? Well I'll get to that shortly

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3.) Heisenberg's Uncertainty Principle

Many of you will probably think of "Walter White" From Breaking Bad, but his name comes from incredibly prominent German physicist Werner Heisenberg who made massive contributions to Quantum physics and helped with the development of the Atomic bomb in WWII.

Nevertheless we will be discussing his 'Uncertainty Principle', in which essentially states that the precision to which you can measure the position of a particle is inverse to the precision to which you can measure it's momentum, that is to say that the more precise you get at knowing a particle's position in space, the less precise you can be about it's momentum, which essentially means you cannot expressly give an incredibly precise result for both the position and momentum of a particle as one of them will be wrong, but until we have determined one or another they are in a 'super position of states', that is to say they occupy all of momentum-space until observed, which is pretty weird to think about right? A particle is 'Everywhere until observed to be somewhere'? Well this is analogue to Schrodinger's cat (which I'm sure you have all heard of)

For those of you who don't know the basic premise is that you have a cat in a closed off room with a volatile container of poison to which it is uncertain as to when it 'go off' and kill the cat. With this in mind, because the room is sealed there is no way to actually determine whether or not the cat is 'Dead' until you have seen that it is 'dead' or until you have Observed it. This means that the Cat is in a 'Superposition' of states that is to say that it is BOTH Alive and Dead at the same time, until an observation has been made.

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4.) Entanglement

So I'm sure many of you have read on 'optimistic' news blogs that "Entanglement is the way of teleportation and is the future of quantum.. blah blah...", however you must understand how Entanglement actually works first; Entanglement happens when two particles occupy the same 'quantum state', that is that these particles are characterized by the same 'Eigenstate' which means that one particle cannot be characterized without the other, so what does this mean?

This means that if I have two particles (A & B), and two observers (say Bob and Alice), lets say these particles are at opposite poles of the universe and are entangled, now lets say that A = 1 when B = 0 and B = 1 when A = 0 (This is a simple Eigenstate). Now lets say that Alice observes particle A and finds that A = 1, this means that we can say with certainty that B must be 0 and Bob will observe B as 0 (And visa versa for A =0, B=1). Essentially this means that we can 'force' the state of distant particles into states based on the total system, or that we can 'influence one particle at one end of the universe using a particle at the opposite end' so long as they are entangled.

Entanglement is Incredibly useful for Quantum Computing, however we are still a VERY, VERY, VERY, VERY long way off using it Microscopically (aka for 'Teleporting') and there is massive doubts as to whether teleportation via entanglement will even be possible due to the complicated nature of particle interactions at the macroscopic level. I think it's safe to say we will have a machine that can make a map of your entire body and brain, deconstruct it and reconstruct it at a different location faster than we would have 'Macroscopic Quantum Entanglement Teleportation'.

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Anyway, this is just a small little insight into the Quantum Mechanics, and should be used in order to allow you to understand and determine, superficially what is 'Real' Quantum Tech, and 'Fake' Quantum Tech. Little is still known in terms of Quantum mechanics, and only a few systems have been properly solved (like the harmonic oscillator, constrained particle in a box, free particle), in fact one of physics' biggest unsolved problems is the 'Interpretation of Quantum Mechanics', so hey if you've got some time to spare why not give it a crack?

I hope you guys enjoyed reading, let me know in the comments if you enjoyed this 'lil bit of Science'