Quantum mechanics

Some definitions of quantum mechanics explained:

Ahead of the various quantum technologies now and in the future, I think it's important for all of us to be able to take the same stance on the quantum effects behind them and really have a thorough one. I think by now everyone should be aware of the list of all these counter effects because they really stand out in many of the technologies we already use so here are the four quantum effects for the layman, the first one probably everyone already knows Well, because it pretty much defines quantum mechanics, and the first time you're talking about it, it's the discreteness of quantum states or the discreteness of quantum state energies, which basically just says that you can choose a quantum state that doesn't occupy an arbitrary amount of energy. You can only have a set of states occupying some quantized or discrete quantum of energy the word even comes from a simple system.

The structure of quantum mechanics:

We can demonstrate this with a particle called a box Here are some boxes Here are some Here's a position X We can represent the state of the system as if it were Professor Moriarty and his monkey dangling by the wall Springs are very similar, if you imagine you know a spring you can steer it has to be in a standing wave with no nodes, you can make it in a way that has one node, you can make it in a way that has two nodes way and so on.

Its energy is a one two and four quantum system, the key is that the energy here is indeed quantized, why do you have energy levels one, two and four, there is no three, a particle in a box, its energy is um, energy Proportional to the square of the number energy is proportional to N squared, where n is the number now, when we see this, do we see this in the real world, you need to see that you need to a large extent a small And colder systems, to start seeing or resolving these different energies as they come, you know, sometimes quantified in very small units, so that might be really weird in the eyes.

Because in our world, we're on such a coarse-grained scale, we've got so much energy around us, uh you know we don't really see any of this tiny microscopic quantization, but it's there and it's very precise, i.e. we use quantization of this energy to determine many of our fundamental constants and we've been doing this for a while now so we're basically sure that all of these are there if you know where to look for the quantization system uh You know, going forward, you want to have some system that writes these states and represents their quanta, what we do is we put them in a cat, so this is called a cat, in the picture we put Inside the cat or some symbol or number to indicate which state we're talking about here, so we're talking about the uncommented state here, so I'll just draw a picture of the uncommented state, and here's a cutout of that state , and then another cat you know these are things inside these cats, it can be anything you want to represent a quantum system, it can be a living or dead cat.

You know the famous example, it can be some real number and so on, it can be a binary string of strings of 0s and 1s that represent the states of the qubits of a quantum computer, even if the set of states occupies discrete specific energies that are expressed in some spaced out by a very precise energy difference, but still there can be an infinite number of them as you can see here, you know it's not node one node two node three node etc so a quantum system can be in any high energy state but you know As you crank up the energy you get you lose a lot of control and so for most technologies we're really just using a few lower energy states the simplest case is just two states hence the name "toggle" The second principle is the principle of superposition and collapse, this is probably the weirdest one to me though it's also something you see in wave mechanics, for example, throwing pebbles in a pond, you have some fixation in the pond type of wave, if you drop multiple pebbles, you can these waves will disturb or superimpose the states of other similar quantum systems per pebble, I have said that there are no nodes in this node state that can quantum superpose each other, now in the pond How is the superposition of waves of one pebble on another pebble different from this quantum superposition of two things in one Well, there's a source of intrinsic randomness here, so we don't really know which state the system is in.