The Bloc Sphere - A QM Diagram Tool
The Bloch Sphere is a spherical representation of all possible states that a qubit may inhabit. In fact, it’s such an intuitive way of representing qubits because it is so easy for our brains to visualize them. You may remember in trigonometry, when learning all about the unit circle. Well, the Bloch Sphere is essentially a 3D representation of that concept. You have your X coordinate, your Y coordinate, and then you are just adding the Z axis as your top/down axis. It might be more intuitive to compare it to our planet earth, since it’s a sphere (or is it? Haha). In this concept the Z can represent the north pole, with it being state |0> and the –Z can represent the south pole with state equal to |1>. This is because the total probability of a particular quantum system must be equivalent to 1. These states can also be represented by two-dimensional column vectors. The awesome thing about the Bloch sphere conceptualization is that it allows us to visualize a variety of quantum states and we would use the vectors and their respective angles to be able to measure those states. Pure states are what the points on the surface of the sphere are called, mixed states are the name given to the interior points in the system.
In the quantum realm, the qubit can inhabit a variety of these states simultaneously, in fact this is what gives these qubits their “supernatural” computing ability. However, when these qubits are measured using advanced analytical tools as it turns out, the qubit is really only present in one place. The best way I have found to think about this is thinking about how a video game engine renders visuals in real time. The game will not render the entirety of the game, because that would be a horrible waste of resources on the machine. Instead, it opts to render only what the player expects their character to see. The rest of the scene exists only in a “pseudo” probability, however as you step into these new scenes, the game is then forced to render the scenes. Realistically, I could see how our world works in a similar way to this, but to a much more advanced degree. Afterall, the probabilities in certain situations seem nearly infinite due to other individuals, animals, insects, and all sorts of other natural phenomenon.
Quantum algorithms use this multi-faceted computing ability on a subset of these qubits to solve more complex problems, and also classically impossible to solve mathematics. Although the Bloch sphere is a great way to represent a singular qubit and learning more about QM, it is not the most intuitive way to start visualizing a group of qubits, and quantum circuits as a whole. For that I think it is best to use something like Qiskit to learn and visualize quantum circuits more in depth.
Okay so now think of U bits as an adaptive field that you constantly wear on yourself, then you can go ahead and stop doing the things that you do not want to do. However, some adaptive intelligences can sometimes appear to do it even though they have no desireability and/or likeability to things that get acknowledged into themselves. So overall, I just think Jonathan is not a Mifune, but yeah he may be later after we teach him a proper wizards education.
Alright so if you know how to look at the map there and then thereafter correctly, you are regarding correctly. Also, should I care about anyone, other than a dream like girl that actually wants to have some continuation with me? Really, it’s just that I don’t think a lot of caring is dealtered out in general for the entirety of the universe and we’re kind of done with this rythm. I don’t think this past/future factory can continue for much longer. Overall, Braden coming out with Enrique’s voice out of nowhere and saying yque just doesn’t sit well. I want to be out of here as soon as possible.