Hi, my name is ivan, student, innovator, maybe a dreamer, science coming from newton is a shiny pearl on the ocean of knowledge for those who begin into development. Now let me show you something recently created on product processing.

Most people suggest college is just a step on your process of job. Guess now a reality: most people study to work. I study to work, i work on i+D, studying for finding those great seashells called science's tools.

On the study of my own, i've written about excecution time: the time you need in terms of add and multiply to get the result. On computing thats the basis of execution time. About that topic ive written 10 times on the defining of execution time zoo: exponential,linear,logarithmic time.

Today we will look at quantum doors:

Quantum bits are units of electrons which the output could be 0 or 1. The new spot relies on the actual state before the query is not set. for example a qubit will be called |q> which the output can be Yes/No. On traditional computers we also have the operator add. on quantum logic we have the analogue |+. Using the heissenberg formula we can deduce both (qubit and operator) are different measurements.

An heuristic way to study quantum logic:

First of all, lets consider our space: |q[3]>, we are deducing our space has 3 qubits. now |+> is the action of adding qubits. unfortunately there's not a wide content about how to add qubits so in this case we will introduce the notation |A+B> to specify the function of adding qubits. in this guide the concept of adding relies on taking two qubits and assinging the result to a new qubit. however a qubit has no information on it, so. what are we adding? remember the qubit is the orientation of the field: north to south, or the opposite case. so the addition is defined as combining two poles and assigning into the output. in classical computing, the operator add is created using transistors Nand. Nor. in this case, we need to assing two orientations |q1,q2> into one single orientation. A simple way is to assign 0 and 0 into 0 1 and 1 into 0. using complex numbers we have i*i=-1 so we can define the operator qand as north qand north = north, south qand south= north. south qand north = south. remember theres more ways to define operators between quantum states. this is one, in order of following complex numbers logic.

now thanks to this definition we can say what is exactly the operation add on quantum logic. if we have three qubits the addition |A+B> takes the first pair of qubits into a new state which depends on the initial qubits and translates the output into a new qubit. remember quantum states cannot be set, only interacts with the particle. so the output should be set on a third qubit, fun fact: the order of adding is important. we know A+B is equal to B+A on classical states. now on quantum states we need to fix the order to manage the output. First, lets set we have the qubit A, then we have to change the output adding B, once we interact with A the state of A should be somewhere else. in order of that when we do A+B, we also have B+A on B. then we need A+B on a particle called C. the step of getting into C makes the effect of transmitting the state of C on the other particle. So we have A+B into C. and in counterpart, we have C on A. a diagram looks like this:

$$\begin{align} &A−(A+B)⊤\newline &B−− ⊥ \quad \enspace \thinspace \vert \newline &C−−−−(A+B)\ \end{align}$$

For now, you can check we can add quantum particles changing the orientation of the electron without defining which one it has. this is the fuzzy part of quantum logic, we change properties of the particle with no idea what is changing. sound complex don't you?. well the trick is simple. it has several information like charge, position, velocity. but as we can't define its value we close it on a range of possibilities, that boundary is our object. and the output is the decision of the particle on one of these states. So add qubits is the operation of changing one value of the particle? there is when classical information goes into a problem. What are we operating? Data is not an answer. the frequency is the same for all particles. so what are we changing? as we know the answer of most prominent and experising people will be: i have no idea. Reasoning on quantum mechanics relies on theres no a logical way to explain it, so we use tools like equivalence to introduce ourself on it. Its not the same but we need to figure out with the secrets of the cosmos. in this case we operate two states |0> |1>, we don't know which state it is but our object is like a bag which contains these elements. so if we change the bag , ¿what do we have? another bag with the opposite orientation. you see why classical logic starts to breaks down. Boolean algebra says when we change the state from 0 to 1 the element on our board have changed. but now when we change the orientation from north-south to south-north, the bag is the same. we know something changed. now here is when quantum logic comes up. around 50% of tries the particle will throw 0. after adding, the probability changes into 25% or 75%, one particle has 25% of throw 0, and the other one has 25% of throw 0. the question is, will it be for 0 or 1 that 25%?. as quantum mechanics has no defining states. it will choose one of them. now, as A+B=B+A the other particle will also have 25% of choosing 0. but is it on 0 or 1? the answer again is. i will choose one of them but never decides for one of them. only picks one.

The question about if there's a correlation between doing A+B affect on B+A is like say. will it be linearly correlated or inverse-correlated? the answer again is, it just picks one. is Entanglement a quantum operation? on the case we measure particle A, we have no idea what will be on particle B. In Bohr's experiments, the probabilities are added and separated on two smaller distributions. but the question about the output on the other side of the galaxy. its like say " we know it's 0 on the other side of the galaxy". a good tip about this, shortly is that all the basis of classical information goes down. so there's no way to prove it will be 0 out there using classical logic. we use experiments on quantum teleporting to give evidence about what happens galaxies away. someday we will have evidence to send quantum data long enough, ask for a taxi, and, the taxi will come close!. About the output of B, the problem is the state of B should be somewhere, once we add A the state of B is changed and also the state of A. the real problem with Entanglement is the fact we know the result of the orientation. both had an orientation, but after cooling the electrons their states are forced to be coerced. that's a big error in quantum interpretations. instead of conservating the states, you are forcing them to override their initial states. According to quantum mechanics, the state cannot be changed only replaced. In this sense, quantum computing is not about reaching a lot of qubits. surprisingly is about explaining the results. now u know why bohr wons the noble prize. Good night!