Math

Concept Map

Unlike spaces defined over a real field, in Hilbert spaces where quantum states are defined, the vector product (called the outer product) does not make much sense, because the concept of "creating" a vector perpendicular to the two input vectors of the operation is not defined. Still there is a room to define an outer product between vectors.

I believe there is no topic more mistreated in mainstream tech communication than quantum computing.

This part might, at first glance, seem quite boring and involve a series of seemingly meaningless transformations of the problem and to don't get stuck we need to understand the rational behind it.

Warning: this post is only meant to give you a rough idea of Microsoft's claims about its so-called 'revolutionary' architecture. Keep in mind that simplification inevitably leads to mistakes.

In the previous post, we easily derived the solution for small angles of oscillation, but it is easy to observe that for angles greater than 4º, the solution is no longer suitable.

Last time we unveiled the true nature of the pendulum motion and we have seen its deep link with the elliptic integral.

This post might seem rather boring, as it is a topic covered in thousands of pages on the internet. What I have tried to do here is to approach the solution by providing all the steps, even the most trivial ones, in order to offer a self-contained mini-tutorial.

The pendulum is a beautiful example of how complexity can emerge from one of the simplest models. Its motion dynamics reveal fascinating aspects with close ties to the latest quantum computer architecture: the Majorana-1!