**How to Build a home made quantum computer**

For this project we will focus on building a super conducting quantum computer. In order to build a quantum computer at home, we must first understand how each component works and how to fabricate them, as well as the underlying mathematics, lithography, physics and chemistry. We will learn about qbits, quantum gates, quantum processors and building classical computer hardware and software designed to help us communicate with our quantum computer. The fabrication itself will cover topics such as forging metals, forging processors, machining and welding all necessary components. We must also fabricate a delusion refrigerator to cool and isolate our computer as well. In this article we will start by focusing on some basic concepts and mathematics associated with superconducting quits.

# Superconducting Q-bits

# Quantum harmonic oscillator

The **quantum harmonic oscillator** is the quantum-mechanical analog of the classical harmonic oscillator. Because an arbitrary smooth potential can usually be approximated as a harmonic potential at the vicinity of a stable equilibrium point. Basically the particle oscillates between a specific set positions that are symmetrical to each other based off of a middle point that exists between the high and low values of the wavelength of the particle. Like a ball on a spring moving from point A to point C with point B being the middle position.

As you can see in the picture below. Electrons oscillate at different frequencies. An important detail to notice is that the frequencies only oscillate at positions n0, n1, n2 and not anywhere in-between. This is why electrons oscillate at different orbits based off of its energy level. As the electron gains or loses energy it moves up or down the energy well. Electrons like other particles exist in a state of super position and we can take advantage of this quantum phenomenon too compute information.

# Bringing it all together

Now that we have a basic understanding of quantum harmonic oscillation and super conducting Q-bits we can now understand how a superconducting Q-bit works. The oscillator once super conducted only oscillate at specific frequencies as seen in the energy well. By focusing on specific frequencies we can systematically observe our Q-bit and see if it is a flux of position 0 “aka its base state” or 1 its next and more exited state. In the next article we will dive into the engineering , mathematics, and styles of superconducting Q-bits.