The source of noise in your system, and how to reduce it, is really dependent on the quantum computing architecture you're pursuing.
As stated above the most successful quantum computers at the moment are of the superconducting qubit flavor. And as the articles suggest, the way to reduce noise is low temperature and low vibrations, and perhaps chip design(...
I read the article and it seems too rudimentary to provide a manual how to build a quantum computer home. It also contain some "half-truth" about quantum computers, e.g.:
Quantum computers take advantage of strange properties from quantum mechanics to filter through possible solutions much more quickly than conventional computers. When someone asks about ...
The errors that are described by the Master equation are continuous errors. The action of error correction is to discretize those errors.
For example, dephasing noise can be described by the Master equation. The net effect is that an initial state $\rho$ is transformed into
\rho\mapsto (1-p)\rho+pZ\rho Z,
where $p$ is a function of time.