
Chapter 2
A Simple Quantum System
To obtain a basic understanding of how and why quantum computing works,
one needs to understand quantum theory. In this book we treat quantum
mechanics as an axiomatic theory, with some interpretations where possible.
The implications of quantum mechanics are often counter intuitive, or rather,
beyond intuition, since we have no direct experience of the quantum world as
we do the classical. We assume no prior knowledge of quantum mechanics, and
will develop all the basic tools and ideas necessary for a sound grasp of the
fundamentals of the theory, especially what is relevant for two-state systems
that we’ll use as