Pauli Algebra and Rotations on the Bloch sphere
- Cristian Mesiano
- Jun 12
- 3 min read
In this post, we explore a topic already discussed in the previous post: the representation of the density operator on the Bloch sphere. We had observed how the Pauli matrices decompose the density operator; today, we look at something truly crucial in quantum computing: how the density operator evolves under a unitary operator and how this induces nothing but a pure rotation, thus representable on the Bloch sphere. Since the density operator represents the quantum state of the system, this fact shows us (albeit not rigorously) how quantum computing evolves through unitary operators.
