2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/89527The physically allowed quantum evolutions on a single qubit can be described in terms of their geometry. From a simple parameterisation of unital single-qubit channels, the canonical form of all such channels can be given. The related geometry can be used to understand how to approximate positive maps by completely-positive maps, such as in the case of optimal eavesdropping strategies. These quantum channels can be generated by the appropriate network or through dynamical means. The Strømer-Woronowisc result can also be understood in terms of this geometry.10 pages, 8 figures, REVTeX4Quantum PhysicsThe Geometry of Single-Qubit Mapstext