The Geometry of Qubit Decoherence: Linear Versus Nonlinear Dynamics in the Bloch Ball
Abstract
We present two complementary approaches to the Gorini–Kossakowski–Sudarshan–Lindblad equation for an open qubit. First, based on linearity, yields solutions illustrated by mixed-state trajectories in the Bloch ball, including non-random asymptotic fixed points and exceptional points. Second, exploiting the SU(2) symmetry, leads to a nonlinear dynamical system that separates angular dynamics from radial dissipation. This symmetry-based perspective presents a promising route toward generalization to open qudits.
Fields of Study & Subjects
Quantum Mechanics and Applications
Quantum Information and Cryptography
Quantum Computing Algorithms and Architecture
Publication details
- Journal / source
- Physics
- Volume
- 8
- Issue
- 1
- Pages
- 8–8
- Publication date
- 14 January 2026
- Language
- EN