2020/06/18 by Krzysztof Kowalski · 1 citation
Physics and Astronomy · #quant-ph
published as Quantum Information Processing (2020) 19:145 · This is very close to the published open access version
arxiv created 2020/06/18 · arxiv updated 2020/06/19
The nonlinear generalization of the von Neumann equation preserving convexity of the state space is studied in the nontrivial case of the qutrit. This equation can be cast into the integrable classical Riccati system of nonlinear ordinary differential equations. The solutions of such system are investigated in both the linear case corresponding to the standard von Neumann equation and the nonlinear one referring to the generalization of this equation. The analyzed dynamics of the qutrit is rich and includes quasiperiodic motion, multiple equilibria and limit cycles.