Asymptotic stability and ergodic properties of quantum trajectories under imperfect measurement
Abstract
We investigate the asymptotic stability and ergodic properties of quantum trajectories under imperfect measurement, extending previous results established for the ideal case of perfect measurement. We establish a necessary and sufficient condition ensuring the convergence of the estimated trajectory, initialized from an estimated state, to the true trajectory. This result is obtained assuming that the associated quantum channel is irreducible. Building on this, we prove the uniqueness of the invariant measure and demonstrate convergence toward this measure.
Fields of Study & Subjects
Quantum Information and Cryptography
Quantum Mechanics and Applications
stochastic dynamics and bifurcation
Publication details
- Journal / source
- Journal of Mathematical Physics
- Volume
- 67
- Issue
- 8
- Publication date
- 1 August 2026
- Language
- EN