On the Observability of Quantum Dynamical Systems Conference Paper uri icon


  • Abstract Quantum statistical mechanics offers an increasingly relevant theory for a wide variety of probabilistic systems including thermodynamics, particle dynamics, and robotics. Quantum dynamical systems can be described by linear time invariant systems and so there is a need to build out traditional control theory for quantum statistical mechanics. The probability information in a quantum dynamical system evolves according to the quantum master equation, whose state is a matrix instead of a column vector. Accordingly, the traditional notion of a full rank observability matrix does not apply. In this work, we develop a proof of observability for quantum dynamical systems including a rank test and algorithmic considerations. A qubit example is provided for situations where the dynamical system is both observable and unobservable.

name of conference

  • Volume 5: Dynamics, Vibration, and Control

published proceedings

  • Volume 5: Dynamics, Vibration, and Control

author list (cited authors)

  • Griffith, T. D., Gehlot, V. P., & Balas, M. J.

citation count

  • 0

complete list of authors

  • Griffith, Tristan D||Gehlot, Vinod P||Balas, Mark J

publication date

  • October 2022