Exact solution and projection filters for open quantum systems subject to imperfect measurements

• Published in: IEEE control systems letters Vol. 7; p. 1
• Main Authors: Ramadan, Ibrahim, Amini, Nina H., Mason, Paolo
• Format: Journal Article
• Language: English
• Published: IEEE 01.01.2023
• Subjects: Aerospace electronics; Differential equations; Feedback control; Manifolds; Mathematical models; Mathematical Physics; Mathematics; Open quantum systems; Optimization and Control; Physics; Quantum information geometry; Quantum Physics; Quantum projection filter; Quantum system; Robustness; Stochastic differential equation; Quantum information geometry; Open quantum systems; Stochastic differential equation Quantum projection filter Open quantum systems Quantum information geometry; Quantum projection filter; Stochastic differential equation

In this paper, we consider an open quantum system undergoing imperfect and indirect measurement. For quantum non-demolition (QND) measurement, we show that the system evolves on an appropriately chosen manifold and we express the exact solution of the quantum filter equation in terms of the solution...