Exponential Selection and Feedback Stabilisation of Invariant Subspaces of Quantum Trajectories

Date(s): Monday 2nd December 2024 (12:00-13:57)
Contact: Event Convenor Contact: gerardo.adesso@nottingham.ac.uk
Description: Speaker's Name: Maël Bompais
Speaker's Affiliation: University of Nottingham
Speaker's Research Theme(s): Mathematical Physics,Quantum information and metrology
Abstract:
Quantum trajectories are random processes describing the state evolution of quantum systems subjected to repeated indirect measurements. In this talk, we examine the behaviour of generic discrete-time quantum trajectories. We demonstrate that, over time, a trajectory tends to concentrate entirely within one of its minimal invariant subspaces, with this selection occurring exponentially fast in expectation. Furthermore, we present a feedback control strategy enabling targeted convergence towards a specific minimal invariant subspace. Throughout, the analysis will rely on Lyapunov-based techniques.

Venue: Physics C12

School of Mathematical Sciences

The University of Nottingham
University Park
Nottingham, NG7 2RD

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