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Conference Papers Year : 2022

Parameter Estimation for Quantum Trajectories: Convergence Result

Mael Bompais
Nina Amini

Abstract

A quantum trajectory describes the evolution of a quantum system undergoing indirect measurement. In the discrete-time setting, the state of the system is updated by applying Kraus operators according to the measurement results. From an experimental perspective, these Kraus operators can depend on unknown physical parameters p. An interesting and powerful method has been proposed in [1] to estimate a parameter in a finite set; however, complete results of convergence were lacking. This article fills this gap by rigorously showing the consistency of the method, whereas there was only numerical evidence so far. When the parameter belongs to a continuous set, we propose an algorithm to approach its value and show simulation results.

Dates and versions

hal-03741045 , version 1 (31-07-2022)

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Mael Bompais, Nina Amini, Clément Pellegrini. Parameter Estimation for Quantum Trajectories: Convergence Result. 61th IEEE Conference on Decision and Control (CDC), Dec 2022, Cancún, Mexico. ⟨hal-03741045⟩
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