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Asymptotic inference in system identification for the atom maser
Catalin Catana1, Merlijn van Horssen, Madalin Guta
1School of Mathematical Sciences, University of Nottingham, University Park, UK.
Summary
This study introduces a new method for quantum system identification using continuous measurements, moving beyond traditional process tomography. It applies asymptotic statistics to estimate the Rabi frequency in an atom maser, enhancing quantum control strategies.
Area of Science:
- Quantum Engineering
- Quantum Control Theory
- Statistical Inference
Background:
- System identification is crucial for quantum engineering and control.
- Traditional quantum system identification relies on process tomography with discrete probes.
- Continuous measurement-based identification is more suitable for quantum dynamical systems like Markov processes.
Purpose of the Study:
- To develop and apply statistical methods for system identification using continuous measurements in quantum systems.
- To estimate the Rabi frequency of an atom maser as a specific application.
- To analyze the statistical properties and efficiency of different quantum measurement processes.
Main Methods:
- Utilized asymptotic statistics tools for analyzing continuous measurement data.
- Computed Fisher information and quantum Fisher information for the atom maser model.
- Established local asymptotic normality for the statistical models derived from continuous measurements.
Main Results:
- Demonstrated the applicability of continuous measurement-based system identification for quantum dynamical systems.
- Quantified the statistical information content of various measurement strategies for the atom maser.
- Linked statistical notions to spectral properties of deformed Markov generators, suggesting connections to large deviation theory.
Conclusions:
- Continuous measurement offers a powerful alternative to process tomography for quantum system identification.
- The developed statistical framework provides a rigorous method for analyzing quantum dynamical systems.
- Findings contribute to advancing quantum control and engineering through improved system characterization.
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