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Generation and Coherent Control of Pulsed Quantum Frequency Combs
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Optimal Moment-Based Characterization of a Gaussian State
Niels Tripier-Mondancin1, Ilya Karuseichyk1, Mattia Walschaers1
1Sorbonne Université, Laboratoire Kastler Brossel, CNRS, ENS-Université PSL, Collège de France, 4 place Jussieu, Paris F-75252, France.
Physical Review Letters
|September 26, 2025
Summary
We developed a fast, accurate moment-based estimation method for characterizing Gaussian states, crucial for quantum technologies. This technique improves parameter determination for squeezed vacuum states, outperforming traditional methods.
Area of Science:
- Quantum optics
- Quantum information science
Background:
- Gaussian states are fundamental in quantum technologies.
- Precise characterization of these states is essential for their application.
- Current methods for characterizing squeezed states can be slow and uncertain.
Purpose of the Study:
- To develop a rapid and accurate method for characterizing Gaussian states.
- To determine key parameters like squeezing, antisqueezing, and squeezing angle.
- To improve upon conventional characterization techniques.
Main Methods:
- Application of a multiparameter moment-based estimation method.
- Validation using homodyne detection and double homodyne detection schemes.
- Comparison with existing parameter estimation approaches.
Main Results:
- Achieved faster parameter estimation compared to conventional methods.
- Reduced uncertainty in parameter determination, reaching the Cramér-Rao bound.
- Demonstrated effectiveness for squeezed vacuum states.
Conclusions:
- The moment-based estimation method provides rapid and precise characterization of Gaussian states.
- The framework is suitable for dynamic characterization of time-dependent parameters.
- Potential for real-time feedback stabilization in quantum systems.
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