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Quantum metrology with a continuous-variable system
Matteo Fadel1, Noah Roux1, Manuel Gessner2
1Department of Physics, ETH Zürich 8093 Zürich, Switzerland.
Quantum metrology enhances measurement precision using quantum information. This study explores precision limits and optimal strategies for continuous-variable quantum sensing, focusing on displacement and rotation estimation.
Area of Science:
- Quantum physics
- Quantum information science
- Metrology and sensing
Background:
- Quantum metrology leverages quantum information to surpass classical measurement precision limits.
- Key strategies involve preparing nonclassical quantum states and designing optimal measurement observables.
- Continuous-variable quantum systems offer a promising platform for advanced sensing applications.
Purpose of the Study:
- To investigate precision limits and optimal strategies in quantum metrology and sensing using single modes of quantum continuous variables.
- To analyze the estimation of displacements and rotations, crucial parameters in various quantum technologies.
- To compare fundamental precision limits with practical estimation strategies.
Main Methods:
- Analysis of precision limits using quantum Fisher information.
- Evaluation of sensitivities for Gaussian states and superpositions of Fock or coherent states.
- Comparison of quantum-limited precision with moment-based estimation using various measurement observables (homodyne, photon number, parity).
Main Results:
- Quantification of precision limits for estimating displacements and rotations in continuous-variable systems.
- Assessment of the performance of different quantum states (Gaussian, Fock, coherent state superpositions) in sensing.
- Comparison between theoretical quantum precision limits and practical estimation strategies, highlighting the impact of measurement choices.
Conclusions:
- Optimal strategies and fundamental precision limits in continuous-variable quantum metrology are identified.
- The study provides insights into the practical feasibility of achieving high-precision measurements using current and emerging quantum platforms.
- Results are relevant for diverse experimental systems, including quantum light, trapped ions, and mechanical oscillators.
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