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On-Device Learning of Optimal Probes via Out-of-Time-Order Correlators in Noise-Adaptive Quantum Metrology
Xinyue Long1,2, Xiaodong Yang1,3, Xiangyu Wang2
1Quantum Science Center of Guangdong-Hong Kong-Macao Greater Bay Area, Shenzhen 518045, China.
Physical Review Letters
|August 10, 2026
Summary
This study introduces a noise-adaptive quantum metrology technique that finds optimal quantum probes without prior noise knowledge. This method achieves enhanced precision, surpassing theoretical limits for quantum sensing applications.
Area of Science:
- Quantum Information Science
- Quantum Sensing
- Metrology
Background:
- Quantum metrology utilizes quantum phenomena like entanglement to exceed classical precision limits.
- Maximally entangled Greenberger-Horne-Zeilinger (GHZ) states are ideal quantum probes but are highly susceptible to environmental noise.
- Noise fragility limits the practical application of GHZ states in quantum metrology.
Purpose of the Study:
- To develop a noise-adaptive quantum metrology scheme for identifying optimal quantum probes autonomously.
- To overcome the limitations imposed by environmental noise on quantum sensing precision.
- To enable practical, noise-resilient quantum metrology on near-term quantum devices.
Main Methods:
- Implemented a variational quantum circuit to optimize available quantum resources.
- Employed an efficient strategy for evaluating the sensing performance of different quantum probes.
- Experimentally realized the scheme using a seven-qubit nuclear spin sensor.
Main Results:
- Identified optimal probe states that outperform standard Greenberger-Horne-Zeilinger (GHZ) states by up to 0.698 dB in precision for magnetic field sensing.
- Demonstrated that the learned probe states possess cross-parameter robustness, maintaining high performance across various magnetic field frequencies.
- Achieved precision improvements over theoretically optimal, but noise-sensitive, GHZ states.
Conclusions:
- The proposed noise-adaptive scheme is model-free, hardware-efficient, and scalable.
- This approach offers a practical pathway for achieving noise-resilient quantum metrology with current quantum devices.
- Autonomous identification of optimal probes enhances the robustness and utility of quantum sensing technologies.
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