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Updated: May 25, 2025

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Published on: September 5, 2019
Quantifying Unknown Multiqubit Entanglement Using Machine Learning
Yukun Wang1, Shaoxuan Wang1, Jincheng Xing1
1Beijing Key Laboratory of Petroleum Data Mining, China University of Petroleum, Beijing 102249, China.
This study uses machine learning to precisely quantify multipartite entanglement, a key quantum technology resource. The novel approach avoids complex calculations and extensive measurements for unknown quantum states.
Area of Science:
- Quantum Information Science
- Machine Learning Applications
- Quantum Computing
Background:
- Entanglement is crucial for quantum technologies, but quantifying multipartite entanglement is computationally challenging.
- Existing methods often require complete quantum state information and suffer from high complexity.
- Accurate entanglement quantification is vital for advancing quantum computing and communication.
Purpose of the Study:
- To develop a machine learning-based method for precise quantification of unknown multipartite entanglement.
- To overcome the computational complexity and data requirements of traditional entanglement measures.
- To enable efficient entanglement characterization in large-scale quantum systems.
Main Methods:
- Training neural networks using squared entanglement (SE) and local measurement outcome statistics.
- Utilizing machine learning to model non-linear relationships between measurement data and entanglement.
- Employing locally measured data, avoiding the need for global measurements or quantum state tomography.
Main Results:
- Achieved high-precision quantification of unknown multipartite entanglement states.
- Demonstrated a linear scaling of measurements required, significantly reducing computational load.
- Showcased robustness against noise and applicability to both pure and mixed quantum states.
Conclusions:
- The proposed machine learning approach effectively quantifies multipartite entanglement with high accuracy.
- This method offers a scalable and efficient alternative to traditional entanglement quantification techniques.
- The findings pave the way for practical characterization of entanglement in complex quantum systems.
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