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Attention to quantum complexity
Hyejin Kim1, Yiqing Zhou1, Yichen Xu1
1Department of Physics, Cornell University, Ithaca, NY 14853, USA.
Science Advances
|October 10, 2025
Summary
We developed Quantum Attention Network (QuAN), an AI tool that learns quantum state complexity from noisy data. QuAN helps characterize quantum computing states, even in challenging scenarios beyond current theoretical understanding.
Area of Science:
- Quantum Computing
- Artificial Intelligence
- Quantum Information Science
Background:
- Characterizing quantum state complexity is crucial for error-corrected quantum computing.
- Limited and noisy measurements pose significant challenges for state characterization.
Purpose of the Study:
- Introduce the Quantum Attention Network (QuAN), a novel AI framework for learning quantum complexity.
- Leverage attention mechanisms inspired by large language models for quantum state analysis.
Main Methods:
- QuAN treats measurement snapshots as tokens, respecting permutation invariance.
- Utilizes a parameter-efficient miniset self-attention block to access high-order moments.
- Applies the framework to driven hard-core Bose-Hubbard model, random quantum circuits, and toric code simulations.
Main Results:
- QuAN successfully learns entanglement and state complexity growth from noisy computational basis measurements.
- Accurately predicts complexity growth in random quantum circuits using noisy data.
- Unveils the complete phase diagram for noisy toric code, even in theoretically inaccessible regimes.
Conclusions:
- QuAN demonstrates AI's potential to assist quantum hardware by characterizing complex quantum states.
- The framework provides robust methods for analyzing quantum states from limited, noisy experimental data.
- Highlights the transformative impact of AI in advancing quantum computing research.
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