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Learning quantum properties from short-range correlations using multi-task networks.

Ya-Dong Wu1,2, Yan Zhu3, Yuexuan Wang4,5

  • 1John Hopcroft Center for Computer Science, Shanghai Jiao Tong University, Shanghai, China.

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|October 10, 2024
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Summary
This summary is machine-generated.

This study introduces a neural network model for predicting quantum properties in large quantum systems using local measurements. Multi-task learning enables accurate predictions and information transfer across dimensions.

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Area of Science:

  • Quantum Information Science
  • Condensed Matter Physics
  • Computational Physics

Background:

  • Characterizing large multipartite quantum systems is essential for quantum computing and many-body physics.
  • Predicting global quantum properties from local measurements is challenging due to complex correlations.

Purpose of the Study:

  • To develop a neural network model for predicting quantum properties of many-body quantum states.
  • To leverage multi-task learning for enhanced prediction accuracy and generalization.

Main Methods:

  • A neural network model utilizing multi-task learning.
  • Training the model on measurement data from neighboring sites in quantum systems.
  • Numerical experiments to evaluate prediction capabilities for various quantum properties.

Main Results:

  • The model accurately predicts global properties (e.g., string order parameters) from short-range correlations.
  • Multi-task learning distinguishes quantum phases missed by single-task networks.
  • Successful information transfer from lower to higher dimensional systems and prediction for unseen Hamiltonians.

Conclusions:

  • Neural network models with multi-task learning offer an efficient approach to characterizing complex quantum systems.
  • This method overcomes limitations of traditional approaches by utilizing local correlations effectively.
  • The model demonstrates promising generalization capabilities, including cross-dimensional transfer learning.