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Data Driven solver
Data Driven solver

Quantum-Assisted PINNs for Faster Training and Reduced Costs

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Challenges
  • Machine Learning for solving PDEs is limited by:
    • Generalizability:  Testing for multiple conditions for the same geometry without retraining the entire model)
    • Training efficiency for simulating transient, incompressible, viscous, non-linear flows

Results

  • The data-driven solver addressed complex fluid flow PDEs by enhancing a classical Physics Informed Neural Network (PINN) with quantum layers. 
  • Each QA-PINN (2, 3, and 5-qubit) uses Quantum gate layers with alternating full entanglement, combining quantum and classical hidden layers, with input (x and t) and output (u) layers. 

QA-PINN Outperforms Classical PINN

20%

Trainable parameter reduction

‍

98.04%
Accuracy
Enhances Generalizability
Go Beyond Classical Limits.
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