This guide is designed to help you master the intersection of quantum computing, deep learning, and physics-informed modeling to build HQPINNs from the ground up.
🧭 Step-by-Step Learning Path¶
1. 🧮 Mathematical & Physical Foundations¶
Topics:
- Linear Algebra: Matrix operations, Hermitian matrices
- Differential Equations: ODEs, PDEs
- Quantum Mechanics: Superposition, Schrödinger equation
Resources:
- “Mathematical Methods for Physicists” – Arfken & Weber
- “Introduction to Quantum Mechanics” – David J. Griffiths
- MIT OCW: Quantum Physics I
2. 🧠 Deep Learning & Physics-Informed Neural Networks (PINNs)¶
Topics:
- Autograd, loss design
- PDE-informed neural nets
- Boundary/initial conditions in training
Resources:
- Raissi et al., 2019 – “Physics-Informed Neural Networks”
- DeepXDE Library (PINNs framework)
- YouTube: Karniadakis PINNs Lectures
- SciANN Documentation
3. ⚛️ Quantum Computing & Machine Learning¶
Topics:
- Qubits, gates, quantum circuits
- Variational Quantum Circuits (VQCs)
- Differentiating quantum circuits
Resources:
- “Quantum Computation and Quantum Information” – Nielsen & Chuang
- Qiskit Textbook
- PennyLane Tutorials
- Xanadu YouTube
4. 🤖 Learn HQPINNs – The Fusion¶
Topics:
- Combine classical PINNs + quantum subcircuits
- Hybrid optimization: ADAM + SPSA
- Quantum PDE solving
Key Papers:
Implementations:
5. 🧪 Projects for Practice¶
- Schrödinger equation via HQPINNs
- VQE + PINN for ground state prediction
- Solving inverse PDE problems with quantum circuits
- Heat/diffusion simulation with hybrid models
Tech Stack:
- DeepXDE, PyTorch, Qiskit, PennyLane, JAX
6. 🌐 Communities and Programs¶
- Qiskit Global Summer School
- Xanadu Quantum Code Camps
- Discord: Quantum Open Source Foundation (QOSF)
- GitHub: Search for HQPINNs or QPINNs repositories
✅ Final Output Ideas¶
- Host your work on GitHub
- Publish papers on arXiv
- Create a Jupyter Book
- Share models via Hugging Face
Here are some open source projects and resources related to Hybrid Quantum Physics-Informed Neural Networks (PINNs):¶
HybridQuantumPINNs¶
- Repository: rajeshkumarkarra
/HybridQuantumPINNs - Description: A repository dedicated specifically to Hybrid Quantum PINNs.
- Language: Jupyter Notebook
- Homepage: [Project Site]{https://
rajeshkumarkarra .github .io /HybridQuantumPINNs/)
Awesome Quantum Software¶
- Curated list of open source quantum and hybrid quantum-classical projects.
- Awesome Quantum Software on GitHub
List of Open Quantum Projects by QOSF¶
- A broad list including quantum and hybrid quantum-classical software projects.
- QOSF Project List
QUASI¶
- Project and blog describing Quantum PINNs (QPINNs) and hybrid approaches.
- QUASI Project
Top Quantum Computing Projects (LibHunt)¶
- List includes hybrid quantum-classical machine learning frameworks such as PennyLane.
- Quantum Computing Open Source Projects
C. Albornoz, G. Alonso, M. Andrenkov, P. Angara, A. Asadi, A. Ballon, S. Bapat, L. Botelho, I. De Vlugt, O. Di Matteo, P. Downing, P. Finlay, A. Fumagalli, A. Gardhouse, J. Geoffrion, N. Girard, A. Hayes, J. Izaac, R. Janik, T. Kalajdzievski, A. Kanwar Singh, A. Khomchenko, N. Killoran, I. Kurečić, O. Landon-Cardinal, A. Martin, D. Nino, A. Otto, C. Pere, J. Pickering, K. Renaud, J. Soni, D. Wakeham, L. Young. PennyLane Codebook. 2024. https://
pennylane .ai /codebook