Fourier-Geometric Circuit Design for Gate and Entanglement Placement in Quantum Neural Networks

arXiv:2609.35489 · quant-ph · Submitted 2026-09-28 · Read on arXiv

quant-ph

Submitted: 2026-09-28

Updated: 2026-09-28

Terminology

• Entanglement — 19× in this paper · explained in 3 episodes
• Quantum Circuits — 9× in this paper · explained in 2 episodes
• Ablation — 8× in this paper · explained in 1 episode
• Adam — 5× in this paper · explained in 2 episodes
• Quantum Physics — 5× in this paper · explained in 10 episodes
• Generalization — 4× in this paper · explained in 13 episodes
• Accuracy — 2× in this paper · explained in 1 episode
• Benchmark — 2× in this paper · explained in 2 episodes
• Trace — 2× in this paper · explained in 2 episodes
• Adaptation — 1× in this paper · explained in 1 episode
• All-to-All Connectivity — 1× in this paper · explained in 1 episode
• Core — 1× in this paper · explained in 2 episodes
• Hardware Efficient Ansatz — 1× in this paper
• Inverse Problem — 1× in this paper · explained in 2 episodes
• Loss Function — 1× in this paper · explained in 2 episodes
• PDE residual — 1× in this paper · explained in 2 episodes
• Quantum Trajectories — 1× in this paper · explained in 2 episodes
• Robustness — 1× in this paper · explained in 5 episodes

Sources

• PennyLane: Automatic differentiation of hybrid quantum-classical computations
• Circuit Harmonic Matrices: A Spectral Framework for Quantum Machine Learning
• QCPINN: Quantum-Classical Physics-Informed Neural Networks for Solving PDEs
• Fourier Fingerprints of Ansatzes in Quantum Machine Learning

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