An Efficient Quantum Circuit for Flow Model Execution Using Quantum Neural Networks

arXiv:2610.11537 · quant-ph, cs.LG · Submitted 2026-10-08 · Read on arXiv

quant-ph, cs.LG

Submitted: 2026-10-08

Updated: 2026-10-08

Terminology

• Loss Function — 38× in this paper · explained in 2 episodes
• Ancilla Qubits — 33× in this paper · explained in 1 episode
• Flow Matching — 24× in this paper · explained in 8 episodes
• Accuracy — 13× in this paper · explained in 1 episode
• Quantum Circuits — 7× in this paper · explained in 2 episodes
• Adam — 4× in this paper · explained in 2 episodes
• Entanglement — 2× in this paper · explained in 3 episodes
• Generative Model — 2× in this paper · explained in 2 episodes
• Generative Models — 2× in this paper · explained in 2 episodes
• Activation Function — 1× in this paper · explained in 1 episode
• Consistency — 1× in this paper · explained in 3 episodes
• Fidelity — 1× in this paper · explained in 2 episodes
• Generalizability — 1× in this paper · explained in 6 episodes
• Generative AI — 1× in this paper · explained in 2 episodes
• Generative Modeling — 1× in this paper · explained in 3 episodes
• Kullback-Leibler (KL) Divergence — 1× in this paper · explained in 3 episodes
• Normalizing Flow — 1× in this paper · explained in 3 episodes
• Normalizing Flows — 1× in this paper · explained in 4 episodes
• Rectified Flow — 1× in this paper · explained in 3 episodes
• Regularization — 1× in this paper · explained in 3 episodes
• Variational Bayes — 1× in this paper · explained in 2 episodes

Sources

• On the Guidance of Flow Matching
• Discrete Flow Matching
• Adam: A Method for Stochastic Optimization
• Some improvements to product formula circuits for Hamiltonian simulation
• Auto-Encoding Variational Bayes
• Flow Matching for Generative Modeling
• Flow Straight and Fast: Learning to Generate and Transfer Data with Rectified Flow
• Flow Matching Guide and Code
• Wavefunction Flows: Efficient Quantum Simulation of Continuous Flow Models
• Quantum Machine Learning in Drug Discovery: Applications in Academia and Pharmaceutical Industries
• Pixel Recurrent Neural Networks
• Quantum Graph Neural Networks
• Spectral Norm Regularization for Improving the Generalizability of Deep Learning
• A review of Quantum Neural Networks: Methods, Models, Dilemma

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