Nonstabilizerness of the entangling layer in quantum circuit Born machines

arXiv:2609.32025 · quant-ph · Submitted 2026-09-25 · Read on arXiv

quant-ph

Submitted: 2026-09-25

Updated: 2026-09-25

Terminology

• Entanglement — 12× in this paper · explained in 3 episodes
• Quantum Circuits — 7× in this paper · explained in 2 episodes
• Generative Model — 3× in this paper · explained in 2 episodes
• Generative Models — 3× in this paper · explained in 2 episodes
• Adam — 2× in this paper · explained in 2 episodes
• Generative Modeling — 2× in this paper · explained in 3 episodes
• Stabilizer States — 2× in this paper · explained in 2 episodes
• Benchmarking — 1× in this paper · explained in 3 episodes
• Core — 1× in this paper · explained in 2 episodes
• Distillation — 1× in this paper · explained in 2 episodes
• Generalization — 1× in this paper · explained in 13 episodes
• Generative AI — 1× in this paper · explained in 2 episodes
• Loss Function — 1× in this paper · explained in 2 episodes
• Sparsity — 1× in this paper · explained in 4 episodes
• Topological Order — 1× in this paper · explained in 2 episodes

Sources

• Generative modeling with Gaussian Boson Sampling: classically trainable Bosonic Born Machines
• Generalization Metrics for Practical Quantum Advantage in Generative Models
• Entanglement-magic separation in hybrid quantum circuits
• Pauli Spectrum and Non-stabilizerness of Typical Quantum Many-Body States
• Phase transition in magic with random quantum circuits
• Quantum resources of quantum and classical variational methods
• Magic-Informed Quantum Architecture Search
• Generative AI Beyond Tokens: Quantum Resource Consumption of IQP Circuits
• How to generate random matrices from the classical compact groups
• The non-stabilizerness of fermionic Gaussian states
• From classical to quantum dynamics at Rokhsar-Kivelson points
• Topological Order and Conformal Quantum Critical Points
• From quantum mechanics to classical statistical physics: generalized Rokhsar-Kivelson Hamiltonians and the "Stochastic Matrix Form" decomposition
• Magic in generalized Rokhsar-Kivelson wavefunctions
• Gravitational back-reaction is magical
• Magic without a phase: phase-independent stabilizer R'enyi entropy in gluon scattering

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