Quantum Scrambling Born Machine

arXiv:2602.17281 · quant-ph, cs.LG · Submitted 2026-02-19 · Read on arXiv

quant-ph, cs.LG

Submitted: 2026-02-19

Updated: 2026-08-26

Comments: AAM

Journal ref: Phys. Rev. A 114, 012464 (2026)

DOI: 10.1103/qccv-flmq

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Entanglement — 30× in this paper · explained in 4 episodes
• Ancilla Qubits — 14× in this paper · explained in 1 episode
• Generative Model — 14× in this paper · explained in 2 episodes
• Generative Models — 13× in this paper · explained in 2 episodes
• Benchmark — 9× in this paper · explained in 2 episodes
• Quantum Circuits — 8× in this paper · explained in 2 episodes
• Hamiltonian Learning — 7× in this paper · explained in 2 episodes
• Adam — 5× in this paper · explained in 2 episodes
• Generative Modeling — 5× in this paper · explained in 3 episodes
• Mode Collapse — 3× in this paper · explained in 2 episodes
• Adversarial Training — 2× in this paper · explained in 1 episode
• Approximate Unitary t-design — 2× in this paper · explained in 1 episode
• Generalization — 2× in this paper · explained in 13 episodes
• Loss Function — 2× in this paper · explained in 2 episodes
• Restricted Boltzmann Machine (RBM) — 2× in this paper · explained in 3 episodes
• Variational Autoencoder (VAE) — 2× in this paper · explained in 3 episodes
• Anticoncentration — 1× in this paper · explained in 1 episode
• Benchmarking — 1× in this paper · explained in 3 episodes
• Diffusion Model — 1× in this paper · explained in 8 episodes
• Diffusion Models — 1× in this paper · explained in 6 episodes
• Entanglement Entropy — 1× in this paper · explained in 2 episodes
• Gibbs State — 1× in this paper · explained in 2 episodes
• Hilbert Space — 1× in this paper · explained in 2 episodes
• KL Regularization — 1× in this paper · explained in 2 episodes
• Quantum Physics — 1× in this paper · explained in 10 episodes
• Regularization — 1× in this paper · explained in 3 episodes
• Representation Learning — 1× in this paper · explained in 2 episodes
• Trace — 1× in this paper · explained in 2 episodes
• Unitary Dynamics — 1× in this paper · explained in 2 episodes

Sources

• Generative Quantum Machine Learning
• Quantum Generative Models for Image Generation: Insights from MNIST and MedMNIST
• A deep implicit-explicit minimizing movement method for option pricing in jump-diffusion models
• A purely Quantum Generative Modeling through Unitary Scrambling and Collapse
• A performance characterization of quantum generative models
• Lecture Notes on Information Scrambling, Quantum Chaos, and Haar-Random States
• Hamiltonian learning via quantum Zeno effect
• Heisenberg-Limited Quantum Hamiltonian Learning via Randomly Spread Product-States
• Bounded-Error Quantum Simulation via Hamiltonian and Lindbladian Learning
• Anti-Concentration for the Unitary Haar Measure and Applications to Random Quantum Circuits
• Random Unitaries in Constant (Quantum) Time
• Auto-Encoding Variational Bayes

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