Limits of Quantum Generative Models Explored

This paper investigates the limitations of quantum generative models, particularly focusing on their ability to achieve quantum advantage. It highlights a trade-off: models that exhibit quantum advantage (e.g., those that anticoncentrate) are difficult to train, while models outputting sparse distributions are more trainable but may be susceptible to classical simulation. The work suggests that quantum advantage in generative models must arise from sources other than anticoncentration.