A pure-state quantum generator's fidelity to the target data is bounded by sqrt(lambda_max(rho_data)), so IQGAN and QuGAN reproduce only the principal eigenstate (the class average) and cannot generalize to complex distributions.
Noisy intermediate-scale quantum algorithms
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Whole-Body Bilateral Teleoperation with Multi-Stage Object Parameter Estimation for Wheeled Humanoid Locomanipulation
A pure-state quantum generator's fidelity to the target data is bounded by sqrt(lambda_max(rho_data)), so IQGAN and QuGAN reproduce only the principal eigenstate (the class average) and cannot generalize to complex distributions.