Expectation-value sampling models based on parameterized quantum circuits are proven universal for continuous multivariate distributions, with tight bounds on minimal qubits and measurements.
Amin, Evgeny Andriyash, Jason Rolfe, Bohdan Kulchytskyy, and Roger Melko
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Parameterized quantum circuits as universal generative models for continuous multivariate distributions
Expectation-value sampling models based on parameterized quantum circuits are proven universal for continuous multivariate distributions, with tight bounds on minimal qubits and measurements.