Derives the all-order fluctuating hydrodynamics effective action and transport coefficients for the SYK lattice from its microscopic pseudo-Goldstone boson action.
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Measurement-based quantum diffusion models are introduced to recover pure and mixed quantum states via weak measurements, quantum score matching, and Petz recovery maps with error bounds, bridging to classical stochastic reversals.
LPQCs are shown to universally approximate distributions over quantum density operators in 1-Wasserstein distance via a hybrid classical-quantum construction, with added multimodal priors and mixture-of-experts architecture that empirically reduces barren plateaus.
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All-order fluctuating hydrodynamics of the SYK lattice
Derives the all-order fluctuating hydrodynamics effective action and transport coefficients for the SYK lattice from its microscopic pseudo-Goldstone boson action.
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Measurement-Based Quantum Diffusion Models
Measurement-based quantum diffusion models are introduced to recover pure and mixed quantum states via weak measurements, quantum score matching, and Petz recovery maps with error bounds, bridging to classical stochastic reversals.
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Latent-Conditioned Parameterized Quantum Circuits as Universal Approximators for Distributions over Quantum States
LPQCs are shown to universally approximate distributions over quantum density operators in 1-Wasserstein distance via a hybrid classical-quantum construction, with added multimodal priors and mixture-of-experts architecture that empirically reduces barren plateaus.