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Quantum Diffusion Models
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We propose a quantum version of a generative diffusion model. In this algorithm, artificial neural networks are replaced with parameterized quantum circuits, in order to directly generate quantum states. We present both a full quantum and a latent quantum version of the algorithm; we also present a conditioned version of these models. The models' performances have been evaluated using quantitative metrics complemented by qualitative assessments. An implementation of a simplified version of the algorithm has been executed on real NISQ quantum hardware.
Forward citations
Cited by 4 Pith papers
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SQGen: Structured Quantum Image Generation with Latent-Modulated Quantized Tensor Trains
SQGen maps a quantized tensor-train image model with latent-modulated re-uploading rotations onto a shallow native quantum circuit that generates images without a classical decoder.
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Quantum Reversibility Meets Classical Reverse Diffusion
The semiclassical limit of the Petz-reversed Lindblad equation reproduces the Bayes-rule reverse-time diffusion equation, with the reference state's Wigner function playing the role of the classical score distribution.
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Mixed-State Quantum Denoising Diffusion Probabilistic Model
MSQuDDPM generates quantum state ensembles by diffusing depolarizing noise and learning to denoise with parameterized circuits, reaching 4-qubit test cases without scrambling unitaries.
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Enhancing Quantum Diffusion Models with Pairwise Bell State Entanglement
A pairwise Bell-state entanglement trick reduces the trainable parameter count in a quantum diffusion model, but the reported image quality scores are too low to support the claimed advances.
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