Quantum Generative Diffusion Model: A Fully Quantum-Mechanical Model for Generating Quantum State Ensemble

Understand

Mixed quantum states are the native description of many physically important quantum systems, making their generation a fundamental task in quantum information processing.

• However, constructing a diffusion process that generates density operators while keeping every reverse step physically valid remains nontrivial.
• This work introduces Quantum Generative Diffusion Model (QGDM), a fully quantum-mechanical model whose forward and backward processes are grounded in quantum channel theory.
• Through a non-unitary forward process, any target quantum state can be transformed into a completely mixed state.