Lie Group Diffusion Models for Hardware-Aware Quantum Circuit Synthesis
An important task in quantum computing is unitary circuit synthesis compatible with physical hardware constraints. This problem has a natural hybrid structure as local single-qubit gates are continuous variables on the Lie group $SU(2)$ while the entangling circuit structure is discrete and hardware-dependent. In this work, we use generative models to perform quantum circuit synthesis incorporating both the natural $SU(2)$ manifold geometry of quantum gates and hardware constraints that determine the overall circuit structure. Our model comprises two components: a circuit skeleton selector that chooses an entangling circuit and a diffusion model that generates quantum gates on the given c...
| Authors | Jyotirmai Singh |
|---|---|
| Primary category | quant-ph |
| Published | 28 June 2026 |
| Last updated at source | 28 June 2026 |
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