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Lie Group Diffusion Models for Hardware-Aware Quantum Circuit Synthesis

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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.

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arXiv Machine Learning
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arXiv:2510. 12430v2 Announce Type: replace-cross Abstract: Translating a general quantum circuit on a specific hardware topology with a reduced set of available gates, also known as transpilation, comes with a substantial increase in the length of the equivalent circuit.

By Bodo Rosenhahn, Tobias J. Osborne, Christoph Hirche
arXiv Machine Learning
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Bridge of $\Psi$'s: Quantum Circuit Optimization with Schr\"odinger Bridges

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