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Paper · arXiv

AI-Assisted Discovery of CNOT Decompositions for Quantum Permutations on Constrained Topologies

Efficient quantum circuit compilation is challenging for quantum computers, where limited qubit connectivity can introduce substantial overhead in the implementation of logical operations. Recent AI-assisted synthesis methods have shown considerable potential for reducing circuit complexity, but their role in uncovering principles that can guide the design of new deterministic compilation algorithms remains largely unexplored. In this work, we investigate this perspective for the synthesis of quantum permutations into CNOT circuits under constrained qubit connectivity. Using AlphaCNOT as an exploratory tool, we identify a recurring decomposition for remote transpositions that improves on ...

AuthorsDaniele Lizzio Bosco, Jacopo Cossio, Simone Faro et al.
Primary categorycs.AI
Published27 October 2026
Last updated at source27 October 2026
cs.AI
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