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Rydberg Quantum Wires for Maximum Independent Set Problems with Nonplanar and High-Degree Graphs

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arxiv 2109.03517 v1 pith:W6WEFRDB submitted 2021-09-08 quant-ph physics.atom-ph

classification quant-phphysics.atom-ph
keywords quantumarraysatomsgraphsproblemsrydbergcombinatorialengineer
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One prominent application of near-term quantum computing devices is to solve combinatorial optimization such as non-deterministic polynomial-time hard (NP-hard) problems. Here we present experiments with Rydberg atoms to solve one of the NP-hard problems, the maximum independent set (MIS) of graphs. We introduce the Rydberg quantum wire scheme with auxiliary atoms to engineer long-ranged networks of qubit atoms. Three-dimensional (3D) Rydberg-atom arrays are constructed, overcoming the intrinsic limitations of two-dimensional arrays. We demonstrate Kuratowski subgraphs and a six-degree graph, which are the essentials of non-planar and high-degree graphs. Their MIS solutions are obtained by realizing a programmable quantum simulator with the quantum-wired 3D arrays. Our construction provides a way to engineer many-body entanglement, taking a step toward quantum advantages in combinatorial optimization.

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Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Systematic improvement of the quantum approximate optimisation ansatz for combinatorial optimisation using quantum subspace expansion

    quant-ph 2025-06 conditional novelty 6.0 of 10

    QAOA plus quantum subspace expansion systematically improves MIS solutions on small random graphs, with a fitted gate-count crossover extrapolated to about 75 nodes.

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