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This research introduces a novel framework to simplify higher-order Ising models by iteratively merging variables, addressing limitations of existing methods that focus only on second-order interactions. By validating the approach on both synthetic hypergraphs and real-world network datasets, the work provides essential preprocessing tools for tackling complex optimization problems previously considered intractable with standard heuristic solvers.
Researchers Detail Quantum Reduction Scheme for Higher-Order Ising Problems

Researchers at arxivlabs present a quantum-focused Hamiltonian reduction scheme, generalizing techniques for higher-order Ising models beyond second-order interactions.
Chengsi Mao of the Fudan University and colleagues from Huawei Technologies Co., have developed a new Hamiltonian reduction framework to tackle increasingly complex optimization problems. Existing techniques for shrinking these problems primarily address second-order Ising models; however, this work directly confronts higher-order…
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