Balanced k-way hypergraph partitioning is cast as QUBO and higher-order binary problems for quantum optimization, with small-instance tests confirming effectiveness for the all-or-nothing cut on 3-uniform hypergraphs.
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Systematic numerical study of QAOA parameter transfer on heavy-hex Ising models with local cubic terms shows transferred angles from small instances yield improving expectation values up to 49 layers on instances up to 156 qubits, with hardware runs confirming gains up to p=10.
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Quantum Hypergraph Partitioning
Balanced k-way hypergraph partitioning is cast as QUBO and higher-order binary problems for quantum optimization, with small-instance tests confirming effectiveness for the all-or-nothing cut on 3-uniform hypergraphs.
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Evaluating the Limits of QAOA Parameter Transfer at High-Rounds on Sparse Ising Models With Geometrically Local Cubic Terms
Systematic numerical study of QAOA parameter transfer on heavy-hex Ising models with local cubic terms shows transferred angles from small instances yield improving expectation values up to 49 layers on instances up to 156 qubits, with hardware runs confirming gains up to p=10.