Quantum algorithms achieve polynomial advantage for synchronization estimation and super-polynomial advantage for no-phase-locking certification in higher-order simplicial Kuramoto models under stated assumptions.
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Topological Kuramoto model on cell complexes yields phase-locked states via winding numbers, with multistability requiring boundaries of at least five elements and cascades across dimensions.
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Efficient Quantum Algorithms for Higher-Order Coupled Oscillators
Quantum algorithms achieve polynomial advantage for synchronization estimation and super-polynomial advantage for no-phase-locking certification in higher-order simplicial Kuramoto models under stated assumptions.
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Phase locking and multistability in the topological Kuramoto model on cell complexes
Topological Kuramoto model on cell complexes yields phase-locked states via winding numbers, with multistability requiring boundaries of at least five elements and cascades across dimensions.