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.
A polynomial time quantum algorithm for exponentially large scale nonlinear differential equations via hamiltonian simulation.arXiv preprint arXiv:2305.00653, 2023
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Quantum algorithm for N-dimensional stochastic nonlinear differential equations with quadratic drift and dissipation approximates low-order correlation expectations at polylog(N) cost under norm-preserving drift conditions.
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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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Quantum algorithms for stochastic nonlinear differential equations
Quantum algorithm for N-dimensional stochastic nonlinear differential equations with quadratic drift and dissipation approximates low-order correlation expectations at polylog(N) cost under norm-preserving drift conditions.