A continuous-variable quantum annealing formulation maps discretized linear differential equations to a quadratic bosonic Hamiltonian, and numerical simulations of two second-order equations match the analytic solutions.
In this work, we use central finite differences as a concrete approximation
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Solving Differential Equations Using Continuous-Variable Quantum Annealing
A continuous-variable quantum annealing formulation maps discretized linear differential equations to a quadratic bosonic Hamiltonian, and numerical simulations of two second-order equations match the analytic solutions.