NONLINEAR DYNAMICS AS A GROUND-STATE SOLUTION ON QUANTUM COMPUTERS

Nonlinear dynamics as a ground-state solution on quantum computers

For the solution of time-dependent nonlinear differential equations, we present variational quantum algorithms (VQAs) that encode both space and time in qubit registers.The spacetime encoding enables us to obtain the entire time evolution from a single ground-state computation.We describe a general procedure to construct efficient quantum circuits

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