Time-marching based quantum solvers for time-dependent linear differential equations

  title={Time-marching based quantum solvers for time-dependent linear differential equations},
  author={Di Fang and Lin Lin and Yu Tong},
The time-marching strategy, which propagates the solution from one time step to the next, is a natural strategy for solving time-dependent differential equations on classical computers, as well as for solving the Hamiltonian simulation problem on quantum computers. For more general linear differential equations dd t ) | ) i , | i = | ψ 0 i , a time-marching based quantum solver can suffer from exponentially vanishing success probability with respect to the number of time steps and is thus… 

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