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Simulating the dynamics of time-dependent Hamiltonians with a truncated Dyson series

Simulating the dynamics of time-dependent Hamiltonians with a truncated Dyson series

We provide a general method for efficiently simulating time-dependent Hamiltonian dynamics on a circuit-model based quantum computer. Our approach is based on approximating the truncated Dyson series of the evolution operator, extending the earlier proposal by Berry to evolution generated by explicitly time-dependent Hamiltonians. Two alternative strategies are proposed to …