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

Mária Kieferová, Artur Scherer, Dominic W. Berry

    Research output: Contribution to journalArticlepeer-review

    14 Citations (Scopus)

    Abstract

    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 et al. [Phys. Rev. Lett. 114, 090502 (2015)PRLTAO0031-900710.1103/PhysRevLett.114.090502] to evolution generated by explicitly time-dependent Hamiltonians. Two alternative strategies are proposed to implement time ordering while exploiting the superposition principle for sampling the Hamiltonian at different times. The resource cost of our simulation algorithm retains the optimal logarithmic dependence on the inverse of the desired precision.

    Original languageEnglish
    Article number042314
    Pages (from-to)1-13
    Number of pages13
    JournalPhysical Review A
    Volume99
    Issue number4
    DOIs
    Publication statusPublished - 5 Apr 2019

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