• DOI:10.1145/2591796.2591854
Corpus ID: 382473

Exponential improvement in precision for simulating sparse Hamiltonians

@article{Berry2014ExponentialII,
  title={Exponential improvement in precision for simulating sparse Hamiltonians},
  author={D. Berry and Andrew M. Childs and R. Cleve and Robin Kothari and R. Somma},
  journal={Proceedings of the forty-sixth annual ACM symposium on Theory of computing},
  year={2014}
}

• D. Berry, Andrew M. Childs, +2 authors R. Somma
• Published 2014
• Computer Science, Physics, Mathematics
• Proceedings of the forty-sixth annual ACM symposium on Theory of computing

We provide a quantum algorithm for simulating the dynamics of sparse Hamiltonians with complexity sublogarithmic in the inverse error, an exponential improvement over previous methods. Specifically, we show that a d-sparse Hamiltonian H on n qubits can be simulated for time t with precision ε using O(τlog(τ/ε)/log log(τ/ε)) queries and O(τnlog2(τ/ε)/log log(τ/ε)) additional 2-qubit gates, where τ=d2||H||maxt. Unlike previous approaches based on product formulas, the query complexity is… Expand

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