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Trapped Ion Quantum Computing Quantum Simulation

(Nearly) Optimal Time-dependent Hamiltonian Simulation

arXiv
Authors: Nhat A. Nghiem

Year

2024

Paper ID

37959

Status

Preprint

Abstract Read

~2 min

Abstract Words

107

Citations

N/A

Abstract

We describe a simple quantum algorithm to simulate time-dependent Hamiltonian, extending the methodology of quantum signal processing. The framework achieves optimal scaling up to some factor with respect to other parameters, and nearly optimal in inverse of error tolerance, which could be improved to optimal scaling under certain input models. As applications, we discuss the problem of simulating generalized lattice system and time-periodic, or Floquet system, showing that our framework provides a neater yet highly efficient solution, achieving optimal/nearly optimal scaling in all parameters. In particular, our method also paves a new way for studying phase transition on quantum computer, extending the reach of quantum simulation.

Why This Paper Matters

  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
  • It adds a 2024 reference point for readers tracking recent quantum research.
  • We describe a simple quantum algorithm to simulate time-dependent Hamiltonian, extending the methodology of quantum signal processing.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2410.14366 [2] arXiv https://arxiv.org/abs/2410.14366 [3] Publisher https://arxiv.org/abs/2410.14366

Local Citation Graph (Related-Paper Links)

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