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Quantum Simulation

Reducing the Gate Count with Efficient Trotter-Suzuki Schemes

arXiv
Authors: Marko Maležič, Johann Ostmeyer

Year

2026

Paper ID

15700

Status

Preprint

Abstract Read

~2 min

Abstract Words

100

Citations

N/A

Abstract

Hamiltonian formulations of lattice field theories provide access to real-time dynamics, but their simulation is difficult to implement efficiently. Trotter-Suzuki decompositions are at the center of time evolution computation, either on quantum hardware or classically, for instance with the use of tensor networks. While low-order Trotterizations remain the standard choice due to their simplicity, higher-order schemes offer the potential for improved efficiency. In this work we outline a short guide to Trotter-Suzuki schemes and their implementations in general. To help with this, we highlight new efficient schemes found by our optimization framework, and demonstrate their performance on the Heisenberg model.

Why This Paper Matters

  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
  • It adds a 2026 reference point for readers tracking recent quantum research.
  • Hamiltonian formulations of lattice field theories provide access to real-time dynamics, but their simulation is difficult to implement efficiently.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2602.21145 [2] arXiv https://arxiv.org/abs/2602.21145 [3] Publisher https://arxiv.org/abs/2602.21145

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