English

A Second-Order Distributed Trotter-Suzuki Solver with a Hybrid Kernel

Computational Physics 2013-03-06 v1 Distributed, Parallel, and Cluster Computing Quantum Physics

Abstract

The Trotter-Suzuki approximation leads to an efficient algorithm for solving the time-dependent Schr\"odinger equation. Using existing highly optimized CPU and GPU kernels, we developed a distributed version of the algorithm that runs efficiently on a cluster. Our implementation also improves single node performance, and is able to use multiple GPUs within a node. The scaling is close to linear using the CPU kernels, whereas the efficiency of GPU kernels improve with larger matrices. We also introduce a hybrid kernel that simultaneously uses multicore CPUs and GPUs in a distributed system. This kernel is shown to be efficient when the matrix size would not fit in the GPU memory. Larger quantum systems scale especially well with a high number nodes. The code is available under an open source license.

Keywords

Cite

@article{arxiv.1208.2407,
  title  = {A Second-Order Distributed Trotter-Suzuki Solver with a Hybrid Kernel},
  author = {Peter Wittek and Fernando M. Cucchietti},
  journal= {arXiv preprint arXiv:1208.2407},
  year   = {2013}
}

Comments

11 pages, 10 figures

R2 v1 2026-06-21T21:49:28.914Z