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

Authors
  • Wittek, Peter
  • Cucchietti, Fernando M.
Type
Published Article
Publication Date
Aug 12, 2012
Submission Date
Aug 12, 2012
Identifiers
DOI: 10.1016/j.cpc.2012.12.008
Source
arXiv
License
Yellow
External links

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.

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