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<title>Massively Parallel Trotter-Suzuki Solver: Massively Parallel Trotter-Suzuki Solver</title>
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<div class="title">Massively Parallel Trotter-Suzuki <a class="el" href="classSolver.html" title="This class defines the evolution tasks. ">Solver</a> </div> </div>
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<div class="textblock"><p>The Trotter-Suzuki approximation leads to an efficient algorithm for simulating quantum systems. This library provides a scalable, high-precision implementation that uses parallel and distributed computational resources. The implementation built on <a href="https://bitbucket.org/zzzoom/trottersuzuki">single-node parallel kernels</a> [1], extending them to use distributed resources [2], and generalizing the kernels to be able to tackle a wider range of problems in quantum physics [3].</p>
<p>Key features:</p>
<ul>
<li>Simulation of 1D and 2D quantum systems.</li>
<li>Cartesian and cylindrical coordinate systems.</li>
<li>Arbitrary single-body initial state with closed and periodic boundary conditions.</li>
<li>Many-body simulations with non-interacting particles.</li>
<li>Solving the Gross-Pitaevskii equation (e.g., <a href="https://github.com/Lucacalderaro/Master-Thesis/blob/master/Soliton%20generation%20on%20Bose-Einstein%20Condensate.ipynb">dark solitons</a>, <a href="http://nbviewer.jupyter.org/github/trotter-suzuki-mpi/notebooks/blob/master/Vortex_Dynamics.ipynb">vortex dynamics in Bose-Einstein Condensates</a>).</li>
<li>Imaginary time evolution to calculate the ground state.</li>
<li>Stationary and time-dependent external potential.</li>
<li>C++ application programming interface (API).</li>
<li>A <a href="https://trotter-suzuki-mpi.readthedocs.io/">Python</a> wrapper is provided.</li>
<li>Cache optimized multi-core and GPU kernels.</li>
<li>Near-linear scaling across multiple nodes with computations overlapping communication.</li>
</ul>
<p>The documentation of the C++ interface is available at <a href="https://trotter-suzuki-mpi.github.io/">trotter-suzuki-mpi.github.io</a>. The Python documentation is on <a href="https://trotter-suzuki-mpi.readthedocs.io/">Read the Docs</a>.</p>
<h2>Copyright and License </h2>
<p>Trotter-Suzuki-MPI is free software; you can redistribute it and/or modify it under the terms of the <a href="http://www.gnu.org/licenses/gpl-3.0.html">GNU General Public License</a> as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version.</p>
<p>Trotter-Suzuki-MPI is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the <a href="http://www.gnu.org/licenses/gpl-3.0.html">GNU General Public License</a> for more details.</p>
<h2>Acknowledgement </h2>
<p>The <a href="https://bitbucket.org/zzzoom/trottersuzuki">original high-performance kernels</a> were developed by Carlos Bederián. The distributed extension was carried out while <a href="http://peterwittek.com/">Peter Wittek</a> was visiting the <a href="http://www.bsc.es/computer-applications">Department of Computer Applications in Science & Engineering</a> at the <a href="http://www.bsc.es/">Barcelona Supercomputing Center</a>, funded by the "Access to BSC Facilities" project of the <a href="http://www.hpc-europa.org/">HPC-Europe2</a> programme (contract no. 228398). Generalizing the capabilities of kernels was carried out by Luca Calderaro while visiting the <a href="https://www.icfo.eu/research/group_details.php?id=19">Quantum Information Theory Group</a> at <a href="https://www.icfo.eu/">ICFO-The Institute of Photonic Sciences</a>, sponsored by the <a href="http://ec.europa.eu/programmes/erasmus-plus/index_en.htm">Erasmus+</a> programme. Further computational resources were granted by the <a href="https://www.bsc.es/RES">Spanish Supercomputing Network</a> (FY-2015-2-0023 and FI-2016-3-0042) and the <a href="http://www.snic.se/">Swedish National Infrastructure for Computing</a> (SNIC 2015/1-162 and 2016/1-320), and a hardware donation by <a href="https://www.nvidia.com/">Nvidia</a>. <a href="http://users.icfo.es/Pietro.Massignan/">Pietro Massignan</a> has contributed to the project with extensive testing and suggestions of new features.</p>
<h2>References </h2>
<ol type="1">
<li>Bederián, C. and Dente, A. (2011). Boosting quantum evolutions using Trotter-Suzuki algorithms on GPUs. <em>Proceedings of HPCLatAm-11, 4th High-Performance Computing Symposium</em>. <a href="http://www.famaf.unc.edu.ar/grupos/GPGPU/boosting_trotter-suzuki.pdf">PDF</a></li>
<li>Wittek, P. and Cucchietti, F.M. (2013). <a href="http://dx.doi.org/10.1016/j.cpc.2012.12.008">A Second-Order Distributed Trotter-Suzuki Solver with a Hybrid CPU-GPU Kernel</a>. <em>Computer Physics Communications</em>, 184, pp. 1165-1171. <a href="http://arxiv.org/pdf/1208.2407">PDF</a></li>
<li>Wittek, P. and Calderaro, L. (2015). <a href="http://dx.doi.org/10.1016/j.cpc.2015.07.017">Extended computational kernels in a massively parallel implementation of the Trotter-Suzuki approximation</a>. <em>Computer Physics Communications</em>, 197, pp. 339-340. <a href="https://www.researchgate.net/profile/Peter_Wittek/publication/280962265_Extended_Computational_Kernels_in_a_Massively_Parallel_Implementation_of_the_TrotterSuzuki_Approximation/links/55cebd1f08aee19936fc5dcf.pdf">PDF</a> </li>
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