The density matrix renormalization group algorithm on kilo-processor architectures: Implementation and trade-offs |
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| Authors: | Csaba Nemes,Gergely Barcza,Zoltá n Nagy,Ö rs Legeza,Pé ter Szolgay |
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| Affiliation: | 1. Faculty of Information Technology, Péter Pázmány Catholic University, Budapest, Hungary;2. Cellular Sensory and Wave Computing Laboratory, Computer and Research Automation Institute, Hungarian Academy of Sciences, Budapest, Hungary;3. Strongly Correlated Systems “Lendület” Research Group, Department of Theoretical Solid State Physics, Wigner Research Centre for Physics, Hungarian Academy of Sciences, Budapest, Hungary |
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| Abstract: | In the numerical analysis of strongly correlated quantum lattice models one of the leading algorithms developed to balance the size of the effective Hilbert space and the accuracy of the simulation is the density matrix renormalization group (DMRG) algorithm, in which the run-time is dominated by the iterative diagonalization of the Hamilton operator. As the most time-dominant step of the diagonalization can be expressed as a list of dense matrix operations, the DMRG is an appealing candidate to fully utilize the computing power residing in novel kilo-processor architectures. |
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| Keywords: | Strongly correlated systems DMRG GPU acceleration FPGA acceleration |
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