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A numerical solution for Wootters correlation

  • Universidad Javeriana

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

This paper describes QDsim, a parallel application designed to compute the quantum concurrence by calculating the Wootters correlation of a quantum system. The system is based on a two-level two quantum dots inside a resonant cavity. A Beowulf-like cluster was used for running QDsim. The application was developed using open, portable and scalable software and can be controlled via a GUI client from a remote terminal over either the Internet or a local network. A serial version and three parallel models (shared memory, distributed memory and hybrid –distributed/shared memory) using two different partitioning schemes were implemented to assess their performance. Results showed that the hybrid model approach using domain decomposition achieves the highest performance (12.2X speedup in front of the sequential version) followed by the distributed memory model (6.6X speedup). In both cases, the numerical error is within 1×10-4, which is accurate enough for estimating the correlation trend.

Original languageEnglish
Title of host publicationHigh Performance Computing - First HPCLATAM - CLCAR - Latin American Joint Conference, CARLA 2014, Proceedings
EditorsGonzalo Hernández, Carlos Jaime Barrios Hernández, Gilberto Díaz, Carlos García Garino, Sergio Nesmachnow, Tomás Pérez-Acle, Mario Storti, Mariano Vázquez
PublisherSpringer Verlag
Pages221-235
Number of pages15
ISBN (Electronic)9783662454824
DOIs
StatePublished - 2014
Event1st High-Performance Computing Latin America Community, HPCLATAM-CLCAR 2014 and Latin American Joint Conference, CARLA 2014 - Valparaiso, Chile
Duration: 20 Oct 201422 Oct 2014

Publication series

NameCommunications in Computer and Information Science
Volume485
ISSN (Print)1865-0929
ISSN (Electronic)1865-0937

Conference

Conference1st High-Performance Computing Latin America Community, HPCLATAM-CLCAR 2014 and Latin American Joint Conference, CARLA 2014
Country/TerritoryChile
CityValparaiso
Period20/10/1422/10/14

Keywords

  • Cluster Computing
  • Density Matrix
  • Parallel Algorithms
  • Parallel Models
  • Quantum Computing
  • Wootters Correlation

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