A numerical solution for Wootters correlation

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.