Quantum simulation of a Hamiltonian H requires unitary operator decomposition (UOD) of its evolution operator, (U=exp(−iHt)) in terms of experimentally preferable unitaries. Here, using Genetic Algorithm optimization, we numerically evaluate the most generic UOD for the Hamiltonian, DM interaction in the presence of Heisenberg XY interaction, HDH. Using these decompositions, we studied the entanglement dynamics of Bell state in the Hamiltonian HDH and verified the entanglement preservation procedure by Hou et al. [Annals of Physics 327, 292 (2012)].
@article{arxiv.1301.2753,
title = {Quantum Simulation of Dzyaloshinsky-Moriya Interaction},
author = {V. S. Manu and Anil Kumar},
journal= {arXiv preprint arXiv:1301.2753},
year = {2013}
}