Quantum Simulation of Dzyaloshinsky-Moriya Interaction

Quantum simulation of a Hamiltonian H requires unitary operator decomposition (UOD) of its evolution operator, ($U=exp(-i H t)$) 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, $H_{DH}$. Using these decompositions, we studied the entanglement dynamics of Bell state in the Hamiltonian $H_{DH}$ and verified the entanglement preservation procedure by Hou et al. [Annals of Physics 327, 292 (2012)].