@article {1261, title = {Universal simulation of Hamiltonian dynamics for qudits}, journal = {Physical Review A}, volume = {66}, year = {2002}, month = {2002/8/30}, abstract = { What interactions are sufficient to simulate arbitrary quantum dynamics in a composite quantum system? Dodd et al. (quant-ph/0106064) provided a partial solution to this problem in the form of an efficient algorithm to simulate any desired two-body Hamiltonian evolution using any fixed two-body entangling N-qubit Hamiltonian, and local unitaries. We extend this result to the case where the component systems have D dimensions. As a consequence we explain how universal quantum computation can be performed with any fixed two-body entangling N-qudit Hamiltonian, and local unitaries. }, doi = {10.1103/PhysRevA.66.022317}, url = {http://arxiv.org/abs/quant-ph/0109064v2}, author = {Michael A. Nielsen and Michael J. Bremner and Jennifer L. Dodd and Andrew M. Childs and Christopher M. Dawson} }