01113nas a2200169 4500008004100000245006000041210006000101260001400161490000700175520059300182100002500775700002500800700002300825700002300848700002800871856004400899 2002 eng d00aUniversal simulation of Hamiltonian dynamics for qudits0 aUniversal simulation of Hamiltonian dynamics for qudits c2002/8/300 v663 a 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.
1 aNielsen, Michael, A.1 aBremner, Michael, J.1 aDodd, Jennifer, L.1 aChilds, Andrew, M.1 aDawson, Christopher, M. uhttp://arxiv.org/abs/quant-ph/0109064v2