Universal simulation of Hamiltonian dynamics for qudits

TitleUniversal simulation of Hamiltonian dynamics for qudits
Publication TypeJournal Article
Year of Publication2002
AuthorsNielsen, MA, Bremner, MJ, Dodd, JL, Childs, AM, Dawson, CM
JournalPhysical Review A
Date Published2002/8/30

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.

Short TitlePhys. Rev. A