Universal simulation of Hamiltonian dynamics for qudits
量子物理
2007-05-23 v2
摘要
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.
引用
@article{arxiv.quant-ph/0109064,
title = {Universal simulation of Hamiltonian dynamics for qudits},
author = {Michael A. Nielsen and Michael J. Bremner and Jennifer L. Dodd and Andrew M. Childs and Christopher M. Dawson},
journal= {arXiv preprint arXiv:quant-ph/0109064},
year = {2007}
}
备注
13 pages, an error in the "Pauli-Euclid-Gottesman Lemma" fixed, main results unchanged