document: Universal simulation of Hamiltonian dynamics for quantum systems with finite-dimensional state spaces What interactions are sufficient to simulate arbitrary quantum dynamics in a composite quantum system ? Dodd et al. -LSB- Phys . Rev. A 65 , 040301 -LRB- R -RRB- -LRB- 2002 -RRB- -RSB- 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 are qudits , that is , 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
doc_bio_tags: B I O B I O B I O O O O O O O O O O O B I O O B I I O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O B I O O O O O O O O O O O O O O O O O O O O O O O O O O O O B I I O O O O O O O O O O O O B I
extractive_keyphrases: universal simulation hamiltonian dynamics quantum systems quantum dynamics composite quantum system local unitaries universal quantum computation
abstractive_keyphrases: finite- dimensional state spaces two-body hamiltonian evolution fixed two-body entangling n-qubit hamiltonian d-dimensional component systems fixed two-body entangling n-qudit hamiltonian