Universal simulation of Hamiltonian dynamics for qudits

Details Universal simulation of Hamiltonian dynamics for qudits Universal simulation of Hamiltonian dynamics for qudits

2001-09-14

arxiv.org/abs/quant-ph/0109064v2

Phys. Rev. A 66, 022317 (2002)

Physics

Quantum Physics

13 pages, an error in the "Pauli-Euclid-Gottesman Lemma" fixed, main results unchanged

Scientific paper

10.1103/PhysRevA.66.022317

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.

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