Universal simulation of Hamiltonian dynamics for qudits

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dc.creatorNielsen, Michael A.
dc.creatorBremner, Michael J.
dc.creatorDodd, Jennifer L.
dc.creatorChilds, Andrew M.
dc.creatorDawson, Christopher M.
dc.date2001-09-14
dc.date2002-05-31
dc.date.accessioned2026-07-07T06:02:42Z
dc.date.available2026-07-07T06:02:42Z
dc.descriptionWhat 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.
dc.description13 pages, an error in the "Pauli-Euclid-Gottesman Lemma" fixed, main results unchanged
dc.identifierhttps://arxiv.org/abs/quant-ph/0109064
dc.identifierhttp://arxiv.org/abs/quant-ph/0109064
dc.identifierPhys. Rev. A 66, 022317 (2002)
dc.identifierdoi:10.1103/PhysRevA.66.022317
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/89702
dc.subjectQuantum Physics
dc.titleUniversal simulation of Hamiltonian dynamics for qudits
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