dorsal/arxiv
View SchemaUniversal simulation of Hamiltonian dynamics for qudits
| Authors | Michael A. Nielsen, Michael J. Bremner, Jennifer L. Dodd, Andrew M. Childs, Christopher M. Dawson |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0109064 |
| URL | https://arxiv.org/abs/quant-ph/0109064 |
| DOI | 10.1103/PhysRevA.66.022317 |
| Journal | Phys. Rev. A 66, 022317 (2002) |
Abstract
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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"abstract": "What interactions are sufficient to simulate arbitrary quantum dynamics in a\ncomposite quantum system? Dodd et al. (quant-ph/0106064) provided a partial\nsolution to this problem in the form of an efficient algorithm to simulate any\ndesired two-body Hamiltonian evolution using any fixed two-body entangling\nN-qubit Hamiltonian, and local unitaries. We extend this result to the case\nwhere the component systems have D dimensions. As a consequence we explain how\nuniversal quantum computation can be performed with any fixed two-body\nentangling N-qudit Hamiltonian, and local unitaries.",
"arxiv_id": "quant-ph/0109064",
"authors": [
"Michael A. Nielsen",
"Michael J. Bremner",
"Jennifer L. Dodd",
"Andrew M. Childs",
"Christopher M. Dawson"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.66.022317",
"journal_ref": "Phys. Rev. A 66, 022317 (2002)",
"title": "Universal simulation of Hamiltonian dynamics for qudits",
"url": "https://arxiv.org/abs/quant-ph/0109064"
},
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