Universal quantum dynamics from two 2-local Hamiltonians
| dc.creator | Hill, Charles D. | |
| dc.creator | Haselgrove, Henry L. | |
| dc.date | 2008-01-29 | |
| dc.date.accessioned | 2026-07-07T08:57:06Z | |
| dc.date.available | 2026-07-07T08:57:06Z | |
| dc.description | In this paper, we show that the ability to switch globally between two 2-local Hamiltonians on n qubits is sufficient for achieving universal unitary dynamics on those n qubits. Of the two Hamiltonians used in the construction, one is comprised of nearest-neighbour two-qubit interactions on a one-dimensional chain, the other is comprised of single-qubit interactions. We describe a scheme for choosing the switching times in order to generate arbitrary one- and two-qubit gates on the n qubits. However the switching scheme is inefficient, and we leave as an open problem the question of whether the universality of the Hamiltonians can be exploited in an efficient way. | |
| dc.identifier | https://arxiv.org/abs/0801.4487 | |
| dc.identifier | http://arxiv.org/abs/0801.4487 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/146845 | |
| dc.subject | Quantum Physics | |
| dc.title | Universal quantum dynamics from two 2-local Hamiltonians | |
| dc.type | text |