dorsal/arxiv
View SchemaExact gate-sequences for universal quantum computation using the XY-interaction alone
| Authors | J. Kempe, K. B. Whaley |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0112014 |
| URL | https://arxiv.org/abs/quant-ph/0112014 |
| DOI | 10.1103/PhysRevA.65.052330 |
| Journal | Phys. Rev. A, Vol. 65 (5), 052330 (2002) |
Abstract
In a previous publication [1] we showed that it is possible to implement universal quantum computation with the anisotropic XY-Heisenberg exchange acting as a single interaction. To achieve this we used encodings of the states of the computation into a larger Hilbert space. This proof is non- constructive, however, and did not explicitly give the trade-offs in time that are required to implement encoded single qubit operations and encoded two-qubit gates. Here we explicitly give the gate-sequences needed to simulate these operations on encoded qubits and qutrits (three-level systems) and analyze the trade-offs involved. We also propose a possible layout for the qubits in a triangular arrangement.
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"abstract": "In a previous publication [1] we showed that it is possible to implement\nuniversal quantum computation with the anisotropic XY-Heisenberg exchange\nacting as a single interaction. To achieve this we used encodings of the states\nof the computation into a larger Hilbert space. This proof is non-\nconstructive, however, and did not explicitly give the trade-offs in time that\nare required to implement encoded single qubit operations and encoded two-qubit\ngates. Here we explicitly give the gate-sequences needed to simulate these\noperations on encoded qubits and qutrits (three-level systems) and analyze the\ntrade-offs involved. We also propose a possible layout for the qubits in a\ntriangular arrangement.",
"arxiv_id": "quant-ph/0112014",
"authors": [
"J. Kempe",
"K. B. Whaley"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.65.052330",
"journal_ref": "Phys. Rev. A, Vol. 65 (5), 052330 (2002)",
"title": "Exact gate-sequences for universal quantum computation using the XY-interaction alone",
"url": "https://arxiv.org/abs/quant-ph/0112014"
},
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