dorsal/arxiv
View SchemaCavity QED and Quantum Computation in the Weak Coupling Regime
| Authors | Kazuyuki Fujii, Kyoko Higashida, Ryosuke Kato, Yukako Wada |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0407014 |
| URL | https://arxiv.org/abs/quant-ph/0407014 |
| DOI | 10.1088/1464-4266/6/12/004 |
| Journal | J. Opt. B: Quantum Semiclass. Opt. 6(2004) 502-509 |
Abstract
In this paper we consider a model of quantum computation based on n atoms of laser-cooled and trapped linearly in a cavity and realize it as the n atoms Tavis-Cummings Hamiltonian interacting with n external (laser) fields. We solve the Schr{\" o}dinger equation of the model in the case of n=2 and construct the controlled NOT gate by making use of a resonance condition and rotating wave approximation associated to it. Our method is not heuristic but completely mathematical, and the significant feature is a consistent use of Rabi oscillations. We also present an idea of the construction of three controlled NOT gates in the case of n=3 which gives the controlled-controlled NOT gate.
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"abstract": "In this paper we consider a model of quantum computation based on n atoms of\nlaser-cooled and trapped linearly in a cavity and realize it as the n atoms\nTavis-Cummings Hamiltonian interacting with n external (laser) fields.\n We solve the Schr{\\\" o}dinger equation of the model in the case of n=2 and\nconstruct the controlled NOT gate by making use of a resonance condition and\nrotating wave approximation associated to it. Our method is not heuristic but\ncompletely mathematical, and the significant feature is a consistent use of\nRabi oscillations.\n We also present an idea of the construction of three controlled NOT gates in\nthe case of n=3 which gives the controlled-controlled NOT gate.",
"arxiv_id": "quant-ph/0407014",
"authors": [
"Kazuyuki Fujii",
"Kyoko Higashida",
"Ryosuke Kato",
"Yukako Wada"
],
"categories": [
"quant-ph",
"cond-mat.other",
"math-ph",
"math.MP"
],
"doi": "10.1088/1464-4266/6/12/004",
"journal_ref": "J. Opt. B: Quantum Semiclass. Opt. 6(2004) 502-509",
"title": "Cavity QED and Quantum Computation in the Weak Coupling Regime",
"url": "https://arxiv.org/abs/quant-ph/0407014"
},
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