dorsal/arxiv
View SchemaCavity QED and Quantum Computation in the Weak Coupling Regime II : Complete Construction of the Controlled-Controlled NOT Gate
| Authors | Kazuyuki Fujii, Kyoko Higashida, Ryosuke Kato, Yukako Wada |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0501046 |
| URL | https://arxiv.org/abs/quant-ph/0501046 |
| Journal | Trends in Quantum Computing Research, Susan Shannon (Ed.), Chapter 8, Nova Science Publishers, 2006 ; Computer Science and Quantum Computing, James E. Stones (Ed.), Chapter 1, Nova Science Publishers, 2007 |
Abstract
In this paper we treat a cavity QED quantum computation. Namely, 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 weak coupling regime to construct the controlled NOT gate in the case of n=2, and to construct the controlled-controlled NOT gate in the case of n=3 by making use of several resonance conditions and rotating wave approximation associated to them. We also present an idea to construct general quantum circuits. The approach is more sophisticated than that of the paper [K. Fujii, Higashida, Kato and Wada, Cavity QED and Quantum Computation in the Weak Coupling Regime, J. Opt. B : Quantum Semiclass. Opt. {\bf 6} (2004), 502]. Our method is not heuristic but completely mathematical, and the significant feature is based on a consistent use of Rabi oscillations.
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"abstract": "In this paper we treat a cavity QED quantum computation. Namely, we consider\na model of quantum computation based on n atoms of laser-cooled and trapped\nlinearly in a cavity and realize it as the n atoms Tavis-Cummings Hamiltonian\ninteracting with n external (laser) fields.\n We solve the Schr{\\\" o}dinger equation of the model in the weak coupling\nregime to construct the controlled NOT gate in the case of n=2, and to\nconstruct the controlled-controlled NOT gate in the case of n=3 by making use\nof several resonance conditions and rotating wave approximation associated to\nthem. We also present an idea to construct general quantum circuits.\n The approach is more sophisticated than that of the paper [K. Fujii,\nHigashida, Kato and Wada, Cavity QED and Quantum Computation in the Weak\nCoupling Regime, J. Opt. B : Quantum Semiclass. Opt. {\\bf 6} (2004), 502].\n Our method is not heuristic but completely mathematical, and the significant\nfeature is based on a consistent use of Rabi oscillations.",
"arxiv_id": "quant-ph/0501046",
"authors": [
"Kazuyuki Fujii",
"Kyoko Higashida",
"Ryosuke Kato",
"Yukako Wada"
],
"categories": [
"quant-ph"
],
"journal_ref": "Trends in Quantum Computing Research, Susan Shannon (Ed.), Chapter\n 8, Nova Science Publishers, 2006 ; Computer Science and Quantum Computing,\n James E. Stones (Ed.), Chapter 1, Nova Science Publishers, 2007",
"title": "Cavity QED and Quantum Computation in the Weak Coupling Regime II : Complete Construction of the Controlled-Controlled NOT Gate",
"url": "https://arxiv.org/abs/quant-ph/0501046"
},
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