dorsal/arxiv
View SchemaCold Trapped Ions as Quantum Information Processors
| Authors | Marek Sasura, Vladimir Buzek |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0112041 |
| URL | https://arxiv.org/abs/quant-ph/0112041 |
| DOI | 10.1080/09500340110115497 |
| Journal | Journal of Modern Optics 49, 1593-1647 (2002) |
Abstract
In this tutorial we review physical implementation of quantum computing using a system of cold trapped ions. We discuss systematically all the aspects for making the implementation possible. Firstly, we go through the loading and confining of atomic ions in the linear Paul trap, then we describe the collective vibrational motion of trapped ions. Further, we discuss interactions of the ions with a laser beam. We treat the interactions in the travelling-wave and standing-wave configuration for dipole and quadrupole transitions. We review different types of laser cooling techniques associated with trapped ions. We address Doppler cooling, sideband cooling in and beyond the Lamb-Dicke limit, sympathetic cooling and laser cooling using electromagnetically induced transparency. After that we discuss the problem of state detection using the electron shelving method. Then quantum gates are described. We introduce single-qubit rotations, two-qubit controlled-NOT and multi-qubit controlled-NOT gates. We also comment on more advanced multi-qubit logic gates. We describe how quantum logic networks may be used for the synthesis of arbitrary pure quantum states. Finally, we discuss the speed of quantum gates and we also give some numerical estimations for them. A discussion of dynamics on off-resonant transitions associated with a qualitative estimation of the weak coupling regime and of the Lamb-Dicke regime is included in Appendix.
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"abstract": "In this tutorial we review physical implementation of quantum computing using\na system of cold trapped ions. We discuss systematically all the aspects for\nmaking the implementation possible. Firstly, we go through the loading and\nconfining of atomic ions in the linear Paul trap, then we describe the\ncollective vibrational motion of trapped ions. Further, we discuss interactions\nof the ions with a laser beam. We treat the interactions in the travelling-wave\nand standing-wave configuration for dipole and quadrupole transitions. We\nreview different types of laser cooling techniques associated with trapped\nions. We address Doppler cooling, sideband cooling in and beyond the Lamb-Dicke\nlimit, sympathetic cooling and laser cooling using electromagnetically induced\ntransparency. After that we discuss the problem of state detection using the\nelectron shelving method. Then quantum gates are described. We introduce\nsingle-qubit rotations, two-qubit controlled-NOT and multi-qubit controlled-NOT\ngates. We also comment on more advanced multi-qubit logic gates. We describe\nhow quantum logic networks may be used for the synthesis of arbitrary pure\nquantum states. Finally, we discuss the speed of quantum gates and we also give\nsome numerical estimations for them. A discussion of dynamics on off-resonant\ntransitions associated with a qualitative estimation of the weak coupling\nregime and of the Lamb-Dicke regime is included in Appendix.",
"arxiv_id": "quant-ph/0112041",
"authors": [
"Marek Sasura",
"Vladimir Buzek"
],
"categories": [
"quant-ph"
],
"doi": "10.1080/09500340110115497",
"journal_ref": "Journal of Modern Optics 49, 1593-1647 (2002)",
"title": "Cold Trapped Ions as Quantum Information Processors",
"url": "https://arxiv.org/abs/quant-ph/0112041"
},
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