Nonholonomic control in quantum computers based on ions in a trap

Nonholonomic control in quantum computers based on ions in a trap Currently, the scheme of a quantum computer based on ions in traps is accepted as one of the most realistic schemes of a scaled quantum computer. In this article, we show application of the method of nonholonomic control over the quantum evolution to this scheme. We consider this to be the most universal and simplest control method for an arbitrary scheme of a quantum computer. In this case, for arbitrary controlled evolution of the quantum system, it is sufficient to have available two lasers operating at a combined frequency equal to a frequency of internal ion transitions and selected total vibrational mode of the system of ions in a trap with different amplitudes. For each laser, it is sufficient to control only the time of their alternate operation with a sufficient accuracy. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Russian Microelectronics Springer Journals

Nonholonomic control in quantum computers based on ions in a trap

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Publisher
SP MAIK Nauka/Interperiodica
Copyright
Copyright © 2009 by Pleiades Publishing, Ltd.
Subject
Engineering; Electrical Engineering
ISSN
1063-7397
eISSN
1608-3415
D.O.I.
10.1134/S1063739709020073
Publisher site
See Article on Publisher Site

Abstract

Currently, the scheme of a quantum computer based on ions in traps is accepted as one of the most realistic schemes of a scaled quantum computer. In this article, we show application of the method of nonholonomic control over the quantum evolution to this scheme. We consider this to be the most universal and simplest control method for an arbitrary scheme of a quantum computer. In this case, for arbitrary controlled evolution of the quantum system, it is sufficient to have available two lasers operating at a combined frequency equal to a frequency of internal ion transitions and selected total vibrational mode of the system of ions in a trap with different amplitudes. For each laser, it is sufficient to control only the time of their alternate operation with a sufficient accuracy.

Journal

Russian MicroelectronicsSpringer Journals

Published: Mar 28, 2009

References

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