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.
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Original Russian Text © A.S. Burkov, 2009, published in Mikroelektronika, 2009, Vol. 38, No.2, pp. 148–153.