External electric field control in the charge qubits including three Josephson junctions

doi:10.1088/1674-1056/19/10/100314

Abstract Based on the standard canonical quantization principle, this paper gives the quantization scheme for the charge qubits mesoscopic circuit including three Josephson junctions coupled capacitively. By virtue of the Heisenberg equation, the time evolution of the phase difference operators across the polar plates and the number operators of the Cooper-pairs on the island are investigated and the modification of the Josephson equation is discussed. The time evolution of the phase difference operators is analysed when the Josephson junctions are irradiated by the external electrical field, which is referred to as also the obtainable controlling parameter.

Keywords: control charge qubit Josephson junction

Received: 14 March 2010
Revised: 15 April 2010
Accepted manuscript online:

PACS:	03.67.Lx	(Quantum computation architectures and implementations)
	74.50.+r	(Tunneling phenomena; Josephson effects)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 10574060), the Natural Science Foundation of Shandong Province of China (Grant No. Y2008A23), and Program of the Educational Bureau of Shandong Province of China (Grant No. J09LA07).

Cite this article:

Liu Hai-Yan(刘海燕), Wang Ji-Suo(王继锁), and Liang Bao-Long(梁宝龙) External electric field control in the charge qubits including three Josephson junctions 2010 Chin. Phys. B 19 100314

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External electric field control in the charge qubits including three Josephson junctions

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