Relation between quantum NOT gate speed and asymmetry of the potential of RF-SQUID
Ji Ying-Hua(嵇英华)a)b)†, Cai Shi-Hua(蔡十华)a, and Hu Ju-Ju(胡菊菊)a)
a Department of Physics, Jiangxi Normal University, Nanchang 330022, China; b Key Laboratory of Optoelectronic & Telecommunication of Jiangxi, Nanchang, 330022, China
Abstract This paper investigates the relationship between the speed of a quantum not gate and the asymmetry of the potential in an interactive system formed by a two-level RF-SQUID qubit and a classical microwave pulse. The RF-SQUID is characterized by an asymmetric double well potential which gives rise to diagonal matrix elements that describe the interaction of the SQUID with the microwave pulse. And the diagonal matrix elements account for the interaction of the microwave pulse with the SQUID. The results indicate that, when the angular frequency of the microwave field is chosen as near resonate with the transition $\left| 0 \right\rangle \leftrightarrow \left| 1 \right\rangle$, i.e. $\omega_1-\omega_0 \approx \omega_{\rm m}$, (1) the gate speed is decided by three factors, the Rabi frequency, the difference of the diagonal matrix elements between the two levels, and the angular frequency of the applied microwave pulse $\omega _{\rm m} $; (2) the gate speed descends when the asymmetry of the potential is considered.
Received: 26 February 2007
Revised: 29 May 2007
Accepted manuscript online:
(Superconducting device characterization, design, and modeling)
Fund: Project supported by the Science
and Technology Research Foundation of the Education Department of
Jiangxi Province, China (Grant No 200592).
Cite this article:
Ji Ying-Hua(嵇英华), Cai Shi-Hua(蔡十华), and Hu Ju-Ju(胡菊菊) Relation between quantum NOT gate speed and asymmetry of the potential of RF-SQUID 2008 Chin. Phys. B 17 440
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