Generation of a C-NOT Gate Using a Trapped Ion

Miao Zhang, Haoran Jia, L. F. Wei

Miguel Orszag, Francisco Larrain

In this paper we propose the use of a single ion to generate a C-NOT gate by coupling two vibrational degrees of freedom coupled with a suitable chosen laser excitation via the internal ionic states. We concentrate on a two-dimensional ion trap with different frequencies in the X and Y directions and demonstrate how the C-NOT gate can be achieved.

Ying-Qiao Zhang, Jin Xing-Ri, Shou Zhang +1 more

We propose a scheme to generate a quantum phase gate via an unconventional geometric phase shift in an ion-trap system.Since the gate time is only related to the frequency of the vibrational mode, the present scheme, based on the resonant interaction of the trapped ions with a standing-wave laser beam, requires a much shorter gate time than the scheme based on the resonant interaction of the atoms and the cavity.Also the heating effect of the vibrational mode is negligible under certain conditions.

Gui-Yu Hu, Yang Zhen, Ye Liu

Wen‐Xing Yang

We propose a scheme to generate a superposition of motional coherent states with arbitrary coefficients on a line in phase space and implement a quantum controlled phase-gate for multiple trapped ions with a single standing-wave laser pulse whose carrier frequency is tuned to the ions transition. In the scheme each ion does not need to be exactly positioned at the node of the standing wave, which is very important from viewpoint of experiment. Furthermore, our scheme may allow the generation of a superposition of coherent states with large mean phonon number for a large number of trapped ions in a fast way by choosing suitable laser intensity. We show that it can also be used to generate maximally entangled states of multiple trapped ions.