Generation of Arbitrary Pure States for Three-dimensional Motion of a Trapped Ion

Da-Chuang Li, Wang Xian-ping, Dong Ping +2 more

In this paper, we propose a scheme for generating an arbitrary three-dimensional pure state of vibrational motion of a trapped ion. Our scheme is based on a sequence of laser pulses, which are tuned to the appropriate vibrational sidebands with respect to the appropriate electronic transition.

Shi‐Biao Zheng

Shi‐Biao Zheng

A scheme is proposed to generate an arbitrary entangled state of the two-dimensional vibrational motion of a trapped ion. In the scheme the ion is excited by a sequence of laser pulses tuned to the appropriate vibrational sidebands. In order to generate a pure state with upper phonon numbers M and N in the X and Y directions, respectively, we require no more than $(M+2)(N+1)$ operations.

Shi‐Biao Zheng, Guang‐Can Guo

Xu‐Bo Zou, K. Pahlke, Wolfgang M. Mathis

We present a scheme to generate an arbitrary two-dimensional quantum state of motion of a trapped ion. This proposal is based on a sequence of laser pulses, which are tuned appropriately to control transitions on the sidebands of two modes of vibration. Not more than $(M+1)(N+1)$ laser pulses are needed to generate a pure state with a phonon number limit M and N.

Alessandro S. Villar