Generation of arbitrary two dimensional motional state of a trapped ion

Details Generation of arbitrary two dimensional motional state of a trapped ion Generation of arbitrary two dimensional motional state of a trapped ion

2001-08-27

arxiv.org/abs/quant-ph/0108117v2

Physics

Quantum Physics

to appear in PRA

Scientific paper

10.1103/PhysRevA.65.045801

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 upper phonon number $M$ and $N$ in the $x$ and $y$ direction respectively.

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