$χ^{(3)}$ non-Gaussian state generation for light using a trapped ion

Details $χ^{(3)}$ non-Gaussian state generation for light using a trapped ion $χ^{(3)}$ non-Gaussian state generation for light using a trapped ion

2008-10-15

arxiv.org/abs/0810.2618v1

Physics

Quantum Physics

10 pages, 4 figures

Scientific paper

According to the Gottesmann-Knill theorem the non-Gaussian states are necessary component for a nontrivial quantum computation. We show two efficient and deterministic methods of $\chi^{(3)}$ non-Gaussian state generation for a cavity mode using a single trapped ion. Both require ion motional state transfer to the cavity field. The methods are experimentally feasible. The first is based on the well-known protocol for an ion finite motional superposition state generation. It allows for an arbitrary good approximation of $\chi^{(3)}$ non-Gaussian states. We give criteria based on the Wigner function which quantify the error resulting from the approximation. The second and novel method enables an exact non-Gaussian state generation using one laser pulse only.

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