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

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dc.creatorStobińska, Magdalena
dc.creatorMilburn, G. J.
dc.creatorWódkiewicz, Krzysztof
dc.date2008-10-15
dc.date.accessioned2026-07-07T10:10:19Z
dc.date.available2026-07-07T10:10:19Z
dc.descriptionAccording 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 $χ^{(3)}$ 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 $χ^{(3)}$ 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.
dc.description10 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/0810.2618
dc.identifierhttp://arxiv.org/abs/0810.2618
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/171571
dc.subjectQuantum Physics
dc.title$χ^{(3)}$ non-Gaussian state generation for light using a trapped ion
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