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arXiv:quant-ph/0610256 · Open Systems & Information Dynamics

Effective Generation of Cat and Kitten States

Magdalena Stobińska, Gerard J Milburn, Krzysztof Wódkiewicz

Published Mar 1, 2007• 7 citations
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Abstract

We present an effective method of coherent state superposition (cat state) generation using single trapped ion in a Paul trap. The method is experimentally feasible for coherent states with amplitude α ≤ 2 using available technology. It works both in and beyond the Lamb-Dicke regime.
DOI
10.1007/s11080-007-9031-9

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The fidelity of the generated Schrodinger Cat state (SCS) of a single trapped ion in the Lamb–Dicke approximation is discussed. The results show that the fidelity significantly decreases with the values of Lamb–Dicke parameter η and coherent state amplitude α increasing. For η = 0.20 and α = 3, the typical values of experimental parameters, the fidelity is rather low (30%). A scheme for generating the SCS is proposed without making the Lamb–Dike approximation in laser–ion interaction, and the fidelity of the generated SCS is about 99% for the typical values of experimental Lamb–Dicke parameters.