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This paper has been withdrawn by the author due to some problems.

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This paper has been withdrawn as it has been superseded by postings arXiv:quant-ph/0702147 and arXiv:0712.2935

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This paper has been withdrawn by the authors, due to the discovery of paper 0201028 which predates it and contains most of it's results.

We propose a scheme to perform basic gates of quantum computing and prepare entangled states in a system with cold trapped ions located in a single mode optical cavity. General quantum computing can be made with both motional state of the…

This paper has been withdrawn by the author, due a crucial error in the optimization. For the last one month I have been trying to remove the error, but it seems to take a lot of time so I decided to withdraw this paper for the moment.

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This paper has been withdrawn by the author due to the incorrect argument for the security.

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This paper has been withdrawn by the author, due to the insecurity against attacks received in quant-ph/0605027v5.

This paper has been withdrawn, and will be superseded by another submission.