相关论文: A New Formulation of Grover's Algorithm

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This paper has been withdrawn, as all conjectures (and one claim) have been proven incorrect. Some of what remains may eventually reappear in a different context.

As the engineering endeavour to realise quantum computers progresses, we consider that such machines need not rely on binary as their de facto unit of information. We investigate Grover's algorithm under a generalised quantum circuit model,…

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This paper has been withdrawn by the author, due to a crucial error in the proof of Lemma 3.1.

Grover's algorithm is usually described in terms of the iteration of a compound operator of the form $Q = - H I_{0} H I_{x_0}$. Although it is quite straightforward to verify the algebra of the iteration, this gives little insight into why…

This paper has been withdrawn by the author due to inconsistency of the considered working hypothesis. The consistent treatment is presented in the last publications of the author.

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This paper has been withdrawn by the author because the result of this paper was already obtained.

This paper has been withdrawn by the author due to the incorrect argument for the security.

This paper has been withdrawn while the author verifies the literature.

The paper has been withdrawn due to numerical error.

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This paper has been withdrawn by the author and replaced by arXiv:0809.4751

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This paper has been withdrawn by the author(s) and included into the new version of "An extension theorem for separately holomorphic functions with singularities", math.CV/0104089.

This paper has been withdrawn by the author. It will be replaced, substantially modified, by sections of the author's completed PhD thesis.

The paper has been withdrawn.