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We establish a general method for proving bounds on the information that can be extracted via arbitrary entangled measurements on tensor products of hidden subgroup coset states. When applied to the symmetric group, the method yields an…

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withdrawn by the authors because of an error.

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This paper has been withdrawn by the authors, due to the discovery of paper 0201028 which predates it and contains most of it's results.

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This paper has been withdrawn due to non-clearness of some technical points, as well as lack of a reasonable statement of quantization conjecture.

This paper has been withdrawn by the author(s), due a crucial error on the entanglement of $\Gamma$ registers.

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This paper has been withdrawn by the authors; replaced by arXiv:0705.2531v2 [quant-ph].

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This paper has been withdrawn by the author(s). Please refer to quant-ph/0311171.

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This paper is withdrawn. See quant-ph/9806031 for a discussion.

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