Corpus ID: 1218552

Single query learning from abelian and non-abelian Hamming distance oracles

@article{Meyer2010SingleQL,
  title={Single query learning from abelian and non-abelian Hamming distance oracles},
  author={D. Meyer and J. Pommersheim},
  journal={Chic. J. Theor. Comput. Sci.},
  year={2010},
  volume={2010}
}
  • D. Meyer, J. Pommersheim
  • Published 2010
  • Mathematics, Physics, Computer Science
  • Chic. J. Theor. Comput. Sci.
  • We study the problem of identifying an n-bit string using a single quantum query to an oracle that computes the Hamming distance between the query and hidden strings. The standard action of the oracle on a response register of dimension r is by powers of the cycle (1...r), all of which, of course, commute. We introduce a new model for the action of an oracle--by general permutations in S_r--and explore how the success probability depends on r and on the map from Hamming distances to… CONTINUE READING
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