Quantum Computer Can Not Speed Up Iterated Applications of a Black Box

@inproceedings{Ozhigov1998QuantumCC,
  title={Quantum Computer Can Not Speed Up Iterated Applications of a Black Box},
  author={Yuri Ozhigov},
  booktitle={QCQC},
  year={1998}
}
  • Yuri Ozhigov
  • Published in QCQC 1998
  • Physics, Mathematics, Computer Science
  • Let a classical algorithm be determined by sequential applications of a black box performing one step of this algorithm. If we consider this black box as an oracle which gives a value f(a) for a query a, we can compute T sequential applications of f on a classical computer relative to this oracle in time T. It is proved that if T = O(2n/7), where n is the length of input, then the result of T sequential applications of f can not be computed on quantum computer with oracle for f for all… CONTINUE READING

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