English

Reply to ``The quantum algorithm of Kieu does not solve the Hilbert's tenth problem"

Quantum Physics 2007-05-23 v1

Abstract

The arguments employed in quant-ph/0111009, to claim that the quantum algorithm in quant-ph/0110136 does not work, are so general that were they true then the adiabatic theorem itself would have been wrong. As a matter of fact, those arguments are only valid for the sudden approximation, not the adiabatic process.

Cite

@article{arxiv.quant-ph/0111020,
  title  = {Reply to ``The quantum algorithm of Kieu does not solve the Hilbert's tenth problem"},
  author = {Tien D Kieu},
  journal= {arXiv preprint arXiv:quant-ph/0111020},
  year   = {2007}
}

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3 pages