The quantum algorithm of Kieu does not solve the Hilbert's tenth problem
Quantum Physics
2007-05-23 v1
Abstract
Recently T. Kieu (arXiv:quant-ph/0110136) claimed a quantum algorithm computing some functions beyond the Church-Turing class. He notes that "it is in fact widely believed that quantum computation cannot offer anything new about computability" and claims the opposite. However, his quantum algorithm does not work, which is the point of my short note. I still believe that quantum computation leads to new complexity but retains the old computability.
Keywords
Cite
@article{arxiv.quant-ph/0111009,
title = {The quantum algorithm of Kieu does not solve the Hilbert's tenth problem},
author = {Boris Tsirelson},
journal= {arXiv preprint arXiv:quant-ph/0111009},
year = {2007}
}