English

On exponential polynomials and quantum computing

Quantum Physics 2009-08-10 v1 Computational Complexity

Abstract

We calculate the zeros of an exponential polynomial of three variables by a classical algorithm and quantum algorithms which are based on the method of van Dam and Shparlinski, they treated the case of two variables, and compare with the time complexity of those cases. Further we compare the case of van Dam and Shparlinski with our case by considering the ratio (classical/quantum) of the time complexity. Then we can observe the ratio decreases.

Cite

@article{arxiv.0908.1027,
  title  = {On exponential polynomials and quantum computing},
  author = {Yasuo Ohno and Yoshitaka Sasaki and Chika Yamazaki},
  journal= {arXiv preprint arXiv:0908.1027},
  year   = {2009}
}

Comments

7pages, LaTeX

R2 v1 2026-06-21T13:33:24.216Z