On exponential polynomials and quantum computing

Yasuo Ohno; Yoshitaka Sasaki; Chika Yamazaki

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arXiv · 0908.1027

On exponential polynomials and quantum computing

Yasuo Ohno·Yoshitaka Sasaki·Chika Yamazaki

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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.

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Yasuo Ohno, Yoshitaka Sasaki, Chika Yamazaki. 2009-08-07. On exponential polynomials and quantum computing. https://arxiv.org/abs/0908.1027

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