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Start Over Author "Geurdes, Han" Topic crystal structure Journal international journal of theoretical physics

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1. Efficient Quantum Algorithms of Finding the Roots of a Polynomial Function.

Author

Nagata, Koji, Nakamura, Tadao, Geurdes, Han, Batle, Josep, Farouk, Ahmed, Diep, Do Ngoc, and Patro, Santanu Kumar

Subjects
*ALGORITHMS, *QUANTUM theory, *QUANTUM computing, *CRYSTAL structure, *X-ray diffraction
Abstract

Two quantum algorithms of finding the roots of a polynomial function f(x) = xm + am− 1xm− 1 +... + a1x + a0 are discussed by using the Bernstein-Vazirani algorithm. One algorithm is presented in the modulo 2. The other algorithm is presented in the modulo d. Here all the roots are in the integers Z. The speed of solving the problem is shown to outperform the best classical case by a factor of m in both cases. [ABSTRACT FROM AUTHOR]

Published
2018
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