Object structure

Journal or Publication Title:

Математические вопросы кибернетики и вычислительной техники=Կիբեռնետիկայի և հաշվողական տեխնիկայի մաթեմատիկական հարցեր=Mathematical problems of computer science

Date of publication:

1963-

Volume:

63

Additional Information:

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Title:

A Quantum Diophantine Equation Solution Finder

Creator:

Tatli, Lara ; Stevenson, Paul

Subject:

Quantum computing

Uncontrolled Keywords:

Grover’s algorithm ; Diophantine equations

Coverage:

60-70

Abstract:

Diophantine equations are multivariate equations, usually polynomial, in which only integer solutions are admitted. A brute force method for finding solutions would be to systematically substitute possible integer values for the unknown variables and check for equality. Grover’s algorithm is a quantum search algorithm which can find marked indices in a list very efficiently. By treating the indices as the integer variables in the Diophantine equation, Grover’s algorithm can be used to find solutions in a brute force way more efficiently than classical methods. We present a hand-coded example for the simplest possible Diophantine equation, and results for a more complicated, but still simulable, equation encoded with a high-level quantum language.

Publisher:

Изд-во НАН РА

Type:

Журнал

Format:

pdf

Location of original object:

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