Quantum Algorithm for 3-SAT Problem by Shor’s Fourier Transform with RAM on QCEngine

A quantum algorithm for the 3-SAT problem by the Shor's Fourier transform with the RAM on the QCEngine, and its example are reported.When there are 3 literals with 2 'OR's in each clause, a number of clauses is m, an r-th clause, and xn are variables.],and S(u)max is r = 1 m rCu,r (x1, x2, x3, , xn), mod(S(u)max) of S(u) [S(u)max is the maximum value of S(u).] is computed, next, for u, the quantum Fourier transform is done.The complexity of this method is able to be several times.

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Publication Details

Journal
Global Journal of Pure and Applied Mathematics
Published
2024-12-26
DOI
https://doi.org/10.37622/gjpam/20.4.2024.695-703
Primary Topic
Blockchain Technology in Education and Learning
Type
article
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article

Quantum Algorithm for 3-SAT Problem by Shor’s Fourier Transform with RAM on QCEngine

Toru Fujimura
Global Journal of Pure and Applied Mathematics
Blockchain Technology in Education and Learning
article

Quantum Algorithm for 3-SAT Problem by Shor’s Fourier Transform with RAM on QCEngine

Toru Fujimura
article en

Abstract

A quantum algorithm for the 3-SAT problem by the Shor's Fourier transform with the RAM on the QCEngine, and its example are reported.When there are 3 literals with 2 'OR's in each clause, a number of clauses is m, an r-th clause, and xn are variables.],and S(u)max is r = 1 m rCu,r (x1, x2, x3, , xn), mod(S(u)max) of S(u) [S(u)max is the maximum value of S(u).] is computed, next, for u, the quantum Fourier transform is done.The complexity of this method is able to be several times.

Global Journal of Pure and Applied MathematicsVol. 20(4)
University of Tsukuba (JP), Tsukuba University of Technology (JP)
Openalex Percentile: Top 60%
Blockchain Technology in Education and Learning
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