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Quantum Gauss Jordan Elimination

Do Ngoc Diep, Do Hoang Giang

quant-pharXiv:quant-ph/0511062

Abstract

In this paper we construct the Quantum GaußJordan Elimination (QGJE) Algorithm and estimate the complexity time of computation of Reduced Row Echelon Form (RREF) of an N× N matrix using QGJE procedure. The main theorem asserts that QGJE has computation time of order 2N/2.

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