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A polynomial-time solution to the parity problem on an NMR quantum computer

2001/08/26 by Xijia Miao, Miao, Xijia
Physics and Astronomy · #FOS: Physical sciences #Quantum Physics (quant-ph) #quant-ph

paper · pdf · doi:10.48550/arxiv.quant-ph/0108116

18 pages, no figure. Some small errors are corrected, but conclusion is not changed

arxiv created 2001/09/06 · arxiv updated 2009/12/01

Abstract

An efficient quantum algorithm is proposed to solve in polynomial time the parity problem, one of the hardest problems both in conventional quantum computation and in classical computation, on NMR quantum computers. It is based on the quantum parallelism principle in a quantum ensemble, the selective decoherence manipulation, and the NMR phase-sensitive measurement. The quantum circuit for the quantum algorithm is designed explicitly.

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