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arXiv:quant-ph/0110076 · Physical Review A

Realization of generalized quantum searching using nuclear magnetic resonance

Jingfu Zhang, Zhiheng Lu, Shan Lu, Zhiwei Deng

Published Feb 4, 2002• 19 citations
arXivHTMLPDF

Abstract

According to the theoretical results, the quantum searching algorithm can be generalized by replacing the Walsh-Hadamard transform by almost any quantum-mechanical operation. We have implemented the generalized algorithm using nuclear magnetic resonance techniques with a solution of chloroform molecules. Experimental results show a good agreement between the theory and experiment.

DOI
10.1103/physreva.65.034301

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Using nuclear magnetic resonance techniques with a solution of chloroform molecules we implement Grover's search algorithm for a system with four states. By performing a tomographic reconstruction of the density matrix during the computation good agreement is seen between theory and experiment. This provides the first complete experimental demonstration of loading an initial state into a quantum computer, performing a computation requiring fewer steps than on a classical computer, and then reading out the final state.