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Study on realization of generalized quantum searching using nuclear magnetic resonance

Jingfu Zhang, Zhi-Heng Lu, Shan Lu, Zhiwei Deng

Published Oct 12, 2001• 0 citations
OpenAlex

Abstract

According to the theoretical results, the quantum searching algorithm can be generalized by replacing the Wash-Hadamard(W-H) transform by almost any quantum operator. We have implemented this generalized algorithm using nuclear magnetic resonance techniques with a solution of chloroform molecules. We find that experimental results represent a good agreement between theory and experiment.

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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.
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