Experimental Implementation of Hogg's Algorithm on a Three-Quantum-bit NMR Quantum Computer

Physics – Quantum Physics

Scientific paper

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Revtex, 14 pages and 1 table, 4 EPS figures

Scientific paper

10.1103/PhysRevA.65.042315

Using nuclear magnetic resonance (NMR) techniques with three-qubit sample, we have experimentally implemented the highly structured algorithm for the 1-SAT problem proposed by Hogg. A simplified temporal averaging procedure was employed to the three-qubit spin pseudo-pure state. The algorithm was completed with only a single evaluation of structure of the problem and the solutions were found with probability 100%, which outperform both unstructured quantum and the best classical search algorithm.

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