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Experimental Realization of an Order-Finding Algorithm with an NMR Quantum Computer

Lieven M. K. Vandersypen·Matthias Steffen·Gregory Breyta·Costantino S. Yannoni·Richard Cleve·Isaac L. Chuang
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Abstract

We report the realization of a nuclear magnetic resonance (NMR) quantum computer which combines the quantum Fourier transform (QFT) with exponentiated permutations, demonstrating a quantum algorithm for order-finding. This algorithm has the same structure as Shor's algorithm and its speed-up over classical algorithms scales exponentially. The implementation uses a particularly well-suited five quantum bit molecule and was made possible by a new state initialization procedure and several quantum control techniques.

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Lieven M. K. Vandersypen, Matthias Steffen, Gregory Breyta, Costantino S. Yannoni, Richard Cleve, Isaac L. Chuang. 2000-12-20. Experimental Realization of an Order-Finding Algorithm with an NMR Quantum Computer. https://doi.org/10.1103/physrevlett.85.5452

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