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Phys Rev Lett. 2000 Dec 18;85(25):5452-5.

Experimental realization of an order-finding algorithm with an NMR quantum computer.

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Solid State and Photonics Laboratory, Stanford University, Stanford, California 94305-4075, USA.


We report the realization of a nuclear magnetic resonance quantum computer which combines the quantum Fourier transform 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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