Experimental realization of an order-finding algorithm with an NMR quantum computer |
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Authors: | Vandersypen L M Steffen M Breyta G Yannoni C S Cleve R Chuang I L |
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Affiliation: | Solid State and Photonics Laboratory, Stanford University, Stanford, California 94305-4075, USA. lieven@snow.stanford.edu |
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Abstract: | 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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