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

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.

Phys. Rev. Lett. 85, 25, 5452-5455 (18 Dec 2000). Substantial changes in the presentation. Results and conclusions unchanged