Experimental realization of a continuous version of the Grover algorithm

Abstract

A continuous, analog version of the Grover algorithm is realized using NMR. The system studied is 23Na in a liquid crystal medium. The presence of quadrupolar coupling makes the spin I=3/2 nucleus a 2-qubit system. Applying a specially designed pulse sequence, the time evolution of the spin density operator is described in an interaction representation which has no external time-dependent radio-frequency fields. This approach is used to implement one instance of the continuous Grover search for the transform of a uniform state to a target state, and the implementation provides a clear physical interpretation of the algorithm. The experimental results are in good agreement with the theory.

14 pages plus 2 figures, accepted for publication in Phys. Rev. A

References in corpus (2)

• Experimental realization of Shor's quantum factoring algorithm using nuclear magnetic resonance
• NMR Simulation of an Eight-State Quantum System

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