dorsal/arxiv
View SchemaExperimental realization of a continuous version of the Grover algorithm
| Authors | Vladimir L. Ermakov, B. M. Fung |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0208145 |
| URL | https://arxiv.org/abs/quant-ph/0208145 |
| DOI | 10.1103/PhysRevA.66.042310 |
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.
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"abstract": "A continuous, analog version of the Grover algorithm is realized using NMR.\nThe system studied is 23Na in a liquid crystal medium. The presence of\nquadrupolar coupling makes the spin I=3/2 nucleus a 2-qubit system. Applying a\nspecially designed pulse sequence, the time evolution of the spin density\noperator is described in an interaction representation which has no external\ntime-dependent radio-frequency fields. This approach is used to implement one\ninstance of the continuous Grover search for the transform of a uniform state\nto a target state, and the implementation provides a clear physical\ninterpretation of the algorithm. The experimental results are in good agreement\nwith the theory.",
"arxiv_id": "quant-ph/0208145",
"authors": [
"Vladimir L. Ermakov",
"B. M. Fung"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.66.042310",
"title": "Experimental realization of a continuous version of the Grover algorithm",
"url": "https://arxiv.org/abs/quant-ph/0208145"
},
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