dorsal/arxiv
View Schema"Spectral Implementation" for creating a labeled pseudo-pure state and the Bernstein-Vazirani's algorithm in a four-qubit nuclear magnetic resonance quantum processor
| Authors | Xinhua Peng, Xiwen Zhu, Ximing Fang, Mang Feng, Maili Liu, Kelin Gao |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0202008 |
| URL | https://arxiv.org/abs/quant-ph/0202008 |
| DOI | 10.1063/1.1642579 |
| Journal | The Journal of Chemical Physics, Volume 120, Issue 8, pp. 3579-3585, 2004 |
Abstract
A quantum circuit is introducted to describe the preparation of a labeled pseudo-pure state by mutiplet-component excitation scheme which has been experimentally implemented on a 4-qubit nuclear magnetic resonance quantum processor. Meanwhile, we theoretically analyze and numerically inverstigate the low-power selective single-pulse implementation of a controlled-rotation gate, which manifests its validity in our experiment. Based on the labeled pseudo-pure state prepared, a 3-qubit Bernstein-Vazirani algorithm has been experimentally demonstrated by spectral implementation. The "answers" of the computations are indentified from the split speak positions in the spectra of the observer spin, which are equivalent to projective measurements required by the algorithms.
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"abstract": "A quantum circuit is introducted to describe the preparation of a labeled\npseudo-pure state by mutiplet-component excitation scheme which has been\nexperimentally implemented on a 4-qubit nuclear magnetic resonance quantum\nprocessor. Meanwhile, we theoretically analyze and numerically inverstigate the\nlow-power selective single-pulse implementation of a controlled-rotation gate,\nwhich manifests its validity in our experiment. Based on the labeled\npseudo-pure state prepared, a 3-qubit Bernstein-Vazirani algorithm has been\nexperimentally demonstrated by spectral implementation. The \"answers\" of the\ncomputations are indentified from the split speak positions in the spectra of\nthe observer spin, which are equivalent to projective measurements required by\nthe algorithms.",
"arxiv_id": "quant-ph/0202008",
"authors": [
"Xinhua Peng",
"Xiwen Zhu",
"Ximing Fang",
"Mang Feng",
"Maili Liu",
"Kelin Gao"
],
"categories": [
"quant-ph"
],
"doi": "10.1063/1.1642579",
"journal_ref": "The Journal of Chemical Physics, Volume 120, Issue 8, pp.\n 3579-3585, 2004",
"title": "\"Spectral Implementation\" for creating a labeled pseudo-pure state and the Bernstein-Vazirani\u0027s algorithm in a four-qubit nuclear magnetic resonance quantum processor",
"url": "https://arxiv.org/abs/quant-ph/0202008"
},
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