dorsal/arxiv
View SchemaNumerical simulation of a Controlled-Controlled-Not (CCN) quantum gate in a chain of three interacting nuclear spins system
| Authors | Gustavo V. Lopez, Lorena Lara |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0608147 |
| URL | https://arxiv.org/abs/quant-ph/0608147 |
| DOI | 10.1088/0953-4075/39/18/019 |
Abstract
We present the study of a quantum Controlled-Controlled-Not gate, implemented in a chain of three nuclear spins weakly Ising interacting between all of them, that is, taking into account first and second neighbor spin interactions. This implementation is done using a single resonant $\pi$-pulse on the initial state of the system (digital and superposition). The fidelity parameter is used to determine the behavior of the CCN quantum gate as a function of the ratio of the second neighbor interaction coupling constant to the first neighbor interaction coupling constant ($J'/J$). We found that for $J'/J\ge 0.02$ we can have a well defined CCN quantum gate.
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"date_created": "2026-03-02T18:02:31.102000Z",
"date_modified": "2026-03-02T18:02:31.102000Z",
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"abstract": "We present the study of a quantum Controlled-Controlled-Not gate, implemented\nin a chain of three nuclear spins weakly Ising interacting between all of them,\nthat is, taking into account first and second neighbor spin interactions. This\nimplementation is done using a single resonant $\\pi$-pulse on the initial state\nof the system (digital and superposition). The fidelity parameter is used to\ndetermine the behavior of the CCN quantum gate as a function of the ratio of\nthe second neighbor interaction coupling constant to the first neighbor\ninteraction coupling constant ($J\u0027/J$). We found that for $J\u0027/J\\ge 0.02$ we can\nhave a well defined CCN quantum gate.",
"arxiv_id": "quant-ph/0608147",
"authors": [
"Gustavo V. Lopez",
"Lorena Lara"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/0953-4075/39/18/019",
"title": "Numerical simulation of a Controlled-Controlled-Not (CCN) quantum gate in a chain of three interacting nuclear spins system",
"url": "https://arxiv.org/abs/quant-ph/0608147"
},
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