dorsal/arxiv
View SchemaProper magnetic fields for nonadiabatic geometric quantum gates in NMR
| Authors | Kazuto Oshima, Koji Azuma |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0305109 |
| URL | https://arxiv.org/abs/quant-ph/0305109 |
| DOI | 10.1103/PhysRevA.68.034304 |
Abstract
In a scheme of nonadiabatic purely geometric quantum gates in nuclear magnetic resonance(NMR) systems we propose proper magnitudes of magnetic fields that are suitable for an experiment. We impose a natural condition and reduce the degree of freedom of the magnetic fields to the extent. By varying the magnetic fields with essentially one-dimensional degree of freedom, any spin state can acquire arbitrary purely geometric phase \phi_{g}=-2\pi(1-cos{theta}), 0 < cos{\theta} < 1. This is an essential ingredient for constructing universal geometric quantum gates.
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"abstract": "In a scheme of nonadiabatic purely geometric quantum gates in nuclear\nmagnetic resonance(NMR) systems we propose proper magnitudes of magnetic fields\nthat are suitable for an experiment. We impose a natural condition and reduce\nthe degree of freedom of the magnetic fields to the extent. By varying the\nmagnetic fields with essentially one-dimensional degree of freedom, any spin\nstate can acquire arbitrary purely geometric phase\n\\phi_{g}=-2\\pi(1-cos{theta}), 0 \u003c cos{\\theta} \u003c 1. This is an essential\ningredient for constructing universal geometric quantum gates.",
"arxiv_id": "quant-ph/0305109",
"authors": [
"Kazuto Oshima",
"Koji Azuma"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.68.034304",
"title": "Proper magnetic fields for nonadiabatic geometric quantum gates in NMR",
"url": "https://arxiv.org/abs/quant-ph/0305109"
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