dorsal/arxiv
View SchemaUniversal quantum gates based on a pair of orthogonal cyclic states: Application to NMR systems
| Authors | Shi-Liang Zhu, Z. D. Wang |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0210027 |
| URL | https://arxiv.org/abs/quant-ph/0210027 |
| DOI | 10.1103/PhysRevA.67.022319 |
| Journal | Phye. Rev. A 67, 022319 (2003) |
Abstract
We propose an experimentally feasible scheme to achieve quantum computation based on a pair of orthogonal cyclic states. In this scheme, quantum gates can be implemented based on the total phase accumulated in cyclic evolutions. In particular, geometric quantum computation may be achieved by eliminating the dynamic phase accumulated in the whole evolution. Therefore, both dynamic and geometric operations for quantum computation are workable in the present theory. Physical implementation of this set of gates is designed for NMR systems. Also interestingly, we show that a set of universal geometric quantum gates in NMR systems may be realized in one cycle by simply choosing specific parameters of the external rotating magnetic fields. In addition, we demonstrate explicitly a multiloop method to remove the dynamic phase in geometric quantum gates. Our results may provide useful information for the experimental implementation of quantum logical gates.
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"abstract": "We propose an experimentally feasible scheme to achieve quantum computation\nbased on a pair of orthogonal cyclic states. In this scheme, quantum gates can\nbe implemented based on the total phase accumulated in cyclic evolutions. In\nparticular, geometric quantum computation may be achieved by eliminating the\ndynamic phase accumulated in the whole evolution. Therefore, both dynamic and\ngeometric operations for quantum computation are workable in the present\ntheory. Physical implementation of this set of gates is designed for NMR\nsystems. Also interestingly, we show that a set of universal geometric quantum\ngates in NMR systems may be realized in one cycle by simply choosing specific\nparameters of the external rotating magnetic fields. In addition, we\ndemonstrate explicitly a multiloop method to remove the dynamic phase in\ngeometric quantum gates. Our results may provide useful information for the\nexperimental implementation of quantum logical gates.",
"arxiv_id": "quant-ph/0210027",
"authors": [
"Shi-Liang Zhu",
"Z. D. Wang"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.67.022319",
"journal_ref": "Phye. Rev. A 67, 022319 (2003)",
"title": "Universal quantum gates based on a pair of orthogonal cyclic states: Application to NMR systems",
"url": "https://arxiv.org/abs/quant-ph/0210027"
},
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