dorsal/arxiv
View SchemaQuantum computation with abelian anyons on the honeycomb lattice
| Authors | Jiannis K. Pachos |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0511273 |
| URL | https://arxiv.org/abs/quant-ph/0511273 |
| Journal | International Journal of Quantum Information, Vol. 4, No. 6 (2006) 947-954 |
Abstract
We consider a two-dimensional spin system that exhibits abelian anyonic excitations. Manipulations of these excitations enable the construction of a quantum computational model. While the one-qubit gates are performed dynamically the model offers the advantage of having a two-qubit gate that is of topological nature. The transport and braiding of anyons on the lattice can be performed adiabatically enjoying the robust characteristics of geometrical evolutions. The same control procedures can be used when dealing with non-abelian anyons. A possible implementation of the manipulations with optical lattices is developed.
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"abstract": "We consider a two-dimensional spin system that exhibits abelian anyonic\nexcitations. Manipulations of these excitations enable the construction of a\nquantum computational model. While the one-qubit gates are performed\ndynamically the model offers the advantage of having a two-qubit gate that is\nof topological nature. The transport and braiding of anyons on the lattice can\nbe performed adiabatically enjoying the robust characteristics of geometrical\nevolutions. The same control procedures can be used when dealing with\nnon-abelian anyons. A possible implementation of the manipulations with optical\nlattices is developed.",
"arxiv_id": "quant-ph/0511273",
"authors": [
"Jiannis K. Pachos"
],
"categories": [
"quant-ph",
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"journal_ref": "International Journal of Quantum Information, Vol. 4, No. 6 (2006)\n 947-954",
"title": "Quantum computation with abelian anyons on the honeycomb lattice",
"url": "https://arxiv.org/abs/quant-ph/0511273"
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