dorsal/arxiv
View SchemaGraphical description of the action of local Clifford transformations on graph states
| Authors | Maarten Van den Nest, Jeroen Dehaene, Bart De Moor |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0308151 |
| URL | https://arxiv.org/abs/quant-ph/0308151 |
| DOI | 10.1103/PhysRevA.69.022316 |
| Journal | Phys. Rev. A 69, 022316 (2004) |
Abstract
We translate the action of local Clifford operations on graph states into transformations on their associated graphs - i.e. we provide transformation rules, stated in purely graph theoretical terms, which completely characterize the evolution of graph states under local Clifford operations. As we will show, there is essentially one basic rule, successive application of which generates the orbit of any graph state under local unitary operations within the Clifford group.
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"abstract": "We translate the action of local Clifford operations on graph states into\ntransformations on their associated graphs - i.e. we provide transformation\nrules, stated in purely graph theoretical terms, which completely characterize\nthe evolution of graph states under local Clifford operations. As we will show,\nthere is essentially one basic rule, successive application of which generates\nthe orbit of any graph state under local unitary operations within the Clifford\ngroup.",
"arxiv_id": "quant-ph/0308151",
"authors": [
"Maarten Van den Nest",
"Jeroen Dehaene",
"Bart De Moor"
],
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"quant-ph"
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"doi": "10.1103/PhysRevA.69.022316",
"journal_ref": "Phys. Rev. A 69, 022316 (2004)",
"title": "Graphical description of the action of local Clifford transformations on graph states",
"url": "https://arxiv.org/abs/quant-ph/0308151"
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