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| related topics |
| {let, theorem, proof} |
| {group, space, representation} |
| {state, states, entangled} |
| {qubit, qubits, gate} |
| {error, code, errors} |
| {states, state, optimal} |
| {state, algorithm, problem} |
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Graphical description of the action of local Clifford transformations on
graph states
Maarten Van den Nest, Jeroen Dehaene, Bart De Moor
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.
- oai_identifier:
- oai:arXiv.org:quant-ph/0308151
- categories:
- quant-ph
- comments:
- 8 pages, 1 figure. Former title: "The evolution of graph states under
local Clifford operations as graph transformations". Replaced with revised
version. Minor changes. To appear in Phys. Rev. A
- doi:
- 10.1103/PhysRevA.69.022316
- arxiv_id:
- quant-ph/0308151
- journal_ref:
- Phys. Rev. A 69, 022316 (2004)
- created:
- 2003-08-27
- updated:
- 2004-02-17
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