Phys. Rev. A 69, 022316 (2004) [7 pages]Graphical description of the action of local Clifford transformations on graph statesReceived 19 September 2003; published 24 February 2004 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. © 2004 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevA.69.022316
DOI:
10.1103/PhysRevA.69.022316
PACS:
03.67.-a
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