Graphical description of the action of local Clifford transformations on graph states

Details Graphical description of the action of local Clifford transformations on graph states Graphical description of the action of local Clifford transformations on graph states

2003-08-27

arxiv.org/abs/quant-ph/0308151v2

Phys. Rev. A 69, 022316 (2004)

Physics

Quantum Physics

8 pages, 1 figure. Former title: "The evolution of graph states under local Clifford operations as graph transformations". Rep

Scientific paper

10.1103/PhysRevA.69.022316

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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