Local complementation rule for continuous-variable four-mode unweighted graph states

Details Local complementation rule for continuous-variable four-mode unweighted graph states Local complementation rule for continuous-variable four-mode unweighted graph states

2008-08-14

arxiv.org/abs/0808.1995v1

Phys. Rev. A 78, 034301 (2008)

Physics

Quantum Physics

4 pages, 4 figures, appear in Phys. Rev. A

Scientific paper

10.1103/PhysRevA.78.034301

The local complementation rule is applied for continuous-variable (CV) graph states in the paper, which is an elementary graph transformation rule and successive application of which generates the orbit of any graph states. The corresponding local Gaussian transformations of local complementation for four-mode unweighted graph states were found, which do not mirror the form of the local Clifford unitary of qubit exactly. This work is an important step to characterize the local Gaussian equivalence classes of CV graph states.

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