Local complementation rule for continuous-variable four-mode unweighted graph states
arXiv:0808.1995 · doi:10.1103/PhysRevA.78.034301
Abstract
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.
4 pages, 4 figures, appear in Phys. Rev. A
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Cited by in corpus (10)
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- Graphical description of local Gaussian operations for continuous-variable weighted graph states
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- Bipartite Entanglement in Continuous-Variable Cluster States
- Quantum Logical Gates with Linear Quadripartite Cluster States of Continuous Variables
- Continuous-variable multipartite unlockable bound entangled Gaussian states
- Graphical rule of transforming continuous-variable graph states by local homodyne detection
- Scheme for constructing graphs associated with stabilizer quantum codes