Cluster States for Continuous-Variable Multipartite Entanglement
arXiv:quant-ph/0501112 · doi:10.1103/PhysRevA.73.032318
Abstract
We introduce a new class of continuous-variable (CV) multipartite entangled states, the CV cluster states, which might be generated from squeezing and kerr-like interaction. The entanglement properties of these states are studied in terms of classical communication and local operations. The quantum teleportation network with cluster states is investigated. The graph states as the general forms of cluster states are presented, which may be used to generate CV Greenberger-Horne-Zeilinger states by simply local measurements and classical communication. A chain for one-dimensional example of cluster states can be readily experimentally produced only with squeezed light and beamsplitters.
4 pages
References in corpus (5)
- Quantum information with continuous variables
- Multi-party entanglement in graph states
- Experimental Demonstration of Unconditional Entanglement Swapping for Continuous Variables
- Spatial structures and localization of vacuum entanglement in the linear harmonic chain
- Quantification and scaling of multipartite entanglement in continuous variable systems
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