Abstract
An alternative scheme is proposed for one-step generation of multiparticle cluster state with trapped ions in thermal motion. In this scheme, the ions are simultaneously illuminated by a standing-wave laser tuned to the carrier. During the operations, the vibrational mode is virtually excited, thus the quantum operations are insensitive to the heating. It is shown that the high fidelity multiparticle entanglement could be generated in just one step even including the small fluctuations of parameters. In addition, the ion does not need to be exactly positioned at the node of the standing wave, which is also important from the viewpoint of experiment.
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