Multipartite entanglement of three trapped ions in a cavity and W- State generation
arXiv:0804.1600 · doi:10.1088/0953-4075/41/16/165503
Abstract
A scheme to generate three qubit maximally entangled W-states, using three trapped ions interacting with red sideband tuned single mode field of a high finesse cavity, is proposed. For the cavity field initially prepared in a number state, the probability of generating three ion W-state is calculated. By using the ion-cavity coupling strengths achieved in experimental realizations, the interaction time needed for W-state generation is found to be of the order of 10 sec. It is found that for a fixed number of photons in the cavity the nature of entanglement of ionic internal states can be manipulated by appropriate choice of initial state phonon number. The ionic qubits in W-like state are found to be entangled to cavity photons. Analytical expressions for global negativity and partial way negativities (K=2 to 4) are obtained to study the evolution of entanglement distribution as a function of interaction parameter. Reversible entanglement exchange between different entanglement modes is observed. For specific values of interaction parameter, the three ions and photon-phonon system are found to have four partite entanglement, generated by 2-way and 3-way correlations.
arXiv comment17 pages, 07 figures, improvments to introduction and typo errors corrected
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