Tsallis Entropies and Entanglement of Superposed Trio Coherent States

For the superposed trio coherent states, entanglement between one mode and the other two modes is measured by the Tsallis entropies. It is found that tinder certain conditions there exist maximum values for the Tsallis entropies of the superposed states, while there are no maxima for the single trio coherent state. Furthermore, entanglement transfer from the superposed trio coherent states to three initially separable qubits is discussed. When the Tsallis entropies are around the maximum values, the three qubits can be almost maximally entangled. Specifically, the three qubits tend to the Greenberger-Horne-Zeilinger (GHZ)-like state.