Trapped cold ions are important candidates for building quantumcomputers in the future and provide attractive platforms to test certainfundamental laws such as quantum non-locality in quantum mechanics.

Generation of squeezed quantum states of a single trapped cold ion;

Generation of quantum controlled-NOT gates consists of sequentially applying three laser pulses to trapped cold ions.

Characteristic of decoherence of a trapped ion interacted with the modulated bath;

Regular and chaotic motions of a single trapped ion interacting with a flashing ratchet potential;

Nonlinear jaynes-cummings model of a trapped ion and the evolution of the ion population inversion;

Realization of quantum game with trapped ions;

Generation of cluster states of trapped ions;

Proposes a scheme to generate a superposition of motional coherent states with ar- bitrary multiple trapped ions.