Quantum computing with trapped ions in an optical cavity via Raman transition

In the system with ions confined both in a linear trap and in a high-Q single-mode optical cavity, a quantum computing scheme is proposed by using lasers and quantized cavity field, via Raman transition. A controlled-NOT gate with reduced operations can be performed on two non-neighboring ions without the involvement of both motional states of ions and cavity mode. Experimental feasibility of achieving our scheme is discussed.