QUANTUM CONNECTION BETWEEN THE IONS IN DIFFERENT TRAPS

In this paper, we suggest a way to perform coherent quantum arithmetic operation on the ions in different traps by interaction-free measurement. The physical processes and implementation steps of the controlled-NOT operation are carefully investigated. This method is, in effect, to connect different ion tr a ps into one larger integral quantum register. Thus the more complex logic operat ions, as well as the quantum algorithm such as the Shor algorithm whose realizat ion needs thousands of pubits, perhaps will be implemented through this way. It is also pointed out that this method is potentially useful in quantum cryptograp hy and quantum communication.