We show that the control of the internal electronic state of a trapped ion in a cavity allows the construction of a Mach-Zehnder interferometer in which the interfering modes are a cavity field and the vibrational motion of the ion. The proper control of the internal state of the ion is achieved via the Zeno effect.
We propose a generation method of Bell-type states involving light and the vibrational motion of a single trapped ion. The trap itself is supposed to be placed inside a high-Q cavity sustaining a single mode, quantized electromagnetic field. Entangled light-motional states may be readily generated if a conditional measurement of the ion's internal electronic state is made after an appropriate interaction time and a suitable preparation of the initial state. We show that all four Bell states may be generated using different motional sidebands (either blue or red), as well as adequate ionic relative phases.
We propose a physical scheme for implementing quantum state transfer utilizing the interaction of a two-level trapped ion with a quantum monomode electromagnetic field within an optical cavity.The results show that by controlling the frequency of cavity field to be resonant with the carrier,quantum information can be transferred between cavity field and the internal state of the ion without the need for the selected measurement of the qubits.Quantum information may also be transmitted from the vibrational state of the ion into cavity mode,from the internal state of the ion into its vibration state, and from a single-qubit state into an entangled bipartite state by means of the measurement on the qubits when we tune the light field to the first blue sideband.A practical model of a quantum network is proposed.Finally,we analyze the experimental feasibility of the present scheme.